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1. THE n-DIMENSIONAL CONTINUOUS WAVELET TRANSFORMATION ON GELFAND AND SHILOV TYPE SPACES.

Author

Upadhyay, S. K., Yadav, R. N., and Debnath, Lokenath

Subjects
*GELFAND-Naimark theorem, *REAL numbers, *COMPLEX numbers, *SOBOLEV spaces, *MATHEMATICAL ability, *MATHEMATICS education
Abstract

In this paper the wavelet transformation on Gelfand and Shilov spaces of type WM(◻n), WΩ(Δn) and WΩM (Δn) is studied. it is shown that Wψϕ : WM (◻n ) → WM (◻n × ◻n+), Wψϕ WΩ (Δn) → WΩ(Δn×◻n+) and Wψϕ : WΩM (Δn) → WΩM (Δn × ◻n+) is linear and continuous where ◻n and Δn are n-dimensional real numbers and complex numbers. A boundedness result in a generalized Sobolev space is derived. [ABSTRACT FROM AUTHOR]

Published
2009

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