Methods Of Geometric Analysis In Extension And Trace Problems I Classical Extension Trace Theorems And Related Results
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Methods Of Geometric Analysis In Extension And Trace Problems
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Author : Alexander Brudnyi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-07
Methods Of Geometric Analysis In Extension And Trace Problems written by Alexander Brudnyi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-07 with Mathematics categories.
The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make thebook accessible to a wide audience.
Methods Of Geometric Analysis In Extension And Trace Problems I Classical Extension Trace Theorems And Related Results
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Author : I︠U︡. A. Brudnyĭ
language : en
Publisher:
Release Date : 2012
Methods Of Geometric Analysis In Extension And Trace Problems I Classical Extension Trace Theorems And Related Results written by I︠U︡. A. Brudnyĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Geometric analysis categories.
Annotation this text presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure.
Methods Of Geometric Analysis In Extension And Trace Problems
DOWNLOAD
Author : Alexander Brudnyi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-07
Methods Of Geometric Analysis In Extension And Trace Problems written by Alexander Brudnyi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-07 with Mathematics categories.
The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make thebook accessible to a wide audience.
Fourier Analysis
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Author : William O. Bray
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Fourier Analysis written by William O. Bray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.
Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.
Geometric Aspects Of Partial Differential Equations
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Author : Krzysztof Wojciechowski
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Geometric Aspects Of Partial Differential Equations written by Krzysztof Wojciechowski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This collection of papers by leading researchers gives a broad picture of current research directions in geometric aspects of partial differential equations. Based on lectures presented at a Minisymposium on Spectral Invariants - Heat Equation Approach, held in September 1998 at Roskilde University in Denmark, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are new index theorems as well as new calculations of the eta-invariant, of the spectral flow, of the Maslov index, of Seiberg-Witten monopoles, heat kernels, determinants, non-commutative residues, and of the Ray-Singer torsion. New types of boundary value problems for operators of Dirac type and generalizations to manifolds with cuspidal ends, to non-compact and to infinite-dimensional manifolds are also discussed. Throughout the book, the use of advanced analysis methods for gaining geometric insight emerges as a central theme. Aimed at graduate students and researchers, this book would be suitable as a text for an advanced graduate topics course on geometric aspects of partial differential equations and spectral invariants.
Spectral Theory And Geometric Analysis
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Author : Mikhail Aleksandrovich Shubin
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-02-10
Spectral Theory And Geometric Analysis written by Mikhail Aleksandrovich Shubin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-10 with Mathematics categories.
The papers in this volume cover important topics in spectral theory and geometric analysis such as resolutions of smooth group actions, spectral asymptotics, solutions of the Ginzburg-Landau equation, scattering theory, Riemann surfaces of infinite genus and tropical mathematics.
Open Problems In The Geometry And Analysis Of Banach Spaces
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Author : Antonio J. Guirao
language : en
Publisher: Springer
Release Date : 2016-07-26
Open Problems In The Geometry And Analysis Of Banach Spaces written by Antonio J. Guirao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Mathematics categories.
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Spectral Theory And Mathematical Physics
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Author : Marius Mantoiu
language : en
Publisher: Birkhäuser
Release Date : 2016-06-30
Spectral Theory And Mathematical Physics written by Marius Mantoiu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.
The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.
Summaries Of Projects Completed
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date :
Summaries Of Projects Completed written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Engineering categories.