Analytic representation of the distributional finite Hankel transform

Properties of the Distributional Finite Fourier Transform

The analytic functions in tubes which obtain the distributional finite Fourier transform as boundary value are shown to have a strong boundedness property and to be recoverable as a Fourier-Laplace transform, a distributional finite Fourier transform, and as a Cauchy integral of a distribution associated with the boundary value.

On a generalized finite Hankel transform

In the present work we introduce a finite integral transform involving combination of Bessel functions as kernel under prescribed conditions. The corresponding inversion formula and some properties of this transform have also been given. Three problems of heat conduction in an infinite, a semi-infinite and a finite circular cylinder bounded by given surfaces with radiation-type boundary value c...

The Hankel transform

The finite ridgelet transform for image representation

The ridgelet transform was introduced as a sparse expansion for functions on continuous spaces that are smooth away from discontinuities along lines. We propose an orthonormal version of the ridgelet transform for discrete and finite-size images. Our construction uses the finite Radon transform (FRAT) as a building block. To overcome the periodization effect of a finite transform, we introduce ...

Transformations Preserving the Hankel Transform

Transformations Preserving the Hankel Transform Christopher French Department of Mathematics and Statistics Grinnell College Grinnell, IA 50112 USA [email protected] Abstract We classify all polynomial transformations of integer sequences which preserve the Hankel transform, thus generalizing examples due to Layman and Spivey & Steil. We also show that such transformations form a group ...