Abstract
We consider on real line R a space of signals which are p-power (1 ≤ p ≤∞ ) Lebesgue integrable with weight w(x) = (1 - x)α (1 + x)β , ( α, β > -1) on [-1, 1] R. A subspace χabNvof Xabvis recognized by restricting the types of signals, so that the signals are represented by Jacobi Polynomials. Then by the derivability of Jacobi polynomials, we reach to the conclusion that the signals of the subspace XαβNv can be represented by the Coifman wavelets. The method involves the N rlund summation of Fourier-Jacobi expansions and the properties of Jacobi polynomials in [--1, 1] R
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