An identity for reproducing kernels in a planar domain and Hilbert-Schmidt Hankel operators.
J. Peetre, S. Janson, J. Arazy, S.D. Fisher (1990)
Journal für die reine und angewandte Mathematik
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J. Peetre, S. Janson, J. Arazy, S.D. Fisher (1990)
Journal für die reine und angewandte Mathematik
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Frédéric Bayart (2004)
Acta Arithmetica
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Mošová, Vratislava
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A. Mallik (1981)
Acta Arithmetica
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H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Anna Talarczyk (2000)
Studia Mathematica
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We study a linear second order parabolic equation in an open subset of a separable Hilbert space, with the Dirichlet boundary condition. We prove that a probabilistic formula, analogous to one obtained in the finite-dimensional case, gives a solution to this equation. We also give a uniqueness result.
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Matsuyo Tomisaki (1990)
Forum mathematicum
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Hongfen Yuan, Valery V. Karachik (2022)
Czechoslovak Mathematical Journal
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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.