STM Journals Peer-reviewed research from Consortium e-Learning Network

Research & Reviews: Discrete Mathematical Structures

n-Dimensional Eigenfunction Wavelet Transform

  1. T. G. Thange
  2. R. D. Swami
  3. A. M. Alure

Abstract

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