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Fourier series, fourier transforms, and function spaces : a second course in analysis / Tim Hsu

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: AMS/MAA textbooks ; vol. 59Publisher: Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2020]Description: 1 Online-Ressource (1 online resource)ISBN:
  • 1470455196
  • 9781470455194
Subject(s): Additional physical formats: 9781470451455 | 147045145X | 9781470451455 | 147045145X | Erscheint auch als: Fourier series, fourier transforms, and function spaces. Druck-Ausgabe Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, 2020. xiv, 354 SeitenMSC: MSC: 42A38 | 34-01 | 35K05 | 35L05 | 35-01 | 47-01 | 46-01 | 26A42 | 26-01 | 42A10 | 42-01 | 42B35 | 42B37 | 42A24 | 42A20 | 42A16RVK: RVK: SK 450LOC classification:
  • QA403.5
Online resources: Summary: Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rSummary: 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?PPN: PPN: 1755159641Package identifier: Produktsigel: BSZ-4-NLEBK-KAUB | ZDB-4-NLEBK
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