Indian Journal of Industrial and Applied Mathematics
  • Year: 2013
  • Volume: 4
  • Issue: 1

Construction of Vector-valued Nonuniform wavelets and wavelet packets

  • Author:
  • P. Manclianda, Meenakshi, A.H. Siddiqi
  • Total Page Count: 21
  • Published Online: Jun 1, 2013
  • Page Number: 105 to 125

*Guru Nanak Dev University, Amritsar, India

**Lajpat Rai D.A.V. College, Jagraon, India

Abstract

First and third authors of this article learnt wavelet methods from Prof. Helmut Neunzert who recieved CICIAM Pioneer prize for his pioneering work in industrial mathematics in 1999 at Edinburg jointly with Prof. Ronald R. Coifman. The authors have published research papers and books related to wavelet theory and applications [7], [12]-[27]. In this paper we present our research work on vector-valued nonuniform wavelets and wavelet packets.

Keywords

Nonuniform multircsolution analysis, vector-valued multircsolution analysis, vector-valued wavelets, wavelet packets, 42A38, 42A55, 42C15, 42C40, 43A70, Dedicated to Prof. Dr. Helmut Neunzert