6 citations · 22 across the 13 of their papers we have counts for
16 papers
The Pompeiu problem and spherical spectral analysis
Michael J. Puls
Let be a compact subgroup of a locally compact group . We investigate a Pompeiu type problem for homogeneous spaces . Suppose is a compact subset of . Using re…
The two-sided Pompeiu problem for discrete groups
Peter A. Linnell, Michael J. Puls
We consider a two-sided Pompeiu type problem for a discrete group . We give necessary and sufficient conditions for a finite set of to have the -Pompeiu…
Sets of -restriction and -spectral synthesis
Michael J. Puls
In this paper we investigate the restriction problem. More precisely, we give sufficient conditions for the failure of a set in to have the -restriction prope…
Linear Dependency of Translations and Square Integrable Representations
Peter A. Linnell, Michael J. Puls, Ahmed Roman
Let be a locally compact group. We examine the problem of determining when nonzero functions in have linearly independent translations. In particular, we establish som…
The -Royden and -harmonic boundaries for metric measure spaces
Marcello Lucia, Michael Puls
Let be a real number greater than one and let be a locally compact, noncompact metric measure space that satisfies certain conditions. The -Royden and -harmonic bound…
The Pompeiu Problem and Discrete Groups
Michael J. Puls
We formulate a version of the Pompeiu problem in the discrete group setting. Necessary and sufficient conditions are given for a finite collection of finite subsets of a discrete a…