MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2(R)

R. KUMAR1, ASHOK K. SAH

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Abstract

Cordoba and Feerman [4] introduced wave packet systems by applying certain collections of dilations, modulations and translations to the Gaussian function in the study of some classes of singular integral operators. In this paper, we introduce the concept of matrix transform M = (p;q;r;j;k;m) and with the help of matrix transform we study the action of M on f 2 L2(R) and on its wave packet coecients. Further, we also obtain the tight frame condition for matrix transform of f 2 L2(R) whose wave packet series expansion is known.

Keywords

frames, matrix transform, wave packet system.