Tran Moscow Math Soc, Vol 24-1971

Tran Moscow Math Soc, Vol 24-1971 PDF Author: V. I. Averbuh A. Brudnyi V. Egorov
Publisher: American Mathematical Soc.
ISBN: 9780821895283
Category :
Languages : en
Pages : 266

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Book Description
Spans several topics, including pseudodifferential operators, pseudodifferential equations, function spaces defined by local approximations, differentiable measures, and $o$-metrizable spaces

Tran Moscow Math Soc, Vol 24-1971

Tran Moscow Math Soc, Vol 24-1971 PDF Author: V. I. Averbuh A. Brudnyi V. Egorov
Publisher: American Mathematical Soc.
ISBN: 9780821895283
Category :
Languages : en
Pages : 266

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Book Description
Spans several topics, including pseudodifferential operators, pseudodifferential equations, function spaces defined by local approximations, differentiable measures, and $o$-metrizable spaces

Sixteen papers on differential equations

Sixteen papers on differential equations PDF Author: D. M. Galin
Publisher: American Mathematical Soc.
ISBN: 9780821895566
Category : Differential equations
Languages : en
Pages : 350

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Book Description


Transactions of the Moscow Mathematical Society for the Year ...

Transactions of the Moscow Mathematical Society for the Year ... PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264

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Book Description


Direct and Inverse Problems of Mathematical Physics

Direct and Inverse Problems of Mathematical Physics PDF Author: R.P. Gilbert
Publisher: Springer Science & Business Media
ISBN: 1475732147
Category : Mathematics
Languages : en
Pages : 452

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Book Description
This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT -9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the 'participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense. This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo differential operators, and semigroup theory.

Semigroups and Automata

Semigroups and Automata PDF Author: Uno Kaljulaid
Publisher: IOS Press
ISBN: 1586035827
Category : Computers
Languages : en
Pages : 496

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Book Description
This volume provides a selection of previously published papers and manuscripts of Uno Kaljulaid, an eminent Estonian algebraist of the last century. The central part of the book is the English translation of Kaljulaid's 1979 Candidate thesis, which originally was typewritten in Russian and manufactured in not so many copies. The thesis is devoted to representation theory in the spirit of his thesis advisor B.I. Plotkin: representations of semigroups and algebras, especially extension to this situation, and application of the notion of triangular product of representations for groups introduced by Plotkin. Through representation theory, Kaljulaid became also interested in automata theory, which at a later phase became his main area of interest. Another field of research concerns combinatorics. Besides being an outstanding and most dedicated mathematician, Uno Kaljulaid was also very much interested in the history of mathematics. In particular, he took a vivid interest in the life and work of the great 19th century Dorpat-Tartu algebraist Th. Molien. Kaljulaid was also very interested in teaching and exposition, or popularization of mathematics. Some of his more popular-scientific papers were published in an Estonian language journal Matemaatika ja Kaasaeg (Mathematics and Our Age). Among them, there is a whole series of papers about algebraic matters, culminating in a brilliant, elementary - although partly rather philosophical - essay devoted to Galois theory. Another such series is his excellent essay of Diophantine Geometry in various installments, followed by his loge to another of his teachers Yu. I. Manin. It is believed that the inclusion of these papers here will make it more interesting for beginners, and perhaps even contribute to attracting young people to mathematics.

Pseudodifferential Operators and Spectral Theory

Pseudodifferential Operators and Spectral Theory PDF Author: M.A. Shubin
Publisher: Springer Science & Business Media
ISBN: 3642565794
Category : Mathematics
Languages : en
Pages : 296

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Book Description
I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.

Cauchy Problem for Differential Operators with Double Characteristics

Cauchy Problem for Differential Operators with Double Characteristics PDF Author: Tatsuo Nishitani
Publisher: Springer
ISBN: 3319676121
Category : Mathematics
Languages : en
Pages : 215

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Book Description
Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for differential operators with non-effectively hyperbolic double characteristics. Previously scattered over numerous different publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem. A doubly characteristic point of a differential operator P of order m (i.e. one where Pm = dPm = 0) is effectively hyperbolic if the Hamilton map FPm has real non-zero eigen values. When the characteristics are at most double and every double characteristic is effectively hyperbolic, the Cauchy problem for P can be solved for arbitrary lower order terms. If there is a non-effectively hyperbolic characteristic, solvability requires the subprincipal symbol of P to lie between −Pμj and Pμj , where iμj are the positive imaginary eigenvalues of FPm . Moreover, if 0 is an eigenvalue of FPm with corresponding 4 × 4 Jordan block, the spectral structure of FPm is insufficient to determine whether the Cauchy problem is well-posed and the behavior of bicharacteristics near the doubly characteristic manifold plays a crucial role.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952

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Book Description


Hardy Classes and Operator Theory

Hardy Classes and Operator Theory PDF Author: Marvin Rosenblum
Publisher: Courier Corporation
ISBN: 9780486695365
Category : Mathematics
Languages : en
Pages : 204

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Book Description
Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.

The Restricted 3-Body Problem: Plane Periodic Orbits

The Restricted 3-Body Problem: Plane Periodic Orbits PDF Author: Alexander D. Bruno
Publisher: Walter de Gruyter
ISBN: 3110901730
Category : Mathematics
Languages : en
Pages : 377

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Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany