In this paper, we introduce the fractional wavelet transformations （FrWT） involving Han- kel-Clifford integral transformation （HCIIT） on the positive half line and studied some of its basic properties. Also we obt...In this paper, we introduce the fractional wavelet transformations （FrWT） involving Han- kel-Clifford integral transformation （HCIIT） on the positive half line and studied some of its basic properties. Also we obtain Parseval＇s relation and an inversion formula. Examples of fractional powers of Hankel-Clifford integral transformation （FrHClIT） and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.展开更多
基金Supported by Govt. of India,Ministry of Science&Technology,DST(Grant No.DST/INSPIRE FELLOWSHIP/2012/479)
文摘In this paper, we introduce the fractional wavelet transformations （FrWT） involving Han- kel-Clifford integral transformation （HCIIT） on the positive half line and studied some of its basic properties. Also we obtain Parseval＇s relation and an inversion formula. Examples of fractional powers of Hankel-Clifford integral transformation （FrHClIT） and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.
