WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS
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Publication:4810343
DOI10.1142/S0219025799000199zbMath1043.46506OpenAlexW1967545892MaRDI QIDQ4810343
Hui-Hsiung Kuo, Izumi Kubo, Ambar N. Sengupta
Publication date: 3 September 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025799000199
Generalized stochastic processes (60G20) White noise theory (60H40) Measures and integration on abstract linear spaces (46G12) Distributions on infinite-dimensional spaces (46F25)
Related Items (9)
Analytic characterizations of infinite dimensional distributions ⋮ On the equivalence of probability spaces ⋮ Some inequalities and an application of exponential polynomials ⋮ A Unified Characterization Theorem in White Noise Theory ⋮ QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE ⋮ AN EXTENDED STOCHASTIC INTEGRAL AND A WICK CALCULUS ON PARAMETRIZED KONDRATIEV-TYPE SPACES OF MEIXNER WHITE NOISE ⋮ ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS ⋮ Characterization of S-transform for general construction of infinite-dimensional distributions ⋮ One dimensional parametrized test functions space of entire functions
Cites Work
- Calculus on Gaussian white noise. I
- Calculus on Gaussian white noise. II
- Integral transforms of analytic functions on abstract Wiener spaces
- 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
- Log-concavity and related properties of the cycle index polynomials
- A New Class of White Noise Generalized Functions
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