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A Poisson boundary for topological semigroups

Archiv der Mathematik, 2014
\textit{H. Furstenberg} [Ann. Math. (2) 77, 335--386 (1963; Zbl 0192.12704)] proved an integral representation formula in terms of the Poisson boundary for functions harmonic with respect to a Borel measure on a group \(G\) under the assumption that the group is a connected semi-simple Lie group with finite centre and no compact factors.
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On the Bishop boundary in topological algebras

Rendiconti del Circolo Matematico di Palermo, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Topologies and Boundaries in Potential Theory

1971
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 ...
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Values on the Topological Boundary of Tubes

1988
Holomorphic functions in tube domains in ℂn which generalize the Hardy Hp functions are shown to have boundary values on the topological boundary of the tube. The boundary values are obtained restrictedly or unrestrictedly in Lp and in the distribution space \( {\text {K}}_{1}^{\prime}\).
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The Topological Structure of Grain Boundaries

1990
It is shown that grain boundaries are quasiperodic tilings made of inflatable sequences of structural units. A general grain boundary is a quasiperodic grid of dislocations with the same inflation multiplier (a quadratic irrational) in every direction.
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Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods

Computer Methods in Applied Mechanics and Engineering, 2020
Leilei Chen, Haojie Lian, Zhaowei Liu
exaly  

Level set-based topology optimization for two dimensional turbulent flow using an immersed boundary method

Journal of Computational Physics, 2021
Seiji Kubo   +2 more
exaly  

A density gradient approach to topology optimization under design-dependent boundary loading

Journal of Computational Physics, 2020
Cunfu Wang, Xiaoping Qian
exaly  

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