Download E-books Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) PDF

By Sigurdur Helgason

This ebook provides the 1st systematic exposition of geometric research on Riemannian symmetric areas and its courting to the illustration concept of Lie teams. The ebook begins with sleek fundamental geometry for double fibrations and treats numerous examples intimately. After discussing the speculation of Radon transforms and Fourier transforms on symmetric areas, inversion formulation, and diversity theorems, Helgason examines purposes to invariant differential equations on symmetric areas, lifestyles theorems, and particular resolution formulation, fairly strength concept and wave equations. The canonical multitemporal wave equation on a symmetric house is incorporated. The ebook concludes with a bankruptcy on eigenspace representations--that is, representations on resolution areas of invariant differential equations. recognized for his top of the range expositions, Helgason bought the 1988 Steele Prize for his past books Differential Geometry, Lie teams and Symmetric areas and teams and Geometric research. Containing routines (with suggestions) and references to additional effects, this revised version will be appropriate for complex graduate classes in sleek necessary geometry, research on Lie teams, and illustration idea of Lie teams.

Show description

Read or Download Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) PDF

Best Algebraic Geometry books

The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)

Few humans have proved extra influential within the box of differential and algebraic geometry, and in exhibiting how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made basic contributions in parts as different as: spin geometry, instanton and monopole equations, twistor idea, symplectic geometry of moduli areas, integrables platforms, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, designated Lagrangian geometry and replicate symmetry, concept of grebes, and lots of extra.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of simple examples and methods during this zone. appropriate for self-study by means of a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

According to a direction given to gifted high-school scholars at Ohio collage in 1988, this ebook is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It well bridges the space among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The category concept of algebraic kinds is the focal point of this booklet. This very lively zone of study continues to be constructing, yet an awesome volume of data has collected over the last two decades. The authors aim is to supply an simply obtainable advent to the topic. The ebook starts off with preparatory and conventional definitions and effects, then strikes directly to speak about numerous features of the geometry of gentle projective types with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version application of category of algebraic kinds by means of proving the cone and contraction theorems.

Extra resources for Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs)

Show sample text content

Rated 4.95 of 5 – based on 9 votes