Books on Wavelets in Mathematics


Wavelets and Operators, by Y. Meyer. Prof. Meyer writes his findings mostly as books instead of articles, and `Wavelets and operators' is the wonderful account of wavelet theory as he crafted it in the late eighties. The book used to be on all wavelet must-read lists in the nineties. Make no mistake: this is undigested material written for mathematicians, but learning even parts of Meyer's mathematics is a very rewarding experience.


Wavelets : Calderon-Zygmund and Multilinear Operators , by Y. Meyer and R. Coifman. Sequence to `Wavelet and operators'. Contains theory on singular integral operators, including the wavelet proof of the T(1) theorem and extensions to several other problems. For mathematicians.


A Mathematical Introduction to Wavelets, by P. Wojtaszczyk.


Wavelets through a Looking Glass, by O. Bratteli and P. Jorgensen.



Appeared in August 2006: P. Jorgensen and B. Treadway's Analysis and Probability : Wavelets, Signals, Fractals.



Appeared in March 2006: Wave Packet Analysis by C. Thiele. Wavelets and other important wave packet ideas, from the point of view of pure harmonic analysis. The main application is to proving bounds on multilinear operators (a generalization of singular integral operators.) This book is intended for mathematicians.


A first course on wavelets, by E. Hernandez and G. Weiss.


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