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Foundations of Time-Frequency Analysis

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Karlheinz Gröchenig

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Seitenzahl: 380 Seiten
Lesezeit: 14 Stunden

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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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Erscheinungsdatum: 2013
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Titel: Foundations of Time-Frequency Analysis
Sprache: Englisch
Autor*innen: Karlheinz Gröchenig
Verlag: Birkhäuser Boston
Erscheinungsdatum: 2013
Einband: Paperback
Seitenzahl: 380
ISBN13: 9781461265689
Schlagwörter: Wirtschaft, Elektrotechnik
Bewertung: 1 von 5 Sternen
Beschreibung: 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.