Harmonic Analysis and Discrete Potential Theory

Inhaltsverzeichnis

• 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.
• Laplace’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, 0–2 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.
• ‘Trees, Ends, and Transience.
• ‘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.