Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions is popular PDF and ePub book, written by Stéphane Jaffard in 1996, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions can be Read Online from any device for your convenience.
Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions Book PDF Summary
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.
Detail Book of Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions PDF
- Author : Stéphane Jaffard
- Release : 19 September 1996
- Publisher : American Mathematical Soc.
- ISBN : 9780821804759
- Genre : Mathematics
- Total Page : 127 pages
- Language : English
- PDF File Size : 20,5 Mb
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