Zobrazeno 1 - 10
of 307
pro vyhledávání: '"Ólafsson G"'
In this article we study the connection of fractional Brownian motion, representation theory and reflection positivity in quantum physics. We introduce and study reflection positivity for affine isometric actions of a Lie group on a Hilbert space E a
Externí odkaz:
http://arxiv.org/abs/1805.02593
On the unit ball B^n we consider the weighted Bergman spaces H_\lambda and their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of \widetilde{\SU(n,1)} has a multiplicity-free restriction for t
Externí odkaz:
http://arxiv.org/abs/1805.00141
We study functions f : (a,b) ---> R on open intervals in R with respect to various kinds of positive and negative definiteness conditions. We say that f is positive definite if the kernel f((x + y)/2) is positive definite. We call f negative definite
Externí odkaz:
http://arxiv.org/abs/1608.04010
In this note we continue our investigations of the representation theoretic aspects of reflection positivity, also called Osterwalder--Schrader positivity. We explain how this concept relates to affine isometric actions on real Hilbert spaces and how
Externí odkaz:
http://arxiv.org/abs/1601.06668
Autor:
Ho, Vivian M., Olafsson, G.
We study the action of hypergeometric shift operators on the Heckman-Opdam hypergeometric functions associated with the $BC_n$ type root system and some negative multiplicities. Those hypergeometric functions are connected to the $\chi$-spherical fun
Externí odkaz:
http://arxiv.org/abs/1512.00106
Autor:
Olafsson, G., Stanton, R. J.
This article is a contribution to a Festschrift for S. Helgason. After a biographical sketch, we survey some of his research on several topics in geometric and harmonic analysis during his long and influential career. While not an exhaustive presenta
Externí odkaz:
http://arxiv.org/abs/1210.6071
This is a brief survey of recent results by the authors devoted to one of the most important operators of integral geometry. Basic facts about the analytic family of cosine transforms on the unit sphere and the corresponding Funk transform are extend
Externí odkaz:
http://arxiv.org/abs/1209.1822
Autor:
Christensen, J. G., Ólafsson, G.
In this paper we present an abstract framework for construction of Banach spaces of distributions from group representations. This generalizes the theory of coorbit spaces initiated by H.G. Feichtinger and K. Gr\"ochenig in the 1980's. Spaces that ca
Externí odkaz:
http://arxiv.org/abs/0910.0569
Autor:
Christensen, J. G., Ólafsson, G.
In this paper we summarize and give examples of a generalization of the coorbit space theory initiated in the 1980's by H.G. Feichtinger and K.H. Gr\"ochenig. Coorbit theory has been a powerful tool in characterizing Banach spaces of distributions wi
Externí odkaz:
http://arxiv.org/abs/0711.4120
Autor:
Dobrescu, M., Olafsson, G.
In this short note we discuss the interplay between finite Coxeter groups and construction of wavelet sets, generalized multiresolution analysis and sampling.
Comment: Will appear in Contemporary Mathematics
Comment: Will appear in Contemporary Mathematics
Externí odkaz:
http://arxiv.org/abs/0710.3514