Results 11 to 20 of about 83,130 (282)
Bilinear Forms on the Dirichlet Space [PDF]
Analysis & PDE, 2008 Let $\mathcal{D}$ be the classical Dirichlet space, the Hilbert space of holomorphic functions on the disk. Given a holomorphic symbol function $b$ we define the associated Hankel type bilinear form, initially for polynomials f and g, by $T_{b}(f,g):= _{\
Arcozzi, Nicola +3 more
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Dirichlet forms and white noise analysis [PDF]
Communications in Mathematical Physics, 1988 The framework of white noise analysis [\textit{T. Hida}, Brownian motion (1980; Zbl 0432.60002)] is used to construct and investigate Dirichlet forms [\textit{M. Fukushima}, Dirichlet forms and Markov processes. (1980; Zbl 0422.31007)] over \({\mathcal S}^*({\mathbb{R}})\) (the generalization of \({\mathcal S}^*({\mathbb{R}}^ d)\) being obvious). Let (\
HIDA, T, POTTHOFF, J, Streit, Ludwig
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Double Dirichlet series and quantum unique ergodicity of weight 1/2 Eisenstein series [PDF]
, 2014 The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for {\Gamma}_0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and Dirichlet characters.
Bailey +9 more
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Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals
Advances in Mathematical Physics, 2017 The annihilation operators on Bernoulli functionals (Bernoulli annihilators, for short) and their adjoint operators satisfy a canonical anticommutation relation (CAR) in equal-time.
Caishi Wang, Beiping Wang
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PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS
Forum of Mathematics, Sigma, 2020 We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI +3 more
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On Dirichlet Forms and Semi-Dirichlet Forms [PDF]
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
Abstract and Applied Analysis, 2012 This paper deals with the following Dirichlet problem: in on . Based on its solvability, we derive some properties of its solutions. In this paper, we mainly get three results.
Tingting Wang, Gejun Bao
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AIP Advances, 2022 This study sought to use Schrödigner’s equation to model superconducting proximity effect systems of symmetric forms. As Werthamer noted [Phys. Rev. 132(6), 2440–2445 (1963)], one to one analogies between the standard superconducting proximity effect ...
B. J. Luke, P. R. Broussard
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Least energy nodal solutions for elliptic equations with indefinite nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We prove the existence of a nodal solution with two nodal domains for the Dirichlet problem with indefinite nonlinearity \begin{equation*} -\Delta_p u = \lambda |u|^{p-2} u + f(x) |u|^{\gamma-2} u \end{equation*} in a bounded domain $\Omega \subset ...
Vladimir Bobkov
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Value-distribution of twisted L-functions of normalized cusp forms
Lietuvos Matematikos Rinkinys, 2010 A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Alesia Kolupayeva
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