Fourier-Laplace transforms and the Bergman spaces

Berezin Transforms on Pluriharmonic Bergman Spaces

We show that, perhaps surprisingly, in several aspects the behaviour of the reproducing kernels, of Toeplitz operators and of the Berezin transform on some weighted pluriharmonic Bergman spaces is the same as in the holomorphic case.

Pricing Asian options via Fourier and Laplace transforms

A note on the comparison between Laplace and Sumudu transforms

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

The Abel, Fourier and Radon transforms on symmetric spaces

In this paper we prove some recent results on the three transforms in the title and discuss their relationships to older results. The spaces we deal with are symmetric spaces X = G/K of the noncompact type, G being a connected noncompact semisimple Lie group with finite center and K a maximal compact subgroup. For the two natural Radon transforms on X we prove a new inversion formula and a shar...