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Catalogue Information
Field name	Details
Dewey Class	510
Title	On Topologies and Boundaries in Potential Theory ([EBook]) / by Marcel Brelot.
Author	Brelot, Marcel. , 1903-1987
Other name(s)	SpringerLink (Online service)
Edition statement	Enlarged edition of a course of lectures delivered in 1966
Publication	Berlin, Heidelberg : Springer , 1971.
Physical Details	VIII, 180 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 175
ISBN	9783540364474
Contents note	General notions of thinness and fine topology -- Notion of reduced function. Applications. Strong thinness and strong unthinness -- General results on fine limits -- Quasi-topological notions -- Weak thinness -- Notions in classical potential theory -- Classical fine topology-general properties -- Applications to balayage, weights and capacities -- Further study of classical thinness. Some applications -- Relations with the Choquet boundary -- Extension to axiomatic theories of harmonic functions -- Abstract minimal thinness, minimal boundary, minimal fine topology -- General compactification of constantinescu-cornea first examples of application -- Classical martin space the martin integral representation -- Classical martin space and minimal thinness -- Classical martin boundary dirichlet problem and boundary behaviour -- Comparison of both thinnesses. Fine limits and non-tangential limits. (Classical case. Examples) -- Martin space and minimal thinness in axiomatic theories — short survey.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0060353
Links to Related Works	Subject References: Mathematics . Mathematics, general . Authors: Brelot, Marcel. 1903-1987 . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 510 .

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On Topologies and Boundaries in Potential Theory: Enlarged edition of a course of lectures delivered in 1966

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