11 citations · 30 across the 19 of their papers we have counts for
7 papers · 1 filter
Multiscaled wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices
G. Olafsson, E. Ournycheva, B. Rubin
Let be the space of real matrices which can be identified with the Euclidean space . We introduce continuous wavelet transforms on with a multivalued sc…
Groups, Wavelets, and Wavelet Sets
Gestur Olafsson, Darrin Speegle
Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. This article gives an overview over some well known results a…
A Paley-Wiener theorem for the -spherical transform: the even multiplicity case
Gestur Olafsson, Angela Pasquale
The -spherical functions generalize the spherical functions on Riemannian symmetric spaces and the spherical functions on non-compactly causal symmetric spaces. In this article…
Continuous action of Lie groups on and Frames
Gestur Olafsson
Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. In this article we discuss the construction of frames for $L^…
Fock spaces corresponding to positive definite linear transformations
R. Fabec, G. Olafsson, A. Sengupta
Suppose is a positive real linear transformation on a finite dimensional complex inner product space . The reproducing kernel for the Fock space of square integrable holomor…
The Continuous Wavelet Transform and Symmetric Spaces
R. Fabec, G. Olafsson
The continuous wavelet transform has become a widely used tool in applied science during the last decade. In this article we discuss some generalizations coming from actions of clo…