నైరూప్య

Convergence of a Class of Non��?Orthogonal Wavelet��?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].