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Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the;

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Harmonic Analysis on Symmetric Spaces - Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

. As with the introductory book entitled Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincare Upper Half;

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Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32

the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic;

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Pointwise Variable Anisotropic Function Spaces on n

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can;

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Introduction To Radon Transforms

. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and;

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A Panorama of Harmonic Analysis

Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean;

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Introduction to Fourier Analysis and Wavelets

cases, at an upper undergraduate level. Necessary prerequisites to using the text are rudiments of the Lebesgue measure and integration on the;

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Harmonic Analysis on Commutative Spaces

This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on;

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Hyperbolic Geometry

plane, Mobius transformations, the general Mobius group and the subgroup preserving path length in the upper half-space model, arc-length and;

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Representation Theory and Harmonic Analysis on Symmetric Spaces

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Olafsson's 65th birthday, held on;

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Minkowski Geometry

spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed;

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Representation Theorems in Hardy Spaces

classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with;

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Representation Theorems in Hardy Spaces

classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with;

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A Panorama of Harmonic Analysis

harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the;

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Radon Transforms and the Rigidity of the Grassmannians (AM-156)

>1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide;

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Sobolev Spaces On Metric Measure Spaces

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis;

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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first;

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Riemannian Manifolds Of Conullity Two

semi-symmetric spaces foliated by Euclidean leaves of codimension two in the sense of Z I Szabo. The authors concentrate on the rich;

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Symmetrization in Analysis

theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces;

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Measure And Integration

the theory of measure and integration on abstract measure spaces with an emphasis of the real line and Euclidean space. Additional topical;

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Geometry of Nonpositively Curved Manifolds

curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a;

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Geometry of Nonpositively Curved Manifolds

curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a;

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Harmonic Functions and Potentials on Finite or Infinite Networks

the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being;

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Wavelet Analysis on the Sphere

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and;

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Representation Discovery using Harmonic Analysis

of harmonic analysis, in particular Fourier and wavelet analysis. Biometric compression methods, the compact disc, the computerized axial tomography;

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Differential Geometry, Functional Analysis and Applications

This book discusses Submanifolds theory, Fibre bundle, Harmonic morphisms, Homogeneous and symmetric spaces, Structures on manifolds;

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Modern Spherical Functions

This book presents an exposition of spherical functions on compact symmetric spaces, from the viewpoint of Cartan-Selberg. Representation;

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