Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Mitkovski, Mishko"'
Autor:
Dewage, Vishwa, Mitkovski, Mishko
We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toep
Externí odkaz:
http://arxiv.org/abs/2410.23255
We study quantum harmonic analysis (QHA) on the Bergman space $\mathcal{A}^2(\mathbb{B}^n)$ over the unit ball in $\mathbb{C}^n$. We formulate a Wiener's Tauberian theorem, and characterizations of the radial Toeplitz algebra over $\mathcal{A}^2(\mat
Externí odkaz:
http://arxiv.org/abs/2410.23110
Autor:
Dewage, Vishwa, Mitkovski, Mishko
Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfan
Externí odkaz:
http://arxiv.org/abs/2410.00080
Autor:
Dewage, Vishwa, Mitkovski, Mishko
We use results and techniques from Werner's ``quantum harmonic analysis'' to show that $G$-invariant Toeplitz operators are norm dense in $G$-invariant Toeplitz algebras for all subgroups $G$ of the affine unitary group $U_n\ltimes \mathbb{C}^n$. Add
Externí odkaz:
http://arxiv.org/abs/2310.12367
Autor:
Mitkovski, Mishko, Stockdale, Cody B.
We give a new formulation of the $T1$ theorem for compactness of Calder\'on-Zygmund singular integral operators. In particular, we prove that a Calder\'on-Zygmund operator $T$ is compact on $L^2(\mathbb{R}^n)$ if and only if $T1,T^*1\in \text{CMO}(\m
Externí odkaz:
http://arxiv.org/abs/2309.15819
We provide the sharp surface density threshold to guarantee mobile sampling in terms of the surface density of the set.
Externí odkaz:
http://arxiv.org/abs/2308.13509
Schur's inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and of extensions of the latter inequalities to an arbitrary number of term
Externí odkaz:
http://arxiv.org/abs/2306.04046
Publikováno v:
Complex Anal. Oper. Theory17(2023), no.3, Paper No. 40, 31 pp
We present forms of the classical Riesz-Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our theorems apply to classify the precompact subsets of the Lebesgue space $L^2$, Paley-Wiener spaces, weigh
Externí odkaz:
http://arxiv.org/abs/2204.14237
Autor:
Green, A. Walton, Mitkovski, Mishko
We study invertibility and compactness of positive Toeplitz operators associated to a continuous Parseval frame on a Hilbert space. As applications, we characterize compactness of affine and Weyl-Heisenberg localization operators as well as give unce
Externí odkaz:
http://arxiv.org/abs/2109.13393
Autor:
Jaye, Benjamin, Mitkovski, Mishko
We provide a sufficient condition for sets of mobile sampling in terms of the surface density of the set.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/2103.06340