Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions

Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions
Author :
Publisher : American Mathematical Soc.
Total Pages : 127
Release :
ISBN-10 : 9780821804759
ISBN-13 : 0821804758
Rating : 4/5 (758 Downloads)

Book Synopsis Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions by : Stéphane Jaffard

Download or read book Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions written by Stéphane Jaffard and published by American Mathematical Soc.. This book was released on 1996 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate several topics related to the local behavior of functions: pointwise Hölder regularity, local scaling invariance and very oscillatory "chirp-like" behaviors. Our main tool is to relate these notions to two-microlocal conditions which are defined either on the Littlewood-Paley decomposition or on the wavelet transform. We give characterizations and the main properties of these two-microlocal spaces and we give several applications, such as bounds on the dimension of the set of Hölder singularities of a function, Sobolev regularity of trace functions, and chirp expansions of specific functions.


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