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Povabilo v harmonično analizoHladnik, MilanV prvem poglavju so navedeni osnovni rezultati o sumabilnosti in konvergenci Fourierovih vrst, Fejérjev, Dinijev in Dirichletov izrek. Drugo prinaša Riemannovo in Cantorjevo teorijo enoličnega ... razvoja funkcije v trigonometrično vrsto. Osrednje mesto zavzema Cantorjev izrek o enoličnosti, nakazana je povezava s teorijo algebraičnih števil. Tretje poglavje obravnava klasično Fourierovo analizo na realni osi, zadnje pa začetne pojme harmonične analize na komutativnih grupah.Type of material - textbookPublication and manufacture - Ljubljana : Društvo matematikov, fizikov in astronomov, 1992Language - slovenianCOBISS.SI-ID - 29483520
Author
Hladnik, Milan
Topics
matematika |
analiza |
Fourierove vrste |
trigonometrične vrste |
Cantorjev izrek |
problem enoličnosti |
Fourierovi integrali |
inverzna formula |
Plancherelov izrek |
lokalno kompaktne Abelove grupe |
invariantni integral |
Fourierova transformacija |
učbeniki za visoke šole |
mathematics |
analysis |
Fourier series |
trigonometric series |
Cantor's theorem |
uniqueness problem |
Fourier integrals |
inverse formula |
Plancherel's theorem |
Fourier transform |
localy compact Abel groups |
invariant integral
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Hladnik, Milan | 03429 |
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