Boehmians, pseudoquotients,

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1 Boehmians, pseudoquotients, and related topics This is a list of papers on Boehmians, pseudoquotients, and related topics. If you know of a paper that is missing from my list, or if you have any other suggestions or corrections, please send a message to Piotr.Mikusinski@ucf.edu. 1. D. Nemzer, Extending the Stieltjes transform, Sarajevo J. Math.Vol. 10, (2014), D. Nemzer, Extending the Stieltjes transform II, Fract. Calc. Appl. Anal., Vol. 17 (2014), L. Akila and R. Roopkumar, A natural convolution of quaternion valued functions and its applications, Applied Mathematics and Computation, Vol. 242 (2014), C. Ganesan and R. Roopkumar, Fourier cosine and sine transformable Boehmians, Kyungpook Mathematical Journal, Vol. 54 (2014), R. Subash Moorthy and R. Roopkumar, Curvelet transform for tempered Boehmians, Integration: Mathematical Theory and Applications, Vol. 3 (2014), R. Subash Moorthy and R. Roopkumar, Curvelet transform for Boehmians Arab Journal of Mathematical Sciences, 20 (2014), D. Atanasiu, P. Mikusiński, and A. Siple, Pseudoquotients on commutative Banach algebras, Banach J. Math. Anal. 8 (2014), J. Burzyk and P. Mikusiński, Distributions of finite order as a space of pseudoquotients, Integral Transform. Spec. Funct. 25 (2014), R. Roopkumar, On extension of Gabor transform to Boehmians, Matematicki Vesnik, Vol. 65 (2013), R. Roopkumar, Stockwell transform for Boehmians, Integral transforms and Special functions, Vol. 24, No. 4, (2013), S.K.Q. Al-Omari, On The Application of Natural Transforms, International Journal of Pure and Applied Mathematics, Volume 85 No , S.K.Q. Al-Omari and Adam Kilicman, Note on Boehmians for Class of Optical Fresnel Wavelet Transforms, Journal of Function Spaces and Applications, Volume 2012, Article ID , 14 pages. 13. S.K.Q. Al-Omari and Adam Kilicman, On Generalized Hartley-Hilbert and Fourier-Hilbert Transforms, Advances in Difference Equations 2012, 2012:232 doi: /

2 14. S.K.Q. Al-Omari, Hartley transforms on a certain space of generalized functions, Georgian Mathematical Journal. 20(3), , DOI: /gmj , August S.K.Q. Al-Omari and Adam Kilicman, On the Generalized Hartley and Hartley-Hilbert Transformations, Advances in Difference Equations 2013, 2013:222 doi: / , S.K.Q. Al-Omari, A Note on Fba Transformation of Generalized Functions, International Journal of Pure and Applied Mathematics, Volume 86 No , R. Roopkumar, Watson transform for Boehmians, Integration: Mathematical Theory and Applications, Vol. 3 (2012), R. Roopkumar, Extension of ridgelet transform to tempered Boehmians, Novi Sad Journal of Mathematics, Vol. 42 (2012), S.K.Q. Al-Omari, The Mellin Transformation for a Space of Distributions of Bounded Support and its Extention to Boehmian Spaces, Proceedings of the First International Conference on Mathematics and Statistics , (2010) AUS-ICMS 10, American University of Sharjah Sharjah, U.A.E. 20. S.K.Q. Al-Omari, S.L. Kalla, P.K.Banerji, and Dishna Loonker, Fourier Sine (cosine) Transform for Ultra distributions and their Extensions to Tempered and Ultra Boehmian space, Integral Transforms and Special Functions 19(6) (2008), S.K.Q.Al-Omari, Hartley Transform for Lp Boehmians and Spaces of Ultradistributions, International Mathematical Forum, Vol. 7, 2012, no. 9, S.K.Q. Al-Omari, A note On Elzaki Transforms On Boehmians, Glob. J. Sci. Fron. Res., Volume 11 Issue 10 Version 1.0 December S.K.Q. Al-Omari, Notes for Hartley Transform of Generalized Functions, Italian j. Pure and Applied Math. Vol.28. (2011), S.K.Q. Al-Omari, Boehmians for an Optical Fresnel-Wavelet Transform, Gen. Math. Notes, Vol. 8, No. 2, February 2012, S.K.Q. Al-Omari. Boehmians and Elzaki Transform, Gen. Math. Notes, Vol. 9, No. 1, March 2012, S.K.Q. Al-Omari. The Generalized Stieltjes and Fourier Transforms of Certain Spaces of Generalized Functions, Jord. J. Math. Stat. 2(2) (2009), S.K.Q. Al-Omari and Adam Kilicman, Some Remarks on the Extended Hartley-Hilbert and Fourier- Hilbert Transforms of Boehmians, Abstract and Applied Analysis Volume 2013, Article ID , 6 pages. 28. S.K.Q. Al-Omari, SHORT NOTE ON THE DISTRIBUTIONAL DIFFRACTION FRESNEL SINE (COSINE) TRANSFORM, International Journal of Pure and Applied Mathematics, Volume 87 No. 3 (2013),

3 29. S.K.Q. Al-Omari, On the Generalized Sumudu Transform, J. Applied Functional Analysis, 9(1-2) (2014), S.K.Q. Al-Omari and Adam Kilicman, On the Generalized Kratzel Transform and Its Extension to Bohemian Spaces, Abstract and Applied Analysis,Volume 2013, Article ID , 7 pages. 31. S.K.Q.Al-Omari and Adam Kilicman, On Modified Mellin Transform of Generalized Functions, Abstract and Applied Analysis,Volume 2013, Article ID , 6 pages. 32. S.K.Q. Al-Omari, On Fourier Transform and its Extension to a Space of Generalized Functions, Journal of Advances in Mathematics, 1(1), (2013), A. Majeed and P. Mikusiński, Derivations on pseudoquotients, Ukrainian Mathematical Journal 65 (2013), A. Katsevich and P. Mikusiński, Order in spaces of pseudoquotients, Topology Proceedings 44 (2014), D. Nemzer, Boehmians, ultradifferential operators and abelian type theorems, Bull. Math. Anal. Appl. 5 (2013), S. K. Q. Al-Omari, Distributional and tempered distributional diffraction Fresnel transforms and their extension to Boehmian spaces, Ital. J. Pure Appl. Math. 30 (2013), S. K. Q. Al-Omari and A. Kilicman, An estimate of Sumudu transforms for Boehmians, Adv. Difference Equ. 2013, 2013:77, 10 pp. 38. S. K. Q. Al-Omari and A. Kilicman, Unified treatment of the Krätzel transformation for generalized functions, Abstr. Appl. Anal. 2013, Art. ID , 7 pp. 39. R. Roopkumar,E. R. Negrin, and C. Ganesan, Fourier sine and cosine transforms on Boehmian spaces, Asian-Eur. J. Math. 6 (2013), , 17 pp. 40. S. K. Q. Al-Omari and A. Kilicman, Some remarks on the extended Hartley-Hilbert and Fourier- Hilbert transforms of Boehmians, Abstr. Appl. Anal. 2013, Art. ID , 6 pp. 41. J. Beardsley and P. Mikusiński, A Sheaf of Boehmians, Ann. Polon. Math. 107 (2013), P. Mikusiński and S. Purtee, Connectedness in spaces of pseudoquotients, Topology Proceedings 40 (2012), C. Arteaga and I. Marrero, The Hankel transform of tempered Boehmians via the exchange property, Appl. Math. Comput. 219 (2012), S. K. Q. Al-Omari, Generalized functions for double Sumudu transformation, Int. J. Algebra 6 (2012), S. K. Q. Al-Omari and A. Kilicman, On diffraction Fresnel transforms for Boehmians, Abstr. Appl. Anal. 2011, Art. ID , 11 pp.

4 46. S. K. Q. Al-Omari, Sumudu transforms for Boehmians, Int. Math. Forum 6 (2011), R. Roopkumar, Extended ridgelet transform on distributions and Boehmians, Asian-Eur. J. Math. 4 (2011), no. 3, S. K. Q. Al-Omari, A Mellin transform for a space of Lebesgue integrable Boehmians, Int. J. Contemp. Math. Sci. 6 (2011), no D. Atanasiu, P. Mikusiński, and D. Nemzer, An algebraic approach to tempered distributions, J. Math. Anal. Appl., 384 (2011), R. Roopkumar and E. R. Negrin, A unified extension of Stieltjes and Poisson transforms to Boehmians, Integral Transforms and Special Functions, 22 (2011), S. K. Q. Al-Omari, On the Distributional Mellin Transformation and its Extension to Boehmian Spaces, Int. J. Contemp. Math. Sciences, 6 (2011), A. Singh and P. K. Banerji, Dunkl transform of integrable Boehmians, J. Rajasthan Acad. Phys. Sci. 10 (2011), P. Mikusiński, Boehmians and pseudoquotients, Appl. Math. Inf. Sci. 5 (2011), V. Karunakaran and R. Angeline Chella Rajathi, Gelfand transform for a Boehmian space of analytic functions, Ann. Polon. Math. 101 (2011), D. Loonker and P. K. Banerji, Kontorovich-Lebedev transform for integrable Boehmians, J. Indian Acad. Math. 32 (2010), D. Nemzer, Poisson s equation and generalized functions in the plane, Bull. Pure Appl. Math. 4 (2010), V. Karunakaran and C. Prasanna Devi, Fourier transform on Hs-Boehmian, Int. J. Mod. Math. 5 (2010), R. Bhuvaneswari and V. Karunakaran, Boehmians of type S and their Fourier transforms, Ann. Univ. Mariae Curie-Skłodowska Sect. A 64 (2010), V. Karunakaran and C. Ganesan, One point compactification for generalized quotient spaces, Appl. Gen. Topol., 11 (2010), V. Karunakaran, R. Bhuvaneswari, Boundary value of analytic functions and Boehmians of analytic type, Int. Journal of Math. Analysis, 4 (2010), R. Bhuvaneswari and V. Karunakaran, Boehmians of type S and their Fourier transforms, Annales UMCS, Mathematica, 64 (2010), V. Karunakaran and R. Bhuvaneswari, A Plancherel-Type Theorem for Boehmians, International Journal of Modern Mathematics, 5(2) (2010), V. Karunakaran, C. Prasanna Devi, The Laplace transform on a Boehmian space, Ann. Polon. Math., 97 (2010),

5 64. Deshna Loonker, P. K. Banerji, and S. L. Kalla, Wavelet Transform of Fractional Integrals for Integrable Boehmians, Applications and Applied Mathematics, 5 (2010), A. Singh, D. Loonker, P. K. Banerji, Fourier-Bessel transform for tempered Boehmians, Int. Journal of Math. Analysis, 4 (2010), D. Nemzer, S-asymptotic properties of Boehmians, Integral Trasforms Spec. Funct., Vol. 21, No. 7, (2010), Deshna Loonker, P. K. Banerji, Lokenath Debnath, On the Hankel transform for Boehmians, Integral Trasforms Spec. Funct., Vol. 21, No. 7, (2010), Deshna Loonker, P. K. Banerji, Lokenath Debnath, Hartley transform for integrable Boehmians, Integral Trasforms Spec. Funct., Vol. 21, No. 6, (2010), R. Roopkumar and E. R. Negrin, Poisson Transform on Boehmians, Applied Mathematics and Computation, Vol. 216, (2010), R. Roopkumar and E. R. Negrin, Exchange Formula For Generalized Lambert Transform And Its Extension To Boehmians, Bulletin of Mathematical Analysis and Applications, Vol. 2, No. 2, (2010), C. Ganesan, Weighted Ultra Distributions and Boehmians, Int. Journal of Math. Analysis, Vol. 4, 2010, no. 15, V. Karunakaran and C. Ganesan, Fourier transform on integrable Boehmians, Integral Transforms Spec. Funct. 20 (2009), D. Nemzer, A Note on Multipliers for Integrable Boehmians, Fract. Calc. Appl. Anal., 12 (2009), R. Roopkumar, Convolution theorems for wavelet transform on tempered distributions and their extensions to tempered Boehmians, Asian-European Journal of Mathematics 2 (2009), R. Roopkumar, An Extension of Distributional Wavelet Transform, Colloquium Mathematicum 115 (2009), R. Roopkumar, Mellin Transform for Boehmians, Bulletin of Institute of Mathematics Academia Sinica New Series 4 (2009), D. Nemzer, Some results on harmonic Boehmians, Bulletin of Institute of Mathematics Academia Sinica New Series 4 (2009), V. Karunakaran and C. Ganesan, The theory of generalized integral transforms, J. Anal. 16 (2008), V. Swaminathan and K. Krishnan, Fourier transform for ultra differentiable Boehmians. Acta Cienc. Indica Math. 34 (2008),

6 80. V. Karunakaran and R. Roopkumar, On Generalized Product, Integration: Mathematical Theory and Applications 1 (2008), D. Nemzer, A note on the convergence of a series in the space of Boehmians, Bull. Pure Appl. Math. 2 (2008), V. Karunakaran and C. Ganesan, Topology and the notion of convergence on generalized quotient spaces, Int. J. Pure Appl. Math. 44 (2008), D. Loonker and P. K. Banerji, Generalized Stieltjes transform and its fractional integrals for integrable Boehmian, Aust. J. Math. Anal. Appl. 5 (2008), Art. 8, 8 pp. 84. D. Loonker and P. K. Banerji, Cauchy representation of Hilbert transform for integrable Boehmians, J. Anal. Comput. 3 (2007), D. Loonker and P. K. Banerji, Mehler-Fock transform for integrable Boehmians, J. Indian Acad. Math. 29 (2007), D. Nemzer, Paley-Wiener theorems for trigonometric series, J. Indian Math. Soc. (N.S.) 74 (2007), D. Loonker and P. K. Banerji, Mellin transform of fractional integrals for integrable Boehmians, J. Indian Math. Soc. (N.S.) 74 (2007), D. Loonker and P. K. Banerji, The Cauchy representation of integrable and tempered Boehmians, Kyungpook Math. J. 47 (2007), D. Loonker and P. K. Banerji, On the Laplace and the Fourier transformations of fractional integrals for integrable Boehmians, Bull. Calcutta Math. Soc. 99 (2007), R. Roopkumar, Stieltjes transform for Boehmians, Integral Transforms Spec. Funct. 18 (2007), D. Atanasiu and P. Mikusiński, On the Fourier Transform, Boehmians, and Distributions, Colloq. Math. 108 (2007), D. Nemzer, One-Parameter Groups of Boehmians, Bulletin of the Korean Mathematical Society 44 (2007), D. Nemzer, Integrable Boehmians, Fourier Transforms, and Poisson s Summation Formula, Applicable Analysis and Discrete Mathematics 1 (2007), P. K. Banerji, Unfolding the concepts of Boehmians and their applications, Math. Student 75 (2006), D. Loonker and P. K. Banerji, Plancherel theorem for wavelet transform for vector valued functions and Boehmians, J. Indian Math. Soc. (N.S.) 73 (2006), S. B. Gaikwad and M. S. Chaudhary, Fractional Fourier transforms of ultra Boehmians, J. Indian Math. Soc. (N.S.) 73 (2006),

7 97. D. Nemzer, Boehmians on the Torus, Bulletin of the Korean Mathematical Society 43 (2006), D. Loonker and P. K. Banerji, Laplace transform for Integrable Boehmians, Bull. Cal. Math. Soc. 98 (2006), P. K. Banerji and D. Loonker, An Introduction to Boehmians and their Transforms, In the Proc. of Seventh Annual Conference of SSFA Pune (India), 7 (2006), R. Roopkumar, Generalized Radon Transform, Rocky Mountain J. Math., 36 (2006), D. Atanasiu, Fourier transform and the Boehme property, Integral Transforms Spec. Funct. 17 (2006), R. Roopkumar, Multiplication of Boehmians, Journal of the Indian Mathematical Society, 72 (2005), D. Loonker and P. K. Banerji, Kontorovich-Lebedev transformation of tempered distribution and tempered Boehmians, J. Rajasthan Acad. Phys. Sci., 4 (2005), D. Nemzer, Lacunary Boehmians, Integral Transforms Spec. Funct., 16 (2005), V. Karunakaran and R. Vembu, On point values of Boehmians, Rocky Mountain J. Math., 35 (2005), V. Karunakaran and R. Roopkumar, Operational Calculus and Fourier Transform on Boehmians, Colloquium Mathematicum, 102 (2005) D. Atanasiu and P. Mikusiński, On the Fourier Transform and the Exchange Property, Internat. J. Math. Math. Sci., 16 (2005), J. Burzyk, P. Mikusiński, and D. Nemzer, Remarks on topological properties of Boehmians, Rocky Mountain J. Math., 35 (2005), J. Burzyk and P. Mikusiński, A characterization of distribution of finite order in the space of Boehmians, Integral Transform. Spec. Funct., 16 (2005), P. Mikusiński, Generalized Quotients With Applications In Analysis, Methods Appl. Anal., 10 (2004), P. K. Banerji, D. Loonker, and L. Debnath, Wavelet transforms for integrable Boehmians, J. Math. Anal. Appl., 296 (2004), D. Nemzer, Generalized functions and an extended gap theorem, Indian J. Pure Appl. Math., 35 (2004), D. Loonker and P. K. Banerji, Wavelet transform for the tempered Boehmians, Hadronic J. Suppl., 18 (2003), R. Roopkumar, On Extension of Fourier Transform, International Journal of Mathematics, Game theory and Algebra, 13 (2003),

8 115. J. Burzyk and P. Mikusiński, A generalization of the construction of a field of quotients with applications in analysis, Int. J. Math. Sci., 2 (2003), P. Mikusiński, Generalized Functions and Convolutions, Cubo Matemtica Educacional, 5 (2003), V. Swaminathan and K. Krishnan, The Mellin transform for two spaces of Boehmians, Acta Cienc. Indica Math., 29 (2003), V. Karunakaran and R. Roopkumar, Periodic Beurling Boehmians and Analytic Boehmians, Methods Appl. Anal., 10 (2003), V. Karunakaran and R. Vembu, Boehmians and their Convolution Transforms, Int. J. Math. Game Theory Algebra, 13 (2003), N. V. Kalpakam and S. Ponnusamy, Convolution transform for Boehmians, Rocky Mountain J. Math., 33 (2003), V. Karunakaran and R. Vembu, Hilbert transform on periodic Boehmians, Houston J. Math., 29 (2003), R. Roopkumar, Wavelet analysis on a Boehmian space, Int. J. Math. Math. Sci., 15 (2003), V. Karunakaran and V. Baby Thilaga, Laplace transform for vector valued Boehmians. J. Indian Math. Soc. (N.S.) 69 (2002), V. Swaminathan and K. Krishnan, The Laplace transform of tempered Boehmians, Acta Cienc. Indica Math., 28 (2002), V. Karunakaran and R. Roopkumar, Boehmians and their Hilbert Transforms, Integral Transform. Spec. Funct., 13 (2002), V. Karunakaran and R. Roopkumar, Ultra Boehmians and their Fourier transforms, Fract. Calc. Appl. Anal., 5 (2002), P. K. Banerji and Deshna Loonker, Generalized Schwartz distribution: the Boehmians, J. Rajasthan Acad. Phys. Sci., 1 (2002), M. Morimoto, Two definitions of Boehmians on the sphere, Progress in analysis, World Sci. Publishing, Berlin, (2001), P. Mikusiński and M. Morimoto, Boehmians on the sphere and their spherical harmonic expansions, Fract. Calc. Appl. Anal., 4 (2001), D. Loonker, Boehmians : A Different Concept of Distributions, In Proceedings of the International Conference on the Works of Srinivasa Ramanujan, Eds. Chandrashekar Adiga and D. D. Somashekra, pp , Dept. of Studies in Mathematics, University of Mysore, Mysore (India), May 2001.

9 131. D. Loonker, Boehmian Spaces and Wavelets. In Proceedings of the National Conference on Mathematical Analysis and Applications (NCMAA), held at the Himachal Pradesh University, Shimla (India), during Nov. 7 9 (2000) (ed. R.C. Sharma) (2003), V. Karunakaran and N. V. Kalpakam, Boehmians representing measures, Houston J. Math., 26 (2000), P. K. Banerji and D. Loonker, On the Mellin transform of tempered Boehmians, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 62 (2000), P. Mikusiński, Boehmians on manifolds, Int. J. Math. Math. Sci., 24 (2000), D. Nemzer, A Uniqueness Theorem for Boehmians of Analytic Type, Int. J. Math. Math. Sci., 24 (2000), J. J. Betancor, On asymptotic behaviours of Boehmians and Zemanian distributions, Acta Sci. Math. (Szeged), 65 (1999), P. Mikusiński and B. A. Pyle, Boehmians on the Sphere, Integral Transform. Spec. Funct. 10 (2000), V. Karunakaran and N.V.Kalpakam, Weierstrass Transform For Boehmians, Int. J. Math. Game Theory Algebra, 11 (2001), V. Karunakaran and N.V.Kalpakam, Hilbert Transform For Boehmians, Integral Transform. Spec. Funct., 9 (2000), V. Karunakaran and T. Venugopal, A New Space for Fourier transform, Integral Transform. Spec. Funct., 9 (2000), V. Karunakaran and N.V.Kalpakam, Boehmians and Fourier transforms, Integral Transform. Spec. Funct., 9 (2000), V. Karunakaran and T. Venugopal, Convolution Transform for Generalized Functions, Integral Transform. Spec. Funct., 8 (1999), V. Karunakaran and N.V.Kalpakam, Boehmians Representing Measures, Houston J. Math., 26 (2000), D. Nemzer, A Generalized Product, Bull. Inst. Math. Acad. Sinica, 27 (1999), A. Zayed, Fractional Fourier Transforms of Generalized Functions, Integral Transform. Spec. Funct., 7 (1998), V. Karunakaran and V. B. Thilaga, Plancherel theorem for vector valued functions and Boehmians, Rocky Mountain J. Math. 28 (1998), D. Nemzer, A Space of Convolution Quotients, Ranchi Univ. Math. J. 28 (1997),

10 148. P. Mikusiński, On flexibility of Boehmians, Integral Transform. Spec. Funct. 4 (1996), (Proceedings of the Conference Different Aspects of Differentiability II, Gordon and Breach, Yverdon, 1996) D. Nemzer, A note on generalized logarithms, Bull. Inst. Math. Acad. Sinica 25 (1997), D. Nemzer, The dual space of B(G), Int. J. Math. Math. Sci. 20 (1997), D. Nemzer, Convolution Quotients of Beurling Type, Math. Japonica 43 (1996), J. J. Betancor, M. Linares and J. M. R. Mndez, Ultraspherical transform of summable Boehmians, Math. Japon. 44 (1996), J. J. Betancor, M. Linares and J. M. R. Mndez, The Hankel transform of tempered Boehmians, Boll. Un. Mat. Ital. B (7) 10 (1996), J. J. Betancor, M. Linares and J. M. R. Mndez, The Hankel transform of integrable Boehmians, Appl. Anal. 58 (1995), P. Mikusiński, A. Morse and D. Nemzer, The two-sided Laplace transform for Boehmians, Integral Transform. Spec. Funct. 2 (1994), A. Zayed and P. Mikusiński, On the extension of the Zak transform, Methods Appl. Anal. 2 (1995), P. Mikusiński and M. L. Mott, The integral wavelet transform of convolutors, Integral Transform. Spec. Funct. 3 (1995), P. Mikusiński, Transforms of Boehmians, Dissertationes Math. (Rozprawy Mat.) 340 (1995), (Different aspects of differentiability, Polish Acad. Sci., Warsaw, 1995) 159. P. Mikusiński and M. Tighiouart, Value of a Boehmian at a point and at infinity, Rocky Mountain J. Math. 24 (1994), D. Nemzer, Abelian theorems for transformable Boehmians, Internat. J. Math. Math. Sci. 17 (1994), P. Mikusiński and M. D. Taylor, Toward a unified theory of generalized functions: convergence, Math. Nachr. 161 (1993), P. Mikusiński, The Fourier transform of tempered Boehmians, in Fourier analysis (Orono, ME, 1992), , Dekker, New York, P. Mikusiński, Tempered Boehmians and ultradistributions, Proc. Amer. Math. Soc. 123 (1995), P. Mikusiński and A. Zayed, An extension of the Radon transform, in Generalized functions and their applications (Varanasi, 1991), , Plenum, New York, (Fourier analysis, Dekker, New York, 1994)

11 165. V. Karunakaran and A. Vijayan, Laplace transforms of generalized functions, Houston J. Math. 19 (1993), D. Nemzer, The product of a function and a Boehmian, Colloq. Math. 66 (1993), P. Mikusiński and A. Zayed, The Radon transform of Boehmians, Proc. Amer. Math. Soc. 118 (1993), E. R. Dill and P. Mikusiński, Strong Boehmians, Proc. Amer. Math. Soc. 119 (1993), B. Stankovic, Asymptotics of regular convolution quotients, Internat. J. Math. Math. Sci. 15 (1992), D. Nemzer, The Laplace transform on a class of Boehmians, Bull. Austral. Math. Soc. 46 (1992), D. Nemzer, Periodic Boehmians. II, Bull. Austral. Math. Soc. 44 (1991), D. Nemzer, Periodic generalized functions, Rocky Mountain J. Math. 20 (1990), P. Mikusiński, Boehmians on open sets, Acta Math. Hungar. 55 (1990) J. Burzyk, A PaleyWiener type theorem for regular operators of bounded support, Studia Math. 93 (1989), D. Nemzer, Periodic Boehmians, Internat. J. Math. Math. Sci. 12 (1989), J. Burzyk, Nonharmonic solutions of the Laplace equation, in Generalized functions, convergence structures, and their applications (Dubrovnik, 1987), 3 11, Plenum, New York, P. Mikusiński, On delta sequences, Rend. Istit. Mat. Univ. Trieste 19 (1987), P. Mikusiński, On harmonic Boehmians, Proc. Amer. Math. Soc. 106 (1989), P. Mikusiński, A remark on regular operators, Rocky Mountain J. Math. 19 (1989, T. K. Boehme, Some comments on the Burzyk-Paley-Wiener theorem for regular operators, in Generalized functions, convergence structures, and their applications (Dubrovnik, 1987), , Plenum, New York, P. Mikusiński, Boehmians and generalized functions, Acta Math. Hungar. 51 (1988), P. Mikusiński, Fourier transform for integrable Boehmians, Rocky Mountain J. Math. 17 (1987), R. Gedeon, Hilbert Transform of Generalized Functions, Ph.D. Thesis, University of California, Santa Barbara, D. Nemzer, The Boehmians as an F-Space, Ph.D. Thesis, University of California, Santa Barbara, 1984.

12 185. J. Burzyk, On type II convergence in the Mikusiński operational calculus, Studia Math. 77 (1983), J. Burzyk, On convergence in the Mikusiński operational calculus, Studia Math. 75 (1983), P. Mikusiński, Convergence of Boehmians, Japan. J. Math. (N.S.) 9 (1983), P. Mikusiński, Convergence dans l ensemble des quotients de suites (French), [Convergence in the space of quotients of sequences], C. R. Acad. Sci. Paris Sr. I Math. 294 (1982), J. Mikusiński and P. Mikusiński, Quotients de suites et leurs applications dans l analyse fonctionnelle (French), [Quotients of sequences and their applications in functional analysis], C. R. Acad. Sci. Paris Sr. I Math. 293 (1981), T. K. Boehme, The support of Mikusiński operators, Trans. Amer. Math. Soc. 176 (1973),