Transforms on white noise functionals with their applications to Cauchy problems
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Publication:4386093
DOI10.1017/S0027763000006292zbMath0903.60049OpenAlexW1566792987MaRDI QIDQ4386093
Publication date: 11 January 1999
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0027763000006292
Related Items (24)
Evolution systems and continuity equations for white noise functionals ⋮ QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM ⋮ CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS ⋮ Quantum white noise Feynman-Kac formula ⋮ Factorization property of convolutions of white noise operators ⋮ Some properties of the matrix Wiener transform with related topics on Hilbert space ⋮ Generalized Cameron–Storvick theorem and its applications ⋮ New expressions of the modified generalized integral transform via the translation theorem with applications ⋮ Fractional Langevin type equations for white noise distributions ⋮ Transformations on white noise functions associated with second order differential operators of diagonal type ⋮ Notes on a 𝐶₀-group generated by the Lévy Laplacian ⋮ Quantum stochastic calculus associated with quadratic quantum noises ⋮ Quantum \(\lambda\)-potentials associated to quantum Ornstein-Uhlenbeck semigroups ⋮ Quantum Ornstein-Uhlenbeck semigroups ⋮ Operator theory: quantum white noise approach ⋮ Unnamed Item ⋮ A recurrence formula with respect to the Cameron–Storvick type theorem of the 𝒯-transform ⋮ An implementation problem for boson fields and quantum Girsanov transform ⋮ UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM ⋮ Fundamental formulas for modified generalized integral transforms ⋮ Multi-parameter transformation groups on white noise functionals ⋮ Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives ⋮ QWN-first-order Wick differential operators and an associated transport equation ⋮ Gaussian kernel operators on white noise functional spaces
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