Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Puls, Michael J."'
Autor:
Linnell, Peter A., Puls, Michael J.
We consider a two-sided Pompeiu type problem for a discrete group $G$. We give necessary and sufficient conditions for a finite set $K$ of $G$ to have the $\mathcal{F}(G)$-Pompeiu property. Using group von Neumann algebra techniques, we give necessar
Externí odkaz:
http://arxiv.org/abs/2009.13651
Autor:
Puls, Michael J.
In this paper we investigate the restriction problem. More precisely, we give sufficient conditions for the failure of a set $E$ in $\mathbb{R}^n$ to have the $p$-restriction property. We also extend the concept of spectral synthesis to $L^p(\mathbb{
Externí odkaz:
http://arxiv.org/abs/1904.02282
Publikováno v:
Banach J. Math. Anal. 11, no. 4 (2017), 945-962
Let $G$ be a locally compact group. We examine the problem of determining when nonzero functions in $L^2(G)$ have linearly independent translations. In particular, we establish some results for the case when $G$ has an irreducible, square integrable,
Externí odkaz:
http://arxiv.org/abs/1509.00493
Autor:
Puls, Michael J.
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 abelian group, whose torsion free rank is less than the cardinal of the
Externí odkaz:
http://arxiv.org/abs/1202.2398
Let G be an infinite discrete group of type FP-infinity and let p>1 be a real number. We prove that the l^p-homology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the p-harmonic boundary of a fi
Externí odkaz:
http://arxiv.org/abs/1005.1914
Autor:
Puls, Michael J.
Let $p$ be a real number greater number greater than one. Suppose that a graph $G$ of bounded degree is quasi-isometric with a Riemannian manifold $M$ with certain properties. Under these conditions we will show that the $p$-harmonic boundary of $G$
Externí odkaz:
http://arxiv.org/abs/1002.1061
Autor:
Puls Michael J.
Publikováno v:
Demonstratio Mathematica, Vol 52, Iss 1, Pp 397-403 (2019)
In this paper we investigate the restriction problem. More precisely, we give sufficient conditions for the failure of a set E in ℝn to have the p-restriction property. We also extend the concept of spectral synthesis to Lp(ℝn) for sets of p-rest
Externí odkaz:
https://doaj.org/article/0c58eaef95f144dea3488e625b3250e3
Autor:
Puls, Michael J.
Let $p$ be a real number greater than one and let $G$ be a connected graph of bounded degree. In this paper we introduce the $p$-harmonic boundary of $G$. We use this boundary to characterize the graphs $G$ for which the constant functions are the on
Externí odkaz:
http://arxiv.org/abs/0806.3073
Autor:
Puls, Michael J.
Let $p$ be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first $L^p$-cohomology space of some groups that have one end. We also make a connection between the first $L^p$-cohomology space and the Floyd bo
Externí odkaz:
http://arxiv.org/abs/math/0509171
Autor:
Puls, Michael J.
Let $G$ be a finitely generated infinite group and let $p > 1$. In this paper we make a connection between the first $L^p$-cohomology space of $G$ and $p$-harmonic functions on $G$. We also describe the elements in the first $L^p$-cohomology space of
Externí odkaz:
http://arxiv.org/abs/math/0509170