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Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory;

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Boundary Value Problems and Singular Pseudo-Differential Operators

This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral;

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Relative Index Theory, Determinants And Torsion For Open Manifolds

differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to;

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Analysis of Pseudo-Differential Operators

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Differential-algebraic Equations

systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential algebraic operators, generalized;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

physics students wishing to learn more differential geometry than is usually provided in texts on general relativity.;

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Elliptic Theory on Singular Manifolds

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and;

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Elliptic Theory on Singular Manifolds

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and;

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Heat Kernels And Spectral Theory

An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory;

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Setting of Linear Analysis on Manifolds

theory, Sobolev spaces and their invariance and finally, uniform pseudo-differential and Fourier integral operators.;

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Pseudo-Differential Operators: Analysis, Applications and Computations

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the;

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Analysis on Real and Complex Manifolds

Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem;

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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75

Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this;

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Global Riemannian Geometry

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric;

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Spectral Analysis

spectra of elliptic systems on compact manifolds.- J.Cl. Guillot: Quelques resultats recents en Scattering.- N. Schechter: Theory of perturbations;

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Elements of Differential Topology

Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology;

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Synthetic Geometry Of Manifolds

clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric;

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Differential Geometry and Lie Groups

. Beginning with an in-depth study of tensors and differential forms, the authors go on to explore a selection of topics that showcase these tools. An;

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Stochastic Differential Geometry at Saint-Flour

Kunita, H.:Stochastic differential equations and stochastic flows of diffeomorphisms.-Elworthy, D.: Geometric aspects of diffusions on;

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Infinite-Dimensional Manifolds

differential equations, and Riemannian geometry. Like in his other books, Geroch explains even the most abstract concepts with the help of intuitive;

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Elliptic PDEs on Compact Ricci Limit Spaces and Applications

applies these to the study of second-order differential calculus on such limit spaces.;

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Complex Manifolds without Potential Theory

geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially;

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An Introduction to Dirac Operators on Manifolds

The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior;

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Differential Geometry & Integral Geometry

gives a smooth and rapid introduction to differential manifolds and differential geometry, while the set entitled Lectures on Integral Geometry;

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Covariant Schroedinger Semigroups on Riemannian Manifolds

This monograph discusses covariant Schroedinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a;

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Operator Theory and Differential Equations

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical;

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