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TitleHarmonic Analysis and Discrete Potential Theory [electronic resource] / edited by Massimo A. Picardello
ImprintBoston, MA : Springer US : Imprint: Springer, 1992
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Descript VIII, 302 p. online resource


Compactifications Determined by a Polyhedral Cone Decomposition of ?n -- Maximal Functions at Infinity for Poisson Integrals on N A -- Potential at Infinity on Symmetric Spaces and Martin Boundary -- On Rough Maximal Operators and Weak Type (1, 1) Estimates for Convolutions -- Laplaceโ{128}{153}s Method, Stationary Phase, Saddle Points, and a Theorem of Lalley -- Besov Spaces on Non-homogeneous Martingales -- Boundary Representations of the Free Group, I -- Boundary Representations of the Free Group, II -- Negative Definite Kernels on Trees -- Positive and Negative Definite Kernels on Trees -- Probabilistic Methods for Ultracontractivity -- Remarks on Amenability of Discrete Hypergroups -- Measure-Theoretic Boundaries of Markov Chains, 0โ{128}{147}2 Laws and Entropy -- Perturbations of Operators, Connections with Singular Integrals, Hyperbolicity and Entropy -- Isoperimetric Inequalities for Capacities -- Sobolev Inequalities on Graphs and on Manifolds -- Potential Theory on non Unimodular Groups -- Harmonic Analysis of Random Walks on the Daisy Library Graph -- The Rate of Escape of a Polynomial Random Walk on ?2 -- Random Walks on ?-Networks -- โ{128}{152}Trees, Ends, and Transience -- โ{128}{152}On the Harmonic Measure of Self-Similar Sets on the Plane -- Sharp Estimates for the Entropy -- Asymptotic Properties of Unitary Representations of Tree Automorphisms -- Contributors

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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