Fourier Analysis and Its Applications

DOI10.1007/b97452zbMath1032.42001OpenAlexW631857329MaRDI QIDQ4424867

Anders Vretblad

Publication date: 7 September 2003

Published in: Graduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b97452

zbMATH Keywords

Fourier transformLaplace transformorthogonal polynomialsdistributionsapplicationsFourier seriespartial differential equationsseparation of variablesZ transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier series and coefficients in several variables (42B05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)

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