Sampling constants in generalized fock spaces
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 … 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.
Sampling constants in generalized fock spaces
Did you know?
WebMar 1, 2024 · Sampling 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 … WebLet mbe any nonnegative integer and 0
Webgeneralized 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 Webtask dataset model metric name metric value global rank remove
WebInspired 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 . WebOct 1, 2024 · S. Konate M.- A. Orsoni Abstract We discuss sampling constants for dominating sets in Bergman spaces. Our method is based on a Remez-type inequality by Andrievskii and Ruscheweyh. We also...
<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 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, … lockout tagout switchWebFeb 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. lock out tag out trainedWebfor 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. lockout tagout storage cabinetWebThe general state in a Fock space is a linear combination of product states. A state that cannot be written as a convex sum of product states is called an entangled state . When we speak of one particle in state , we must bear in mind that in quantum mechanics identical … lockout tagout termsWebMar 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... indication of blood transfusion pdfWebDec 15, 2024 · In this paper we introduce a Fock space related to derivatives of Gelfond-Leontiev type, a class of derivatives which includes many classic examples like fractional derivatives or Dunkl operators. For this space we establish a modified Bargmann transform as well as density theorems for sampling and interpolation. indication of budesonideWebMay 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 ≤ ∞, … indication of body temperature