Results 191 to 200 of about 5,161,923 (254)

FRACTIONAL FOCK–SOBOLEV SPACES

Nagoya Mathematical Journal, 2018
Let $s\in \mathbb{R}$ and $0<p\leqslant \infty$. The fractional Fock–Sobolev spaces $F_{\mathscr{R}}^{s,p}$ are introduced through the fractional radial derivatives $\mathscr{R}^{s/2}$. We describe explicitly the reproducing kernels for the fractional Fock–Sobolev spaces $F_{\mathscr{R}}^{s,2}$ and then get the pointwise size estimate of the ...
Cho, Hong Rae, Park, Soohyun
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A class of weighted composition operators on the Fock space

Complex Variables and Elliptic Equations, 2019
By applying reproducing kernel techniques, a class of weighted composition operators on the Fock space, which are unitarily equivalent to nonzero constant multiple of composition operators, are characterized completely.
Lixia Feng, Liankuo Zhao
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Unbounded Weighted Composition Operators on Fock space

Potential Analysis, 2018
In this paper, we consider unbounded weighted composition operators acting on Fock space, and investigate some important properties of these operators, such as C $\mathcal {C}$ -selfadjoint (with respect to weighted composition conjugations), Hermitian ...
P. V. Hai
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Low-Energy Fock-Space Localization for Attractive Hard-Core Particles in Disorder

, 2017
We study a one-dimensional quantum system with an arbitrary number of hard-core particles on the lattice, which are subject to a deterministic attractive interaction as well as a random potential.
V. Beaud, S. Warzel
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Exponential Hilbert Space: Fock Space Revisited

Journal of Mathematical Physics, 1970
An exponential Hilbert space, which is an abstraction of the familiar Fock space for bosons, provides a natural framework to discuss a wide class of field-operator representations. This framework is especially convenient when wide invariance groups, such as a unique translationally invariant state, are involved.
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Fock Space (1)

1993
The preceding chapters dealt with the non-commutative analogues of discrete r.v.’s, then of real valued r.v.’s, and we now begin to discuss stochastic processes. We start with the description of Fock space (symmetric and antisymmetric) as it is usually given in physics books.
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Fock Space Mappings

1994
The main fields of application of Fock space mappings have been in solid state and nuclear physics. With respect to these applications there exists a comprehensive literature which we cannot discuss all in detail. Rather as in the previous chapter we restrict ourselves to the discussion of a representative example.
Harald Stumpf, Thomas Borne
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Fredholmness of Toeplitz Operators on the Fock Space

, 2017
The Fredholm property of Toeplitz operators on the p-Fock spaces $$F_\alpha ^p$$Fαp on $$\mathbb {C}^n$$Cn is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra $$\mathcal {T}_{p,\alpha }$$Tp,α on $$F_\alpha ^p$$Fαp ...
R. Fulsche, Raffael Hagger
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Nonstandard Fock spaces

International Journal of Theoretical Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HANKEL MEASURES FOR FOCK SPACE

Bulletin of the Australian Mathematical Society, 2022
AbstractInspired by Xiao’s work on Hankel measures for Hardy and Bergman spaces [‘Pseudo-Carleson measures for weighted Bergman spaces’. Michigan Math. J.47 (2000), 447–452], we introduce Hankel measures for Fock space $F^p_\alpha $ . Given $p\ge 1$ , we obtain several equivalent descriptions for such measures on $F^p_\alpha $ .
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