Lectures On Pseudo Differential Operators
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Author | : Alexander Nagel |
Publisher | : Princeton University Press |
Total Pages | : 167 |
Release | : 2015-03-08 |
Genre | : Mathematics |
ISBN | : 1400870488 |
Download Lectures on Pseudo-Differential Operators Book in PDF, Epub and Kindle
The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Louis Nirenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2011-06-06 |
Genre | : Mathematics |
ISBN | : 3642110746 |
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S. Agmon: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators.- J. Bokobza-Haggiag: Une définition globale des opérateurs pseudo-différentiels sur une variété différentiable.- L. Boutet de Monvel: Pseudo-differential operators and analytic function.- A. Calderon: A priori estimates for singular integral operators.- B.F. Jones: Characterization of spaces of Bessel potentials related to the heat equation.- J.J. Kohn: Pseudo-differential operators and non-elliptic problems.- R.T. Seeley: Topics in pseudo-differential operators.- I.M. E. Shamir: Boundary value problems for elliptic convolution systems.- Singer: Elliptic operators on manifolds.
Author | : Xavier Saint Raymond |
Publisher | : Routledge |
Total Pages | : 118 |
Release | : 2018-02-06 |
Genre | : Mathematics |
ISBN | : 1351452924 |
Download Elementary Introduction to the Theory of Pseudodifferential Operators Book in PDF, Epub and Kindle
In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.
Author | : Kurt Otto Friedrichs |
Publisher | : |
Total Pages | : 298 |
Release | : 1970 |
Genre | : Boundary value problems |
ISBN | : |
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Author | : A. Avantaggiati |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2011-06-07 |
Genre | : Mathematics |
ISBN | : 3642110924 |
Download Pseudodifferential Operators with Applications Book in PDF, Epub and Kindle
A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticité pour des opérateurs différentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions nécessaires et suffisantes pour l’existence et l’unicité des solutions du problème de la dérivée oblique.- F. Treves: Boundary value problems for elliptic equations.
Author | : Luigi Rodino |
Publisher | : Springer Science & Business Media |
Total Pages | : 309 |
Release | : 2011-03-13 |
Genre | : Mathematics |
ISBN | : 3034800495 |
Download Pseudo-Differential Operators: Analysis, Applications and Computations Book in PDF, Epub and Kindle
This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.
Author | : Michael Eugene Taylor |
Publisher | : |
Total Pages | : 151 |
Release | : 197? |
Genre | : Differential equations, Partial |
ISBN | : |
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Author | : Luigi Rodino |
Publisher | : American Mathematical Soc. |
Total Pages | : 426 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821842765 |
Download Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis Book in PDF, Epub and Kindle
This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.
Author | : Ryuichi Ashino |
Publisher | : Birkhäuser |
Total Pages | : 236 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034878400 |
Download Advances in Pseudo-Differential Operators Book in PDF, Epub and Kindle
This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
Author | : Man Wah Wong |
Publisher | : World Scientific |
Total Pages | : 136 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9789810202866 |
Download An Introduction to Pseudo-differential Operators Book in PDF, Epub and Kindle
This book gives a straightforward account of a class of pseudo-differential operators. It is ideal for courses in functional analysis, Fourier analysis and partial differential equations. Exercises are also included in the text.