Journal of Advances in Mathematics and Computer Science

Infinite Matrix Operator, Spline Wavelet Coefficient and Frames

N. A. Sheikh

Department of Mathematics, National Institute of Technology, Srinagar Kashmir 190006, India.

Devendra Kumar *

Department of Mathematics, M.M.H. College, Model Town, Ghaziabad-201001, U.P., India.

Mobin Ahmad Syed

Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia.

*Author to whom correspondence should be addressed.

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Abstract

In this paper we study the action of A on f  ( the spline of order n with nodes az+) and on its wavelet coefficients, where A = is a double infinite matrix operator in a Hilbert space l ²(z+). Also, we make an attempt to find frame conditions for A-transform of f.

Keywords: Riesz system, splines, matrix operator, frames, wavelet coefficients and multiresolution analysis

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