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Convergence of a Class of Nonâ??Orthogonal Waveletâ??Expansion in

Jyoti Agrawal

It is known that a function in ï?¨ ï?© 2 L R can be represented by its wavelet expansion with convergence in ï?¨ ï?© 2 L R –norm. But the case is different in Lï?¢ï?¨Rï?© norm. In this paper we shall discuss the convergence of non–orthogonal wavelet expansions in the ï?¨ ï?© p L R norm, 1ï?£ p ï?£ï?¥. Moreover I have extended the results of Ahmed I Zayed [1] using the approximate identity. Our method and approach are different from those of Ahmed I. Zayed [1].

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