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A general hilbert space approach to wavelets and its application in geopotential determination

A general hilbert space approach to wavelets and its application in geopotential determination

Abstract A general approach to wavelets is presented within a framework of a separable functional Hilbert space H. Basic tool is the construction of H-product kernels by use of Fourier analysis with respect to an orthonormal basis in H. Scaling functions and wavelet are defined in terms of H-product kernels. …