Noneuclidean harmonic analysis, the central limit theorem, and long transmission lines with random inhomogeneities

DOI10.1016/0047-259X(84)90031-9zbMath0551.60022OpenAlexW2034997572MaRDI QIDQ801368

Audrey A. Terras

Publication date: 1984

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(84)90031-9

zbMATH Keywords

central limit theoremexpository paperrotation invariant distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Harmonic analysis on homogeneous spaces (43A85)

Related Items (5)

Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices ⋮ Central limit theorem on noncompact Riemannian symmetric spaces of rank one ⋮ Asymptotic Properties of Maximum Likelihood Estimation: Parameterized Diffusion in a Manifold ⋮ A central limit theorem on the space of positive definite symmetric matrices ⋮ A multidimensional central limit theorem for random walks on hypergroups

Cites Work

• Topics in harmonic analysis on homogeneous spaces
• Recession of some relativistic Markov processes
• Expansions for spherical functions on noncompact symmetric spaces
• Infinitely divisible probabilities on the hyperbolic plane
• Isotropic infinitely divisible measures on symmetric spaces
• Lorentz-invariant Markov processes in relativistic phase space
• A duality for symmetric spaces with applications to group representations
• Random walks with spherical symmetry
• Noneuclidean Harmonic Analysis
• Non-Euclidean functional analysis and electronics
• Products of Random Matrices
• Noncommuting Random Products
• Stochastic Differential Equations with Applications to Random Harmonic Oscillators and Wave Propagation in Random Media
• Wave Propagation in a One-Dimensional Random Medium
• Central Limit Theorem for Semisimple Lie Groups
• The geometry of coupled mode propagation in one‐dimensional random media
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