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Hardy Spaces on Homogeneous Groups. (MN-28)

The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted;

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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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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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Measure of Non-Compactness for Integral Operators in Weighted Lebesgue Spaces

operators dened, generally speaking, on homogeneous groups. The main topics of the monograph contain related results for potential and singular;

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Riemannian Manifolds and Homogeneous Geodesics

homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general;

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Riemannian Manifolds and Homogeneous Geodesics

homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general;

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Theory of Besov Spaces

-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the;

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Flows on Homogeneous Spaces. (AM-53), Volume 53

The description for this book, Flows on Homogeneous Spaces. (AM-53), will be forthcoming.;

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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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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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Homogeneous Structures on Riemannian Manifolds

representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are;

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Quantization on Nilpotent Lie Groups

groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie;

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Quantization on Nilpotent Lie Groups

groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie;

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Representation Theorems in Hardy Spaces

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular;

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Representation Theorems in Hardy Spaces

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular;

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Hardy Spaces

classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved;

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London Mathematical Society Lecture Note Series

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to;

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D-Modules and Spherical Representations. (MN-39)

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on 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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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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Geometry of Submanifolds and Homogeneous Spaces

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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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Composition Operators on Hardy-Morosov Theorem

The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak;

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Harmonic Analysis on Homogeneous Spaces

, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector;

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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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Introduction to Arithmetic Groups

homogeneous spaces. The review of the original French version in Mathematical Reviews observes that the style is concise and the proofs (in later;

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L^p-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets

for square function estimates to hold on the entire set. Extrapolation results for $L^p$ and Hardy space versions of these estimates are also;

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