The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces

摘要

We are concerned with the construction and study of composition of wavelet transform (CWT) associated with generalized fractional Hankel-type transform. Parseval's identity is obtained for the CWT. Plancherel's formula is also proposed. This paper goes further to describe the boundedness property of the CWT on Zemanian type and Sobolev type spaces. Some particular cases are derived.