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6 Wek Fourier Slt t Sit t Then T Stir e G E sit < 9 > YC t R 2 derivtive TE 5 ClR 2kt ZKTG ktkg GESCR 3 R Generlizing Trnsm integrti by prts ppkghsd 2%9 TES hr C1 Mpni Zkgc d Fy T R generlizing prsevl Fg tg e y > S i > njegds yesir i e e s Fcs t 4eitsds eittsds ZTL slt Z R integrbk tpbetdscdt Let sb bbeitsds Hr bbeih limit bnd superpositi Then SBEFS in Stir However th Not ts undersod s dtributi limit sds pt < b r zttbbpetcttdtds bb ts ds trs ds 1 s re tsds o lo < g > Now we cn rigorously deine R using S lbjsrnl Sb s njs z d ly + Sb s dhydt hbjsr RFCQT SKS dt < R Ss > Rts

7 so Pr Slrt SH HilbertTnsm Csider n operr EHR r ds l NOT necessrily integrbk t 0 integrl principl vlue i e Tt Th n ds ts NOT hrd show TLHsEsHds To understnd T we csider F 7 T F TF ljslfcftd_leseicszzecssdslngicz5tesinscs7dseej1sinktmeektk7eoddc@cs1eoio 85 s > + i leked Sk +tes [ s o by ei Sg 01 d df itsel eeio Jordn s lemm so tns [ singed se ei d go Tesgnls i it in

8 FE F [ cs sgncs ds Det H T [[ L H o +1 ds FF sgnf o Hcs gn o c s So k s H WCs

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