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Fourier Analysis and Applications

Filtering, Numerical Computation, Wavelets

Claude Gasquet, Patrick Witomski (Autoren)

Buch | Hardcover

442 Seiten

1998 | 1999 ed.
Springer-Verlag New York Inc.
978-0-387-98485-8 (ISBN)

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The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.

Signals and Systems.- Periodic Signals.- The Discrete Fourier Transform and Numerical Computations.- The Lebesgue Integral.- Spaces.- Convolution and the Fourier Transform of Functions.- Analog Filters.- Distributions.- Convolution and the Fourier Transform of Distributions.- Filters and Distributions.- Sampling and Discrete Filters.- Current Trends: Time-Frequency Analysis.- References.

Reihe/Serie	Texts in Applied Mathematics ; 30
Übersetzer	R. Ryan
Zusatzinfo	1 Tables, black and white; XVIII, 442 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	156 x 234 mm
Gewicht	1820 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-387-98485-2 / 0387984852
ISBN-13	978-0-387-98485-8 / 9780387984858
Zustand	Neuware