Wavelets and Singular Integrals on Curves and Surfaces (eBook, PDF)
Guy David
eBook, PDF

Wavelets and Singular Integrals on Curves and Surfaces (eBook, PDF)

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Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy...

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