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Lévy Processes in Lie Groups

of such processes as stochastic flows on certain homogeneous spaces. The reader is assumed to be familiar with Lie groups and stochastic analysis;

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Quantization on Nilpotent Lie Groups

groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example;

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Quantization on Nilpotent Lie Groups

groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example;

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Harmonic Analysis on Homogeneous Spaces

advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis;

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Harmonic Maps Into Homogeneous Spaces

This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring;

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Lie Groups

, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on;

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Riemannian Manifolds and Homogeneous Geodesics

results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian;

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Riemannian Manifolds and Homogeneous Geodesics

results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian;

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Analysis on Lie Groups and Homogeneous Spaces

specifically, given a Lie transformation group $L$ of $V$ and a Lie subgroup $Hsubset L$, if $D(V)$ is the set of differential operators on $V;

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Smooth Homogeneous Structures in Operator Theory

infinite dimensional Lie theory with emphasis on the relationship between Lie groups and Lie algebras. A detailed examination of smooth homogeneous;

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Smooth Homogeneous Structures in Operator Theory

infinite dimensional Lie theory with emphasis on the relationship between Lie groups and Lie algebras. A detailed examination of smooth homogeneous;

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Hardy Spaces on Homogeneous Groups. (MN-28)

-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as boundaries, and 2) certain classes of non-elliptic;

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Matrix Groups for Undergraduates

, matrix exponentiation, Lie brackets, maximal tori, homogeneous spaces, and roots. This second edition includes two new chapters that allow for;

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Hardy Inequalities on Homogeneous Groups

principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hoermander's sums;

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Invariant Markov Processes Under Lie Group Actions

groups and homogeneous spaces by a time dependent triple through a martingale property. Preliminary definitions and results in both stochastics;

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Representation Theory of Solvable Lie Groups and Related Topics

beginners in the fields of harmonic analysis on solvable homogeneous spaces.;

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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

researchers interested in dynamical systems, harmonic analysis, differential geometry, Lie theory and number theory.;

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Foundations of Differentiable Manifolds and Lie Groups

Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold;

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Introduction to Arithmetic Groups

for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding;

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Oeuvres - Collected Papers IV

in collaboration, on various topics pertaining mainly to algebraic or Lie groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic forms;

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Harmonic Analysis on Commutative Spaces

analysis on $G/K$ and to uncertainty principles. Part 4, Structure and Analysis for Commutative Spaces , summarizes riemannian symmetric space;

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Lie Groups, Lie Algebras, And Some of Their Applications

examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and;

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Stochastic Processes in Non-Archimedean Banach Spaces, Manifolds & Topological Groups

Banach spaces may be finite and infinite dimensional over a field and manifolds are modelled on Banach spaces. This book reviews research;

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Symplectic Geometry and Fourier Analysis

This book derives from author Nolan R. Wallach's notes for a course on symplectic geometry and Fourier analysis, which he delivered at;

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Theory of Lie Groups (PMS-8), Volume 8

the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and;

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Theory of Lie Groups

govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the;

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Lectures on Lie Groups

the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and;

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