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Fourier analysis and stochastic processes
Fourier analysis and stochastic processes

Author: Pierre Br�emaud. ; Pierre Brémaud
Publisher: Cham : Springer, 2014.
Series: Universitext
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes). It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals structured by point  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Pierre Br�emaud. ; Pierre Brémaud
ISBN: 9783319095905 3319095900 3319095897 9783319095899
OCLC Number: 891931722
Notes: Includes index.
Description: 1 online resource (xiii, 385 pages) : illustrations.
Contents: Fourier analysis of functions --
Fourier theory of probability distributions --
Fourier analysis of stochastic processes --
Fourier analysis of time series --
Power spectra of point processes.
Series Title: Universitext
Responsibility: Pierre Brémaud.

Abstract:

This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in  Read more...

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"The main goal of this book is to define and study the Fourier transform of stochastic processes. ... the author provides a modern unity of Fourier analysis and stochastic processes, presented Read more...

 
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