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of 1 992
pro vyhledávání: '"47B35"'
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
In this paper, we use the non-increasing rearrangement of ${\rm IDA}$ function with respect to a suitable measure to characterize the asymptotic behavior of the singular values sequence $\{s_n(H_f)\}_n$ of Hankel operators $H_f$ acting on a large cla
Externí odkaz:
http://arxiv.org/abs/2410.20082
Autor:
Svela, Erling A. T.
Daubechies-type theorems for localization operators are established in the multi-variate setting, where Hagedorn wavepackets are identified as the proper substitute of the Hermite functions. The class of Reinhardt domains is shown to be the natural c
Externí odkaz:
http://arxiv.org/abs/2410.18769
Autor:
Zhang, Shengjie, Lyu, Shulin
We consider the Hankel determinant generated by the moments of the even weight function ${\rm e}^{-x^2}(A+B\theta(x^2-a^2)), x\in(-\infty,+\infty), a>0, A\ge0, A+B\ge0$. It is intimately related to the gap probability of the Gaussian unitary ensemble
Externí odkaz:
http://arxiv.org/abs/2410.16774
Autor:
Testorf, Johannes
In a recent paper, the discrete Gabor transform was connected to a Gabor transform with a time frequency domain given by the flat torus. We show that the corresponding Bargmann spaces can be expressed as theta line bundles on Abelian varieties. We gi
Externí odkaz:
http://arxiv.org/abs/2410.15170
In this paper, we study the basic properties of Toeplitz Operators with positive measures $\mu$ on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes $S_{p}$ of $T_{\mu}$ by using the methods of Ber
Externí odkaz:
http://arxiv.org/abs/2410.06538
Autor:
Jain, Shubham, pramanick, paramita
We formally introduce and study Toeplitz operators on the Hardy space of the $n$-dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc $\mathbb D^n.$ As an
Externí odkaz:
http://arxiv.org/abs/2410.00791
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
In this paper we consider a class of unbounded Toeplitz operators with rational matrix symbols that have poles on the unit circle and employ state space realization techniques from linear systems theory, as used in our earlier analysis in [11] of thi
Externí odkaz:
http://arxiv.org/abs/2409.19113
Autor:
Matsuno, Yoshimasa
We study the cubic Szeg\"o equation which is an integrable nonlinear non-dispersive and nonlocal evolution equation. In particular, we present a direct approach for obtaining the multiphase and multisoliton solutions as well as a special class of per
Externí odkaz:
http://arxiv.org/abs/2409.18350