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Title:
Introduction to fourier series
Personal Author:
Series:
Monographs and textbooks in pure and applied mathematics ; 199
Publication Information:
New York : Marcel Dekker, 1996
ISBN:
9780824796105
Subject Term:

Available:*

Library
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Call Number
Material Type
Item Category 1
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30000010062194 QA404 L37 1996 Open Access Book Book
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On Order

Summary

Summary

This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.


Table of Contents

Fourier coefficients
approximate identities
approximate identities
approximate identities and pointwise convergence
square integrable functions
convergence of Fourier series in norm
local convergence
characterization of Fourier coefficients
Hilbert transform
approximate identities. Triangular schemes
elements of best approximation
poisson integrals and hardy spaces
conjugation of approximate identities
Szego-Kolmogoriv-theorem
absolute convergence of Fourier series
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