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Foundations of Time-Frequency Analysis

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Karlheinz Gröchenig

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Pages: 380 pages
Reading time: 14 hours

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The book systematically explores the foundations of time-frequency analysis, a modern branch of harmonic analysis that examines functions and operators through translations and modulations. It covers essential topics such as the short-time Fourier transform, Wigner distribution, Gabor frames, and pseudodifferential operators. While motivated by applications in signal analysis and quantum mechanics, the focus remains on the mathematical structures of time-frequency analysis, tracing its origins to early quantum mechanics developments in the 1930s.

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Foundations of Time-Frequency Analysis, Karlheinz Gröchenig

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Released: 2013
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Title: Foundations of Time-Frequency Analysis
Language: English
Authors: Karlheinz Gröchenig
Publisher: Birkhäuser Boston
Released: 2013
Format: Paperback
Pages: 380
ISBN13: 9781461265689
Tags: Business and Economics, Electrical engineering
Rating: 1 out of 5
Description: The book systematically explores the foundations of time-frequency analysis, a modern branch of harmonic analysis that examines functions and operators through translations and modulations. It covers essential topics such as the short-time Fourier transform, Wigner distribution, Gabor frames, and pseudodifferential operators. While motivated by applications in signal analysis and quantum mechanics, the focus remains on the mathematical structures of time-frequency analysis, tracing its origins to early quantum mechanics developments in the 1930s.