Bibliography Andreas Seeger

Bibliography Andreas Seeger Published papers. (1) Some Fourier multiplier criteria for anisotropic H p (R n )-spaces, Acta Sci. Math 48 (1985), 431 441. With Walter Trebels. (2) A note on absolute summability of Fourier integrals, Colloquia Mathematica Societatis Janos Bolyai 49, Alfred Haar Memorial Conference 1985. (3) On quasiradial Fourier multipliers and their maximal functions, J. reine ang. Math. 370 (1986), 61 73. (4) Necessary conditions for quasiradial Fourier multipliers, Tôhoku Math. J. 39 (1986), 249 257. (5) Some inequalities for singular convolution operators in L p -spaces, Trans. Amer. Math. Soc. 308 (1988), 259 272. (6) Conditionally convergent series of linear operators in L p spaces and L p estimates for pseudo-differential operators, Proc. London Math. Soc. 57 (1988), 481 510. (7) A limit case of the Hörmander multiplier theorem, Monatshefte für Mathematik, 105 (1988), 151 160. (8) A note on Triebel-Lizorkin spaces, Proc. Semester on Approximation theory and Function spaces (Warsaw 1986), Banach Center Publications 22, Warsaw, 1989. (9) On the boundedness of functions of (pseudo)-differential operators on compact manifolds, Duke Math. J. 59 (1989), 709 736. With Christopher D. Sogge. (10) Estimates near L 1 for Fourier multipliers and maximal functions, Archiv Math. 53 (1989), 188 193. (11) Bounds for eigenfunctions of differential operators, Indiana Univ. Math. J., 38 (1989), 669 682. With Christopher D. Sogge. (12) Remarks on singular convolution operators, Studia Math. 97 (1990), 91 114. (13) Regularity properties of Fourier integral operators, Annals of Math., 133 (1991), 231 251. With Christopher D. Sogge and Elias M. Stein. (14) Endpoint estimates for multiplier transformations on compact manifolds, Indiana Univ. Math. J., 40 (1991), 471 533. 1

2 (15) Wave front sets, local smoothing and Bourgain s circular maximal theorem, Annals of Math., 136 (1992), 207 218. With Gerd Mockenhaupt and Christopher D. Sogge. (16) H p and L p variants of multiparameter Calderón-Zygmund-theory, Trans. Amer. Math. Soc., 334 (1992), 719 747. (17) Local smoothing of Fourier integral operators and Carleson-Sjölin estimates, J. Amer. Math. Soc., 6 (1993), 65 131. With Gerd Mockenhaupt and Christopher D. Sogge. (18) Averages over convex hypersurfaces, Amer. J. Math., 115 (1993), 903 927. With Alexander Nagel and Stephen Wainger. (19) Degenerate Fourier integral operators in the plane, Duke Math. J. 71 (1993), 685 745. (20) Fourier integral operators with fold singularities, J. reine ang. Math., 455 (1994), 35 56. With Allan Greenleaf. (21) L 2 estimates for a class of singular oscillatory integrals, Mathematical Research Letters, 1, no.1 (1994), 65 73. (22) Homogeneous Fourier multipliers of Marcinkiewicz type, Arkiv för Matematik, 33 (1995), 45 80. (23) Inequalities for spherically symmetric solutions of the wave equation, Math. Z. 218 (1995), 417 426. With Detlef Müller. (24) Multiparameter Calderón-Zygmund theory and interpolation of analytic families, Acta Sci. Math. 60 (1995), 71 97. (25) Pointwise convergence of spherical means, Math. Proc. Cambr. Phil. Soc., 118 (1995) 115 124. With Stephen Wainger and James Wright. (26) A note on pointwise convergence of quasiradial Riesz means, Acta Sci. Math. 62 (1996), 187 199. With Y. Kim. (27) Singular integral operators with rough convolution kernels, J. Amer. Math. Soc., 9 (1996), 95-105. (28) Endpoint inequalities for Bochner-Riesz multipliers in the plane, Pacific Math. J., 174 (1996), 543 553. (29) Spherical maximal operators on radial functions, Mathematische Nachrichten, 187 (1997), 95-105. With S. Wainger and J. Wright.

(30) Fourier integral operators with cusp singularities, Amer. J. Math., 120 (1998), 1077-1119. With Allan Greenleaf. (31) Radon transforms and finite type conditions, Journal Amer. Math. Soc., 11, (1998), 869 897. (32) On oscillatory integrals with folding canonical relations, Studia Math., 132 (1999), 125 139 With Allan Greenleaf. (33) Classes of singular integrals along curves and surfaces, Trans. Amer. Soc., 351 (1999), no. 9, 3757 3769. With Stephen Wainger, James Wright and Sarah Ziesler. (34) On X-ray transforms for rigid line complexes and integrals over curves in R 4, Proc. Amer. Math. Soc., 127 (1999), no. 12, 3533-3545. With Allan Greenleaf and Stephen Wainger. (35) Classes of singular integral operators along variable lines, Journal of geometric analysis, 9, no. 4 (1999), 584 605. With Anthony Carbery, Stephen Wainger and James Wright. (36) On averaging operators associated with convex hypersurfaces of finite type, Journal d Analyse Mathématiques, 79 (1999), 159 187. With Alexander Iosevich and Eric T. Sawyer. (37) Weighted inequalities for Riesz means in the plane, Quarterly J. Math., 51 (2000), 155-169. (38) Estimates for generalized Radon transforms in three and four dimensions, in: Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis, Contemporary Mathematics, American Mathematical Society, 2000. With Allan Greenleaf and Stephen Wainger. (39) Riesz means associated with convex domains in the plane, Mathematische Zeitschrift, 236 (2001), 643 676. With Sarah Ziesler. (40) Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers, Advances in Mathematics, 161 (2001), 41 130. With Detlef Müller. (41) Sharp Lorentz space estimates for rough operators, Mathematische Annalen, 320 (2001), 381 415. With Terence Tao. (42) Two problems associated with convex finite type domains, Publicacions Mathemàtiques, 46 (2002), 153-177. With Alexander Iosevich and Eric Sawyer. 3

4 (43) Oscillatory integral operators with low order degeneracies, Duke Mathematical Journal, 112 (2002), 397 420. With Allan Greenleaf. (44) Two endpoint bounds for generalized Radon transforms in the plane, Revista Matematica Iberoamericana, 18 (2002), 231-247. With Jong-Guk Bak and Daniel Oberlin. (45) Oscillatory and Fourier integral operators with degenerate canonical relations, Proceedings of the 2000 El Escorial Conference, Publicacions Mathemàtiques, Special Issue (2002), 93-141. With Allan Greenleaf. (46) Mean square discrepancy bounds for the number of lattice points in large convex bodies, Journal d Analyse Mathematiques, 87 (2002), 209 230. With Alexander Iosevich and Eric Sawyer. (47) Bounds for singular fractional integrals and related Fourier integral operators, Journal of Functional Analysis, 199 (2003), 48 91. With Stephen Wainger. (48) Endpoint mapping properties of spherical maximal operators, Journal de l Institut Mathématiques de Jussieu, 2 (2003), 1 35. With Terence Tao and James Wright. (49) Pointwise convergence of lacunary spherical means. Harmonic Analysis at Mount Holyoke, Proceedings of an AMS-IMS-SIAM joint summer research conference, Contemporary Mathematics 320 (2003), 343 354. With Terence Tao and James Wright. (50) Maximal and singular Radon transforms under convexity assumptions, Revista Matemática Iberoamericana, 19 (2003), no. 3, 1019 1044. With Stephen Wainger. (51) Singular maximal functions and Radon transforms near L 1. American Journal of Mathematics, 126 (2004), 607 647. With Terence Tao and James Wright. (52) Singular spherical maximal functions on a class of step two nilpotent Lie groups. Israel Journal of Mathematics, 141 (2004), 315-340. With Detlef Müller. (53) A family of singular oscillatory integral operators and failure of weak amenability. Duke Mathematical Journal, 127, No.3 (2005), 429 486. With Michael Cowling, Brian Dorofaeff and James Wright. (54) Maximal operators associated with Fourier multipliers of Mikhlin- Hörmander type. Mathematische Zeitschrift, 249 (2005), 223-240. With Michael Christ, Loukas Grafakos and Petr Honzík.

(55) Singular and maximal integral operators associated to hypersurfaces: L p theory. Journal of Geometric Analysis, 15, no. 3 (2005), 477-498. With Stephen Wainger, James Wright and Sarah Ziesler. (56) L p Sobolev regularity of a restricted X-ray transform in R 3. Proceedings of the conference on Harmonic Analysis and its Applications, Osaka, November 2004, pp. 47 64, Yokohama Publishers (2006). With Malabika Pramanik. (57) On maximal functions for Mikhlin-Hörmander multipliers, Advances in Mathematics, 204 (2006), 363-378. With Loukas Grafakos and Petr Honzík. (58) Necessary conditions for vector-valued operator inequalities in harmonic analysis, Proceedings of the London Mathematical Society, 93, 2 (2006) 447-473. With Michael Christ. (59) L p -regularity of averages over curves and bounds for associated maximal operators, American Journal of Mathematics, 129, no.1 (2007), 61-103. With Malabika Pramanik. (60) Average decay estimates for Fourier transforms of measures supported on curves, Journal of Geometric Analysis, 17, no 1 (2007), 15 40. With Luca Brandolini, Giacomo Gigante, Allan Greenleaf, Alexander Iosevich and Giancarlo Travaglini. (61) Mean lattice point discrepancy bounds, II: Convex domains in the plane, Journal d Analyse Mathématique, 101, no.1 (2007). 25-63. With Alexander Iosevich and Eric T. Sawyer. (62) Strong variational and jump inequalities in harmonic analysis, to appear in Transactions of the American Mathematical Society, 360 (2008), 6711-6742. With Roger Jones and James Wright. (63) Characterizations of Hankel multipliers, Mathematische Annalen, 342 (2008), 31-68. With Gustavo Garrigós. (64) Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion, Journal of the Australian Mathematical Society, 85 (2008), 1-28. With Jong-Guk Bak and Daniel Oberlin. (65) The Fourier extension operator on large spheres and related oscillatory integrals, Proceedings of the London Mathematical Society. Proceedings of the London Mathematical Society, 98, no.1, (2009), 45-82. With Jonathan Bennett. 5

6 (66) Low regularity classes and entropy numbers. Archiv der Mathematik, 92, No. 2 (2009), 147-157. With Walter Trebels. (67) On plate decompositions of cone multipliers. Proceedings Edinburgh Math. Soc., 52 (2009), 1-21. With Gustavo Garrigós. (68) Restriction of Fourier transforms to curves and related oscillatory integrals, American Journal of Mathematics, 131, no.2 (2009), 277-311. With Jong-Guk Bak and Daniel Oberlin. (69) A note on maximal operators associated with Hankel multipliers, Revista de la Unión Matemática Argentina, 50, no.2 (2009), 137-148. With Gustavo Garrigós. (70) A mixed norm variant of Wolff s inequality for paraboloids, in Harmonic Analysis and Partial Differential Equations, Contemporary Mathematics, vol. GARCIACUER, Amer. Math. Soc., Providence, RI, 2010, pp. 179-197. With Gustavo Garrigós. (71) Endpoint maximal and smoothing estimates for Schrödinger equations. Journal für die reine und angewandte Mathematik, 640 (2010), 47-66. With Keith M. Rogers. (72) Radial Fourier multipliers in high dimensions. Acta Mathematica, 206, No 1 (2011), 55-92. With Yaryong Heo and Fedor Nazarov. (73) On radial and conical Fourier multipliers. Journal of Geometric Analysis, 21, issue 1 (2011), 96-117. With Yaryong Heo and Fedor Nazarov. (74) A Calderón-Zygmund estimate with applications to generalized Radon transforms. Studia Mathematica., 202 (1) (2011), 1-15. With Malabika Pramanik and Keith M. Rogers. (75) Extensions of the Stein-Tomas theorem. Mathematical Research Letters, 18 (2011), 767 781. With Jong-Guk Bak. (76) Problems on averages and lacunary maximal functions. Józef Marcinkiewicz Centenary Volume. Banach Center Publications, vol. 95 (2011), 235-250. With James Wright. (77) A variation norm Carleson theorem. Journal of the European Mathematical Society, 14 (2012), 421 464. With Richard Oberlin, Terence Tao, Christoph Thiele and James Wright.

(78) Improved bounds on Stein s square functions. Proceedings of the London Mathematical Society, 104 (2012), 1198-1234. With Sanghyuk Lee and Keith M. Rogers. (79) On space time estimates for the Schrödinger operator. Journal de Mathématiques Pures et Appliquées, 99 (2013), 62-85. With Sanghyuk Lee and Keith M. Rogers. (80) L q -bounds for a class of Fourier integral operators associated with wave propagation. Mathematische Nachrichten, 286 (2013), no. 7, 743 755. With Sanghyuk Lee. (81) Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure. Journal für die reine und angewandte Mathematik, 682 (2013), 167 206. With Jong-Guk Bak and Daniel Oberlin. (82) Square functions and maximal operators associated with radial Fourier multipliers. arxiv:1207.6582. Chapter 12 in: Advances in Analysis: The Legacy of Elias M. Stein. Princeton University Press, 2014. With Sanghyuk Lee and Keith M. Rogers. (83) A weak type bound for a singular integral. Revista Matemática Iberoamericana, 30 (2014), no. 3, 961-978. (84) On radial Fourier multipliers and almost everywhere convergence. Journal of the London Mathematical Society, (2) 91 (2015), no. 1, 105 126. With Sanghyuk Lee. (85) Sharp L p estimates for the wave equation on groups of Heisenberg type. Analysis and PDE, Vol. 8 (2015), No. 5, 1051-1100. With Detlef Müller. Papers accepted for publication. (86) Notes on radial and quasiradial Fourier multipliers. Nonlinear Analysis, Function Spaces and Applications (NAFSA 10). Proceedings of the International School held in Třešt, June 9-June 15, 2014. (87) Haar projection numbers and failure of unconditional convergence in Sobolev spaces. Mathematische Zeitschrift, published online. With Tino Ullrich. (88) Convolution powers of Salem measures with applications. Canadian Journal of Mathematics, published online. With Xianghong Chen. (89) Multilinear singular integral forms of Christ-Journé type. Memoirs of the American Mathematical Society, to appear. With Charles Smart and Brian Street. 7

8 (90) Lower bounds for Haar projections: Deterministic examples. Constructive Approximation, published online. With Tino Ullrich. Submitted manuscripts. (91) The Haar system as a Schauder basis in spaces of Hardy-Sobolev type, arxiv:1609.08225. With Gustavo Garrigós and Tino Ullrich. (92) On uniform boundedness of dyadic averaging operators in spaces of Hardy-Sobolev type. With Gustavo Garrigós and Tino Ullrich. (93) Singular integrals and a problem on mixing flows, arxiv:1612.03431. With Mahir Hadžić, Charles Smart and Brian Street. Thesis and unpublished papers. (1) Über Fouriermultiplikatoren und die ihnen zugeordneten Maximalfunktionen. Dissertation, TH Darmstadt, 1985. (2) Improvements in Wolff s inequalities for decompositions of cone multipliers. http://webs.um.es/gustavo.garrigos/papers/gss7bis.pdf. Manuscript 2008. With G. Garrigós and W. Schlag. (3) CRM notes on singular integrals and a problem on mixing flows. 40 pp., 2016. Papers in preparation. (1) A characterization of Sobolev spaces. Manuscript. With Julià Cufì, Artur Nicolau, and Joan Verdera. (2) L p -Sobolev regularity for averages over variable curves. With Malabika Pramanik. (3) Embeddings for spaces of Lorentz-Sobolev type. With Walter Trebels. (4) Strong summability for Riesz means at the critical index. With Jongchon Kim. (5) Endpoint Fourier restriction theorems for group orbits. With Simon Marshall.