Results 31 to 40 of about 2,222 (252)

Wavelet transforms in generalized Fock spaces

International Journal of Mathematics and Mathematical Sciences, 1997
A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized Fock space.
John Schmeelk, Arpad Takaci
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Hankel transforms in generalized Fock spaces

International Journal of Mathematics and Mathematical Sciences, 1994
A classical Fock space consists of functions of the form,ϕ↔(ϕ0,ϕ1,…,ϕq),where ϕ0∈ℂ and ϕq∈Lp(ℝq), q≥1. We will replace the ϕq, q≥1 with test functions having Hankel transforms.
John Schmeelk
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces

Journal of Function Spaces, 2017
Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
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How to differentiate a quantum stochastic cocycle. [PDF]

, 2010
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin, J Martin Lindsay, Lindsay, J. Martin   +2 more
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Fock space (2): Multiple fock spaces [PDF]

, 1993
From the algebraic point of view, a multiple Fock space over ℌ is nothing but a standard (symmetric or antisymmetric) Fock space over a direct sum of copies of ℌ,and new definitions are not necessary in principle. However, this chapter contains important new notation, and a few rather interesting constructions, like that of the “finite-temperature ...
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On Stopping Fock-Space Processes [PDF]

Journal of Theoretical Probability, 2018
We consider the theory of stopping bounded processes within the framework of Hudson--Parthasarathy quantum stochastic calculus, for both identity and vacuum adaptedness. This provides significant new insight into Coquio's method of stopping (J. Funct. Anal. 238:149-180, 2006).
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Approximating the Fock space with the toy Fock space [PDF]

, 2003
I. The toy Fock space II. The Fock space III. Embedding the toy Fock space into the Fock space IV. Projections on the toy Fock space V. Approximations VI. Probabilistic interpretations VII.
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The Dirac oscillator, generalised parastatistics and colour Lie superalgebras

Nuclear Physics B
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the Z2×Z2-graded Lie superalgebras pso(3|2), pso(3|4) and osp01(1|2)⊕sl10(1|1).
Phillip S. Isaac, Mitchell Ryan
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Extremal Problems in the Fock Space [PDF]

Computational Methods and Function Theory, 2010
This well-written paper investigates some extremal problems in the Fock space. The Fock space, \(F^2\), consists of those entire functions \(f\) for which \(\|f\|_{2}^2=\int_{\mathbb C}|f(z)|^2 e^{-|z|^2}\,dA(z)
Bénéteau, Catherine, Carswell, Brent J., Kouchekian, Sherwin   +2 more
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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations [PDF]

, 2002
We develop systematically a new unifying approach to the analysis of linear stochastic, quantum stochastic and even deterministic equations in Banach spaces.
Kolokoltsov, V. N. (Vasiliĭ Nikitich), V. N. KOLOKOL'TSOV, Belavkin, V. P., V. P. BELAVKIN   +3 more
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