2024 Sampling constants in generalized fock spaces

Sampling constants in generalized fock spaces

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August undefined, 2024

Webdenote the generalized Bargmann-Fock spaces of weighted Lp holomorphic functions on Cn and W re-spectively. When p = +1we replace the integrals by suprema. The classical Bargmann-Fock space ... We say Wis a sampling hypersurface if there is a constant M= M(p;W) such that for all F 2 BFp

Sampling constants in generalized Fock spaces

WebHANKEL TRANSFORMS IN GENERALIZED FOCK SPACES 263 Itlq mq WebThe Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical particles from a single particle Hilbert space H.It is named after V. A. Fock who first introduced it in his 1932 paper "Konfigurationsraum und zweite Quantelung" ("Configuration space and second … breakfast foods bacon sandwich

Fock space - Wikipedia

WebSampling constants in generalized fock spaces - NASA/ADS We prove several results related to a Logvinenko-Sereda type theorem on dominating sets for generalized doubling Fock spaces. In particular, we give a precise polynomial dependence of the sampling constant on the relative density parameter $\gamma$ of the dominating set. WebMar 13, 2024 · Definition of Convenience Samples. A convenience sample is formed when we select elements from a population on the basis of what elements are easy to obtain. Sometimes a convenience sample is called a grab sample as we essentially grab … Websparse in all points and all directions, but if we want it to be sampling it must be dense in all points, but only in one direction for any given point. The interpolation and sampling problems in the generalized Fock space have been studied previously. breakfast foods diabetics can eat

Duality of Large Fock Spaces in Several Complex Variables and ... - Hindawi

arXiv:1305.7475v3 [math.FA] 7 Apr 2014

WebSAMPLING CONSTANTS IN GENERALIZED FOCK SPACES S. KONATE & M.-A. ORSONI Abstract. We discuss sampling constants for dominating sets in generalized Fock spaces. 1. Introduction Sampling problems are central problems in signal theory, and cover, for … WebSAMPLING CONSTANTS IN GENERALIZED FOCK SPACES S. KONATE & M.-A. ORSONI Abstract. We discuss sampling constantsfor dominating sets in generalizedFock spaces. 1. Introduction Sampling problems are central problems in signal theory, and cover, for … costco rochester phone numberWebApr 27, 2024 · the generalized Fock space with respect to the minimal norm. In [9], one can see the boundedness of the Bergman projection on the generalized Fock-Sobolev space with respect to dλ mðzÞ. But they did not obtain the explicit forms of the integral kernel. In [10], Cho et al. computed the Fock kernel for the space with respect to dμαðzÞ ... costco rock block speakers

"WebJan 1, 2013 · An important result about the structure of Gabor frames, the so-called Ron–Shen duality transforms the superframe problem into a problem about multiple Riesz sequences, which can be further transformed in a problem about multiple interpolation in the Fock space (in other words, in a problem of sampling a function of the Fock space using ... " - Sampling constants in generalized fock spaces

Sampling constants in generalized fock spaces

REVERSE CARLESON MEASURES ON GENERALIZED FOCK …

WebJan 2, 2024 · The Fock space F α 2 is a Hilbert space with inner product 〈 f, g 〉 = α π ∫ C f ( z) g ( z) ‾ e − α z 2 d m ( z). The orthonormalization of the monomials gives the basis e k ( z) = α k k! z k, k ≥ 0. The reproducing kernel is k z ( ζ) = ∑ k ≥ 0 e k ( ζ) e k ( z) ‾ = e α z ¯ ζ, … Webfor the Paley-Wiener space and in the 80’s for the Bergman and Fock spaces, see e.g. the survey [FHR17] and references therein). More recently, people got interested in estimates of the sampling constants which give an information on the tradeo between the cost of the sampling and the precision of the estimates.

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WebAug 22, 2024 · In Section 4 we relate sampling sets for Fock space to Marcinkiewicz-Zygmund families and prove the first part of Theorem 1.1. Section 5 covers the converse statement. In Section 6 we deal with uniform interpolating families and prove Theorem 1.2. The connection to the time-frequency analysis of signal subspaces is explained in Section 7. WebFeb 8, 2024 · In Section 4, we conclude the algebraic properties and boundedness of localization operators. Finally, in Section 5, we consider the compactness of weakly localized operators on our Fock spaces. Throughout this paper, we write for two quantities and if there is a constant such that . Furthermore, means that both and are satisfied. 2.

Webestimate of the sampling constant in Fock spaces. Our method is more elementary and uses holomorphy. While our result is presented for the Bergman space, for which the geometry is di erent, the method applies quite directly to consider the case of the (analytic) Fock space. It should also be noted that our intermediate step (Proposition 1 ... <1. The generalized Fock spaces Fp ϕ have been studied by a number of mathematicians; please refer to [5, 7, 8, 20] for details.

WebJan 24, 2024 · Model spaces, de Branges-Rovnyak spaces, Fock type spaces, Dirichlet type spaces. Links with control theory. Preprints and work in progress: 1) Estimates on the solutions to Bézout's equation and a corona theorem, with E. Fricain, W.T. Ross and D. Timotin, submitted, preprint on HAL WebMay 3, 2024 · Abstract. Given ϕ a subharmonic function on the complex plane ℂ, with Δ ϕ d A being a doubling measure, the author studies Fock Carleson measures and some characterizations on μ such that the induced positive Toeplitz operator Tμ is bounded or compact between the doubling Fock space F_\phi ^p and F_\phi ^\infty with 0 < p ≤ ∞, …

WebMar 22, 2024 · We discuss sampling constants for dominating sets in generalized Fock spaces. Discover the world's research 20+ million members 135+ million publications 700k+ research projects Join for...

WebDominating sets in Bergman spaces and sampling constants. A Hartmann, D Kamissoko, S Konate, MA Orsoni. Journal of Mathematical Analysis and Applications 495 (2), 124755. , 2024. 8. 2024. Sampling constants in generalized fock spaces. S Konate, MA Orsoni. … costco rocker chair<1. Then, the Fock{Sobolev spaces F (m;p) consist of entire functions f such that f(m), the m-th order derivative of f, belongs to the classical Fock spaces F p; which consist of all entire functions ffor which Z C jf(z)jpe p2jzj 2dA(z) <1: The Fock{Sobolev spaces were introduced in [5] where it was ... costco rocker gaming chairWebInspired by his work, we proceed to extend the results to the generalized Fock spaces. Moreover, the largest generalized Fock spaces are taken into account and some interesting results are obtained. In this paper, we aim to answer when the Toeplitz operators with between two generalized Fock spaces are bounded or compact, where . costco rockaway njWebNov 28, 2024 · A constant is a quantity that does not change. Although you can measure a constant, you either cannot alter it during an experiment or else you choose not to change it. Contrast this with an experimental variable, which is the part of an experiment that you … costco rocker glider chairWebtask dataset model metric name metric value global rank remove costco rockaway nj hoursWebdominating sets for generalized doubling Fock spaces. In particular, we give a precise polynomial dependence of the sampling constant on the relative density parameter of the dominating set. Our method is an adaptation of that used in [HKKO21] for the Bergman spaces and is based on a Remez-type inequality and a covering lemma related breakfast foods easy on the stomachWebgeneralized Fock space as Fp ϕ:= H(Cn) \ Lp ϕ. It is well-known that Fp ϕ is a Banach space under the norm k · kp,ϕ when 1 ≤ p<∞ and that Fp ϕ is a Fr´echet space with distance ρ(f,g) = kf− gkp p,ϕ if 0 costco rocker outdoor