Double layer potentials and the Dirichlet problem
Ivan Netuka (1974)
Czechoslovak Mathematical Journal
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Displaying similar documents to “An analytic approach to semiclassical potential theory”
Double layer potentials and the Dirichlet problem
A new setting for potential theory. I
Kai Lai Chung, K. Murali Rao (1980)
Annales de l'institut Fourier
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We consider a transient Hunt process in which the potential density satisfies the conditions: (a) for each , is finite continuous in ; (b) iff . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).
Hunt processes and analytic potential theory on rigged Hilbert spaces
Sergio Albeverio, Raphael Høegh-Krohn (1977)
Annales de l'I.H.P. Probabilités et statistiques
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On the equilibrium of signed measures
W. Kleiner (1964)
Colloquium Mathematicae
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On balayées of excessive measures and functions with respect to resolvents
Takesi Watanabé (1971)
Séminaire de probabilités de Strasbourg
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Analytic potential theory over the -adics
Shai Haran (1993)
Annales de l'institut Fourier
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Over a non-archimedean local field the absolute value, raised to any positive power , is a negative definite function and generates (the analogue of) the symmetric stable process. For , this process is transient with potential operator given by M. Riesz’ kernel. We develop this potential theory purely analytically and in an explicit manner, obtaining special features afforded by the non-archimedean setting ; e.g. Harnack’s inequality becomes an equality.