A duality theorem between spaces of holomorphic functions of exponential growth
From MaRDI portal
Publication:1971927
DOI10.1006/jfan.1999.3518zbMath0969.46018OpenAlexW1968685918MaRDI QIDQ1971927
R. Gannoun, R. Hachaichi, Habib Ouerdiane, Anis Rezgui
Publication date: 28 August 2000
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1999.3518
Laplace transformFréchet spaceduality theoremYoung functioninductive limit topologyprojective limit topologyspaces of holomorphic functions of exponential growth
Related Items (60)
Analytic characterizations of infinite dimensional distributions ⋮ Asymptotic estimates for white noise distributions ⋮ Large deviations principle for white noise distributions with growth condition ⋮ Generalized fraction evolution equations with fractional Gross Laplacian ⋮ QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM ⋮ Expansion in series of exponential polynomials of mean-periodic functions ⋮ Quantum white noise Feynman-Kac formula ⋮ Lebesgue measure in infinite dimension as an infinite-dimensional distribution ⋮ Quantum Lévy Laplacian and associated heat equation ⋮ GENERALIZED FEYNMAN–KAC FORMULA WITH STOCHASTIC POTENTIAL ⋮ ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION ⋮ Powers of quantum white noise derivatives ⋮ Riemann-Liouville and Caputo fractional potentials associated with the number operator ⋮ Euler's theorem for homogeneous white noise operators ⋮ Fractional number operator and associated fractional diffusion equations ⋮ Quantum Pascal white noise fields ⋮ Quantum white noise Gaussian kernel operators ⋮ The fractional evolution equations associated with the quantum fractional number operator ⋮ Stochastic Bernoulli equation on the algebra of generalized functions ⋮ Stochastic Clairaut equation on algebra of generalized functions ⋮ Quantum fractional Ornstein-Uhlenbeck semigroups and associated potentials ⋮ Generalized Riccati Wick differential equation and applications ⋮ Expansion in series of exponential polynomials of mean-periodic functions with growth conditions ⋮ UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE ⋮ Infinite degrees of freedom Weyl representation: Characterization and application ⋮ Characterization of the \texttt{QWN}-conservation operator and applications ⋮ Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials ⋮ Nonlinear Gaussian transformation in Hilbert spaces ⋮ Rotation invariance of quantum Laplacians ⋮ Nuclear Realization of Virasoro–Zamolodchikov-w∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise ⋮ Tail estimates for positive solutions of stochastic heat equation ⋮ STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS ⋮ Quantum Laplacian and applications ⋮ Entire functions on infinite dimensional spaces ⋮ A Unified Characterization Theorem in White Noise Theory ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative ⋮ QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE ⋮ WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES ⋮ Quantum \(\lambda\)-potentials associated to quantum Ornstein-Uhlenbeck semigroups ⋮ UN THÉORÈME de BOCHNER–MINLOS AVEC UNE CONDITION D'INTÉGRABILITÉ ⋮ Quantum Ornstein-Uhlenbeck semigroups ⋮ Operator theory: quantum white noise approach ⋮ Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator ⋮ Sanov's theorem for white noise distributions and application to the Gibbs conditioning principle ⋮ ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS ⋮ Analytical functionals and application to Poissonian and harmonic analysis ⋮ Pascal white noise calculus ⋮ Evolution equation associated to the powers of the quantum Gross Laplacian ⋮ A QUANTUM APPROACH TO LAPLACE OPERATORS ⋮ Characterization of S-transform for general construction of infinite-dimensional distributions ⋮ Gross Laplacian acting on operators ⋮ Generalized Bernoulli Wick differential equation ⋮ A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS ⋮ RENORMALISATION DU TEMPS LOCAL DES POINTS TRIPLES DU MOUVEMENT BROWNIEN ⋮ Pascal white noise harmonic analysis on configuration spaces and applications ⋮ Stochastic Convolution-Type Heat Equations with Nonlinear Drift ⋮ Solutions of infinite dimensional partial differential equations ⋮ Probabilistic representation of heat equation of convolution type ⋮ QWN-first-order Wick differential operators and an associated transport equation
Uses Software
Cites Work
- Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus
- White noise calculus and Fock space
- Spaces of white noise distributions: Constructions, descriptions, applications. I
- Generalized functionals in Gaussian spaces: The characterization theorem revisited
- A New Class of White Noise Generalized Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A duality theorem between spaces of holomorphic functions of exponential growth
