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FRACTIONAL FOCK–SOBOLEV SPACES
Nagoya Mathematical Journal, 2018Let $s\in \mathbb{R}$ 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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Exponential Hilbert Space: Fock Space Revisited
Journal of Mathematical Physics, 1970An 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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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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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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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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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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International Journal of Theoretical Physics, 1994
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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, 2022AbstractInspired 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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1996
Abstract In this chapter we shall generalize the constructions in Chapter 1 to the infinite dimensional case.
Yu. A Neretin, G G Gould
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Abstract In this chapter we shall generalize the constructions in Chapter 1 to the infinite dimensional case.
Yu. A Neretin, G G Gould
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TOEPLITZ OPERATORS BETWEEN FOCK SPACES
Bulletin of the Australian Mathematical Society, 2015Given a positive Borel measure ${\it\mu}$ on the $n$-dimensional Euclidean space $\mathbb{C}^{n}$, we characterise the boundedness (and compactness) of Toeplitz operators $T_{{\it\mu}}$ between Fock spaces $F^{\infty }({\it\varphi})$ and $F^{p}({\it\varphi})$ with $0<p\leq \infty$ in terms of $t$-Berezin transforms and averaging functions of ${\it ...
Lu, Jin, Lv, Xiaofen
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