ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS
From MaRDI portal
Publication:4460438
DOI10.1142/S0219025701000498zbMath1106.46306arXivmath/0104132OpenAlexW2055022487MaRDI QIDQ4460438
Hui-Hsiung Kuo, Izumi Kubo, Nobuhiro Asai
Publication date: 18 May 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0104132
White noise theory (60H40) Measures and integration on abstract linear spaces (46G12) Distributions on infinite-dimensional spaces (46F25)
Related Items (12)
Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures ⋮ The log-balancedness of generalized derangement numbers ⋮ A new weighted Lindley distribution with application ⋮ ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION ⋮ The log-convexity of \(r\)-derangement numbers ⋮ Some inequalities and an application of exponential polynomials ⋮ Seven (lattice) paths to log-convexity ⋮ THE LOG-BEHAVIOR OF THE CATALAN–LARCOMBE–FRENCH SEQUENCE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE ⋮ The log-convexity of the poly-Cauchy numbers
Cites Work
- Calculus on Gaussian white noise. I
- Calculus on Gaussian white noise. II
- A characterization of Hida distributions
- Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus
- Remark on norm estimate for distribution of white noise
- Spaces of white noise distributions: Constructions, descriptions, applications. I
- A duality theorem between spaces of holomorphic functions of exponential growth
- A New Class of White Noise Generalized Functions
- WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS
- A Characterization of White Noise Test Functionals
This page was built for publication: ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS
