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pro vyhledávání: '"Pesenson, Isaac Z."'
Autor:
Pesenson, Isaac Z.
In the setting of the multidimensional Mellin analysis we introduce moduli of continuity and use them to define Besov-Mellin spaces. We prove that Besov-Mellin spaces are the interpolation spaces (in the sense of J.Peetre) between two Sobolev-Mellin
Externí odkaz:
http://arxiv.org/abs/2207.07485
Autor:
Pesenson, Isaac Z.
The goal of the paper is to consider Bernstein-Mellin subspaces in the Lebesgue-Mellin spaces and establishing for functions in these subspaces new sampling theorems and Riesz-Boas high-order interpolation formulas.
Externí odkaz:
http://arxiv.org/abs/2111.14029
Autor:
Pesenson, Isaac Z.
Publikováno v:
Analysis Math. 2022
We consider a Hilbert space ${\bf H}$ equipped with a set of strongly continuous bounded semigroups satisfying certain conditions. The conditions allow to define a family of moduli of continuity $\Omega^{r}(s,f),\>r\in \mathbb{N}, s>0,$ of vectors in
Externí odkaz:
http://arxiv.org/abs/2005.10074
Autor:
Pesenson, Isaac Z.
The well known Weyl's Law (Weyl's asymptotic formula) gives an approximation to the number $\mathcal{N}_{\omega}$ of eigenvalues (counted with multiplicities) on a large interval $[0,\>\omega]$ of the Laplace-Beltrami operator on a compact Riemannian
Externí odkaz:
http://arxiv.org/abs/1912.11093
Autor:
Pesenson, Isaac Z.
For Paley-Wiener functions on weighted combinatorial finite or infinite graphs we develop a weighted sampling theory in which samples are defined as inner products with weight functions (measuring devices). Three reconstruction methods are suggested.
Externí odkaz:
http://arxiv.org/abs/1905.02603
Autor:
Pesenson, Isaac Z.
In the framework of a strictly local regular Dirichlet space ${\bf X}$ we introduce the subspaces $PW_{\omega},\>\>\omega>0,$ of Paley-Wiener functions of bandwidth $\omega$. It is shown that every function in $PW_{\omega},\>\>\omega>0,$ is uniquely
Externí odkaz:
http://arxiv.org/abs/1901.08726
Akademický článek
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Autor:
Pesenson, Isaac Z.
Publikováno v:
Contemporary Mathematics Volume 733, 2019
We consider Banach spaces equipped with a set of strongly continuous bounded semigroups satisfying certain conditions. Using these semigroups we introduce an analog of a modulus of continuity and define analogs of Besov norms. A generalization of a c
Externí odkaz:
http://arxiv.org/abs/1708.07416
Autor:
Pesenson, Isaac Z.
The well known Weyl's asymptotic formula gives an approximation to the number $\mathcal{N}_{\omega}$ of eigenvalues (counted with multiplicities) on an interval $[0,\>\omega]$ of the Laplace-Beltrami operator on a compact Riemannian manifold ${\bf M}
Externí odkaz:
http://arxiv.org/abs/1703.03052
Autor:
Pesenson, Isaac Z.
The objective of this article is to describe a construction of Parseval bandlimited and localized frames on sub-Riemannian compact homogeneous manifolds.
Externí odkaz:
http://arxiv.org/abs/1612.05755