Fourier series, fourier transforms, and function spaces a second course in analysis
Overture -- Real and complex numbers -- Complex-valued calculus -- Series of functions -- The idea of a function space -- Fourier series -- Hilbert spaces -- Convergence of fourier series -- PDE's and diagonalization -- Operators on Hilbert spaces -- Eigenbases and differential equations -- The...
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Format: | UnknownFormat |
Sprache: | eng |
Veröffentlicht: |
Providence, Rhode Island
MAA Press, an imprint of the American Mathematical Society
2020
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Schriftenreihe: | AMS/MAA textbooks
59 |
Schlagworte: | |
Online Zugang: | Inhaltsverzeichnis |
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Zusammenfassung: | Overture -- Real and complex numbers -- Complex-valued calculus -- Series of functions -- The idea of a function space -- Fourier series -- Hilbert spaces -- Convergence of fourier series -- PDE's and diagonalization -- Operators on Hilbert spaces -- Eigenbases and differential equations -- The fourier transform -- Applications of the fourier transform -- What's next? |
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Beschreibung: | Includes bibliographical references and index |
Beschreibung: | xiv, 354 Seiten Illustrationen |
ISBN: | 9781470451455 9781470455194 |