n-Dimensional Eigenfunction Wavelet Transform

Abstract

Abstract

In this paper, Eigenfunction transform defined for single variable is extended for functions of n variables. Translation, convolution and dilation associated with n dimensional Eigenfunction transform are defined. Also, we define Eigenfunction wavelet for n variables. Eigenfunction wavelet transform (EWT) for n variables is introduced. Inversion formula for n dimensional EWT is also derived.

Keywords: Eigenfunction transform Eigenfunction wavelet transform, translation, convolution, dilation

Cite this Article

T.G. Thange, R.D. Swami, A.M.Alure. n-Dimensional Eigenfunction Wavelet Transform. Research & Reviews: Discrete Mathematical Structures. 2019; 6(1):
32–37p.