Results 51 to 60 of about 31,317 (214)
An integral representation for Besov and Lipschitz spaces
It is well known that functions in the analytic Besov space $B_1$ on the unit disk $\D$ admits an integral representation $$f(z)=\ind\frac{z-w}{1-z\bar w}\,d\mu(w),$$ where $\mu$ is a complex Borel measure with $|\mu|(\D)
Arazy +6 more
core +1 more source
Bond and Antibond Resonances: A Unified Framework for Singlet Biradical Character
The electronic structure of a variety of singlet biradicaloids may be described in the Lewis picture using single antibonds as the central bonding motif. In conjunction with a consistent set of biradical indicators, we can resolve some long‐standing disputes over the biradical character of molecules such as O3 and S2N2.
Daniel T. Gschwind, Jonas Bresien
wiley +1 more source
Solutions of Klein--Gordon and Dirac equations on quantum Minkowski spaces
Covariant differential calculi and exterior algebras on quantum homogeneous spaces endowed with the action of inhomogeneous quantum groups are classified.
A. Schirrmacher +23 more
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The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
wiley +1 more source
The Generalized Mehler–Fock Transform over Lebesgue Spaces
This paper focuses on establishing boundedness properties and Parseval–Goldstein-type relations for the generalized Mehler–Fock transform initially introduced by B. L. J. Braaksma and B. M. Meulenbeld (Compositio Math., 18(3):235–287, 1967).
Jeetendrasingh Maan +2 more
doaj +1 more source
Linear differential equations with coefficients in Fock type space
In this paper we deal with complex differential equations of the form \begin{eqnarray*} f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdot\cdot\cdot+a_{1}(z)f^{'}+a_{0}(z)f=0 \end{eqnarray*} with the coefficients in Fock type space.
Xiang Dong Yang, Jin Tu
doaj +1 more source
Integral operators induced by the Fock kernel [PDF]
We study the $L^p$ boundedness and find the norm of a class of integral operators induced by the reproducing kernel of Fock spaces over $C^n$.Comment: 21 ...
Dostanic, Milutin, Zhu, Kehe
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Stochastic integration in Fock space [PDF]
This paper uses elementary Hilbert-space techniques to construct an analogue of the Itô integral, the 'integral' taking values in the symmetric Fock space of a direct integral \(\bar {\mathcal H}\) of Hilbert spaces over the real line. (The case \(\bar {\mathcal H}=L^ 2[0,\infty)\) yields the classical Itô integral.) An explicit formula is obtained for
openaire +3 more sources
ABSTRACT Warm dense matter (WDM) is a complex state, where quantum effects, thermal excitations, and strong interparticle correlations coexist. Understanding its microscopic composition and medium‐induced modifications of atomic and molecular properties is essential for planetary modeling, fusion research, and high‐energy‐density experiments.
L. T. Yerimbetova +4 more
wiley +1 more source
Decomposition ofq-deformed Fock spaces
20 pages, LaTeX ...
Kashiwara, M., Miwa, T., Stern, E.
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