Fourier transform of characteristic functions and Lebesgue constants for multiple Fourier series
Luca Brandolini (1993)
Colloquium Mathematicae
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Luca Brandolini (1993)
Colloquium Mathematicae
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Kharibegashvili, S. (1998)
Georgian Mathematical Journal
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Piotr Biler, Tadeusz Nadzieja (1993)
Colloquium Mathematicae
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We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.
Matvijchuk, K.S. (2000)
Siberian Mathematical Journal
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Evtukhov, V.M., Drik, N.G. (1996)
Georgian Mathematical Journal
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Begmatov, Akram Kh. (2001)
Sibirskij Matematicheskij Zhurnal
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Mitsuo Morimoto, Keiko Fujita (1996)
Banach Center Publications
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Let L(z) be the Lie norm on and L*(z) the dual Lie norm. We denote by the space of complex harmonic functions on the open Lie ball and by the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.
Ivanov, A.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Hamani, Karima (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mironov, A.E. (2001)
Siberian Mathematical Journal
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Zadorin, A.I. (2001)
Sibirskij Matematicheskij Zhurnal
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