Typical Singularities Of Differential 1 Forms And Pfaffian Equations

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Typical Singularities Of Differential 1 Forms And Pfaffian Equations

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Author : Mikhail Zhitomirskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Typical Singularities Of Differential 1 Forms And Pfaffian Equations written by Mikhail Zhitomirskiĭ 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 1992 with Mathematics categories.

Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskii presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.

Subgroups Of Teichmuller Modular Groups

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Author : Nikolai V. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-12-28

Subgroups Of Teichmuller Modular Groups written by Nikolai V. Ivanov 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 1992-12-28 with Mathematics categories.

Teichmuller modular groups, also known as mapping class groups of surfaces, serve as a meeting ground for several branches of mathematics, including low-dimensional topology, the theory of Teichmuller spaces, group theory, and, more recently, mathematical physics. The present work focuses mainly on the group-theoretic properties of these groups and their subgroups. The technical tools come from Thurston's theory of surfaces - his classification of surface diffeomorphisms and the theory of measured foliations on surfaces.The guiding principle of this investigation is a deep analogy between modular groups and linear groups. For some of the central results of the theory of linear groups (such as the theorems of Platonov, Tits, and Margulis-Soifer), the author provides analogous results for the case of subgroups of modular groups. The results also include a clear geometric picture of subgroups of modular groups and their action on Thurston's boundary of Teichmuller spaces. Aimed at research mathematicians and graduate students, this book is suitable as supplementary material in advanced graduate courses.

Gaussian Processes

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Author : Takeyuki Hida
language : en
Publisher: American Mathematical Soc.
Release Date :

Gaussian Processes written by Takeyuki Hida 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 with Mathematics categories.

Complexity Of Proofs And Their Transformations In Axiomatic Theories

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Author : V. P. Orevkov
language : en
Publisher: American Mathematical Soc.
Release Date :

Complexity Of Proofs And Their Transformations In Axiomatic Theories written by V. P. Orevkov 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 with Mathematics categories.

This book develops the tool of logical deduction schemata by using it to establish upper and lower bounds on the complexity of proofs and their transformations in axiomatized theories.

Invariant Function Spaces On Homogeneous Manifolds Of Lie Groups And Applications

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Author : Mark Lʹvovich Agranovskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01

Invariant Function Spaces On Homogeneous Manifolds Of Lie Groups And Applications written by Mark Lʹvovich Agranovskiĭ 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 1993-01-01 with Mathematics categories.

This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. The author obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains.

Elie Cartan 1869 1951

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Author : M. A. Akivis
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-07-14

Elie Cartan 1869 1951 written by M. A. Akivis 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 2011-07-14 with Mathematics categories.

This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.

An Introduction To Sato S Hyperfunctions

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Author : Mitsuo Morimoto
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01

An Introduction To Sato S Hyperfunctions written by Mitsuo Morimoto 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 1993-01-01 with Mathematics categories.

This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.

Nelinejnye Nelokal Nye Uravneni V Teorii Voln

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Author : Pavel Ivanovich Naumkin
language : en
Publisher: American Mathematical Soc.
Release Date :

Nelinejnye Nelokal Nye Uravneni V Teorii Voln written by Pavel Ivanovich Naumkin 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 with Science categories.

This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.

Some Questions In The Theory Of Moments

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Author : Mark Grigorʹevich Kreĭn
language : en
Publisher: American Mathematical Soc.
Release Date : 1968

Some Questions In The Theory Of Moments written by Mark Grigorʹevich Kreĭn 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 1968 with Functional analysis categories.

Arithmetic Of Probability Distributions And Characterization Problems On Abelian Groups

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Author : Gennadiĭ Mikhaĭlovich Felʹdman
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Arithmetic Of Probability Distributions And Characterization Problems On Abelian Groups written by Gennadiĭ Mikhaĭlovich Felʹdman 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 1993 with Mathematics categories.

This book studies the problem of the decomposition of a given random variable into a sum of independent random variables (components). Starting from the famous Cramer theorem, which says that all components of a normal random variable are also normal random variables, the central feature of the book is Feldman's use of powerful analytical techniques. In the algebraic case, one cannot directly use analytic methods because of the absence of a natural analytic structure on the dual group, which is the domain of characteristic functions. Nevertheless, the methods developed in this book allow one to apply analytic techniques in the algebraic setting. The first part of the book presents results on the arithmetic of probability distributions of random variables with values in a locally compact abelian group. The second part studies problems of characterization of a Gaussian distribution of a locally compact abelian group by the independence or identical distribution of its linear statistics.