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Analiza. Del 12, Transferenca Hilbertove transformacijeZaložnik, AlešPodani sta dve uporabi metode transference operatorjev na primeru Hilbertove transformacije. Diskretna Hilbertova transformacija je uporabljena za tvorbo enakomerno omejene predstavitve ▫$T$▫, ... delujoče na ▫$L^p(\mathbb R)$▫, ▫$l<p<\infty$▫, ki nato omogoči z uporabo transference na nov in zelo neposreden način dokazati izrek M. A. Jodeita o Fourierovih množiteljih. Pri drugi uporabi gre za Hilbertovo transformacijo prenešeno na Bohrovo kompaktifikacijo realne osi, kjer je uporabljena pri opredelitvi Hardyevih prostorov na velikem disku.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1991Language - slovenian, englishCOBISS.SI-ID - 8628825
Author
Založnik, Aleš
Topics
matematika |
kompleksna analiza |
funkcionalna analiza |
posplošena analitičnost |
Hardyjevi prostori |
transferenca operatorjev |
harmonična analiza |
Hilbertova transformacija |
analitične funkcije |
Fourierovi množitelji |
mathematics |
complex analysis |
functional analysis |
generalized analyticity |
Hardy spaces |
harmonic analysis |
transference of operators |
Hilbert transform |
multipliers
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Založnik, Aleš | 07081 |
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