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Foundations of Time-Frequency Analysis

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Karlheinz Gröchenig

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Počet stran: 380 stránek
Čas čtení: 14 hodin

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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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Rok vydání: 2013
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Titul: Foundations of Time-Frequency Analysis
Jazyk: anglicky
Autoři: Karlheinz Gröchenig
Vydavatel: Birkhäuser Boston
Rok vydání: 2013
Vazba: měkká
Počet stran: 380
ISBN13: 9781461265689
Štítky: Podnikání a ekonomie, Elektrotechnika
Hodnocení: 1 z 5
Anotace: 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.