Web1996,whichprofferedanadditionaldegreeoffreedominthe formofafractionalorder.TwowaysoffractionalHTwere … WebApr 1, 2003 · In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas …

[PDF] Some theorems on Fourier transforms and conjugate …

WebWe propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu … Webtransplantation [17], Riesz transforms [18], uncertainty [21], and so on. In the last few years there has been a great interest to the study of the spectrum of functions i.e. the support of the transform of these functions relative to certain integral transforms. The Paley-Wiener and Boas theorems give a characterization the pondles

Linear and radial canonical transforms of fractional order

WebIn this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of … WebMay 25, 2024 · Thus, if v is an eigenvector of A, then v is a constant times the ground state u 0 of the discrete Hamiltonian, as given by (also an eigenvector of the discrete fractional Fourier transform \({\mathcal F}_{\theta }\)).Therefore, we have proved the following. Theorem 5.3. The only eigenvalue of the N × N discrete annihilation operator A given in is … WebIn this paper, we introduce fractional Boas transforms and discuss some of their properties. ... Hilbert transform has similar properties to those of the ordinary Hilbert transform, but it … the pond london