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pro vyhledávání: '"Przemysław Ohrysko"'
Autor:
Przemysław Ohrysko
Publikováno v:
Colloquium Mathematicum. 153:21-26
In this short note we give a proof of the refined version of the uniform invariant approximation property for compact (non-commutative) groups following the Bourgain's approach.
Publikováno v:
St. Petersburg Mathematical Journal. 28:259-271
In this paper we investigate the problems related to measures with a natural spectrum (equal to the closure of the set of the values of the Fourier-Stieltjes transform). Since it is known that the set of all such measures does not have a Banach algeb
A measure on a locally compact Abelian group is said to have a natural spectrum if its spectrum is equal to the closure of the range of the Fourier-Stieltjes transform. In this paper we continue the study of spectrally reasonable measures (measures p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::532b85d1b0bab36d7c8e98118785144c
Publikováno v:
Ark. Mat. 54, no. 2 (2016), 525-535
We prove that there exists uncountably many pairwise disjoint open subsets of the Gelfand space of the measure algebra on any locally compact non-discrete abelian group which shows that this space is not separable (in fact, we prove this assertion fo
Autor:
Mateusz Wasilewski, Przemysław Ohrysko
Publikováno v:
Journal of Functional Analysis. 278:108399
In this paper we study the inversion problem in measure and Fourier-Stieltjes algebras from qualitative and quantitative point of view extending the results obtained by N. Nikolski.
Comment: 22 pages, to appear in Journal of Functional Analysis
Comment: 22 pages, to appear in Journal of Functional Analysis
Autor:
Przemysław Ohrysko
Publikováno v:
Colloquium Mathematicum. 140:1-4
In this short note we give an elementary proof for the case of the circle group of the theorem of O. Hatori and E. Sato which states that every measure on the compact abelian group $G$ can be decomposed into a sum of two measures with natural spectru
Autor:
Przemysław Ohrysko, Mateusz Wasilewski
© 2018 Elsevier Inc. In this paper we start studying spectral properties of the Fourier–Stieltjes algebras, largely following Zafran's work on the algebra of measures on a locally compact group. We show that for a large class of discrete groups th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1ed269cde9e5cbfb7655bad84d38ced
http://arxiv.org/abs/1705.05457
http://arxiv.org/abs/1705.05457
We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group taking values of its Fourier coefficients from this set has natural spectrum. For measures with Fourier coefficients
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fd6e60a670e6bf6ea573848d915fcbc
http://arxiv.org/abs/1305.3324
http://arxiv.org/abs/1305.3324