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Birkhauser Foundations of Time-Frequency Analysis Textbook

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Description

Foundations of Time-Frequency Analysis provides a systematic exposition of this modern branch of harmonic analysis. As a form of local Fourier analysis, this text treats time and frequency simultaneously and symmetrically. It is designed for those seeking to understand the mathematical structures of translations and modulations, also known as time-frequency shifts, used for the analysis of functions and operators. This book covers a wide range of topics, starting from the elementary theory of the short-time Fourier transform and moving through classical results. It serves as a comprehensive resource for understanding how time-frequency analysis functions within the broader field of mathematics and its various applications. Whether you are studying the foundations or looking for a structured approach to harmonic analysis, this volume offers the necessary theoretical framework.

Key Features

Systematic exposition of the foundations of time-frequency analysis for academic study.

Covers the elementary theory of the short-time Fourier transform and classical results.

Provides a detailed look at local Fourier analysis treating time and frequency symmetrically.

Explores the use of translations and modulations for the analysis of functions and operators.

Applicable to mathematics and various fields using time-frequency shifts.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
29 November 2013
Listed Since
18 April 2014

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