Order and convexity in potential theory: H-cones. In collab. with Herbert Höllein
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Publication:790293
zbMath0534.31001MaRDI QIDQ790293
Aurel Cornea, Nicu Boboc, Gheorghe Bucur
Publication date: 1981
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Axiomatic potential theory (31D05) Probabilistic potential theory (60J45) Duality theory for topological vector spaces (46A20) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological linear spaces, vector lattices (46A40) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)
Related Items (20)
Strongly supermedian kernels and Revuz measures ⋮ Absorbent, parabolic, elliptic and quasielliptic balayages in potential theory; relationships with the Green function ⋮ On the Existence of Shilov Boundaries ⋮ Martin compactification for discrete potential theory and the mean value property ⋮ Perturbation of resolvents and representation of excessive measures ⋮ H-cones of excessive measures on a locally compact semigroup ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ Ideals, bands and direct sum decompositions in mixed lattice vector spaces ⋮ Green kernels associated with Riesz kernels ⋮ Integral type linear functionals on ordered cones ⋮ Topological cones: functional analysis in a \(T_{0}\)-setting ⋮ On the existence of the biharmonic Green kernels and the adjoint biharmonic functions ⋮ WEAK DUALITY AND THE DUAL PROCESS FOR A SEMI-DIRICHLET FORM ⋮ A Formal Framework for User Centric Control of Probabilistic Multi-agent Cyber-Physical Systems ⋮ Homogeneous Random Measures and a Weak Order for the Excessive Measures of a Markov Process ⋮ Representations of Hyperharmonic Cones ⋮ On Semiregular Points of the Martin Boundary ⋮ A characterization of parabolic potential theory ⋮ Sweeping at the Martin boundary of a fine domain ⋮ Removability of polar sets for harmonic functions.
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