Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download A Characterization Of Differential Operators On Locally Compact Abelian Groups full books in PDF, epub, and Kindle. Read online A Characterization Of Differential Operators On Locally Compact Abelian Groups ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Martin Engert
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.F/5 ( download)
Download or read book A Characterization of Differential Operators on Locally Compact Abelian Groups written by Martin Engert and published by . This book was released on 1965 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Engert
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.F/5 ( download)
Download or read book A Characterization of Differential Operators on Locally Compact Abelian Groups written by Martin Engert and published by . This book was released on 1965 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Engert
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (17 download)
Download or read book ˜Aœ Characterization of differential operations on locally compact Abelian groups written by Martin Engert and published by . This book was released on 1965 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. van den Berg
Publisher : Springer Science & Business Media
ISBN 13 : 3642661289
Total Pages : 205 pages
Book Rating : 4.6/5 (426 download)
Download or read book Potential Theory on Locally Compact Abelian Groups written by C. van den Berg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical potential theory can be roughly characterized as the study of Newtonian potentials and the Laplace operator on the Euclidean space JR3. It was discovered around 1930 that there is a profound connection between classical potential 3 theory and the theory of Brownian motion in JR . The Brownian motion is determined by its semigroup of transition probabilities, the Brownian semigroup, and the connection between classical potential theory and the theory of Brownian motion can be described analytically in the following way: The Laplace operator is the infinitesimal generator for the Brownian semigroup and the Newtonian potential kernel is the" integral" of the Brownian semigroup with respect to time. This connection between classical potential theory and the theory of Brownian motion led Hunt (cf. Hunt [2]) to consider general "potential theories" defined in terms of certain stochastic processes or equivalently in terms of certain semi groups of operators on spaces of functions. The purpose of the present exposition is to study such general potential theories where the following aspects of classical potential theory are preserved: (i) The theory is defined on a locally compact abelian group. (ii) The theory is translation invariant in the sense that any translate of a potential or a harmonic function is again a potential, respectively a harmonic function; this property of classical potential theory can also be expressed by saying that the Laplace operator is a differential operator with constant co efficients.
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book A Generalisation to Locally Compact Abelian Groups of a Spectral Problem for Commuting Partial Differential Operators written by and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gennadiĭ Mikhaĭlovich Felʹdman
Publisher : European Mathematical Society
ISBN 13 : 3037190450
Total Pages : 1 pages
Book Rating : 4.0/5 (371 download)
Download or read book Functional Equations and Characterization Problems on Locally Compact Abelian Groups written by Gennadiĭ Mikhaĭlovich Felʹdman and published by European Mathematical Society. This book was released on 2008 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the characterization of probability distributions. It is well known that both the sum and the difference of two Gaussian independent random variables with equal variance are independent as well. The converse statement was proved independently by M. Kac and S. N. Bernstein. This result is a famous example of a characterization theorem. In general, characterization problems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions in these variables. In recent years, a great deal of attention has been focused upon generalizing the classical characterization theorems to random variables with values in various algebraic structures such as locally compact Abelian groups, Lie groups, quantum groups, or symmetric spaces. The present book is aimed at the generalization of some well-known characterization theorems to the case of independent random variables taking values in a locally compact Abelian group $X$. The main attention is paid to the characterization of the Gaussian and the idempotent distribution (group analogs of the Kac-Bernstein, Skitovich-Darmois, and Heyde theorems). The solution of the corresponding problems is reduced to the solution of some functional equations in the class of continuous positive definite functions defined on the character group of $X$. Group analogs of the Cramer and Marcinkiewicz theorems are also studied. The author is an expert in algebraic probability theory. His comprehensive and self-contained monograph is addressed to mathematicians working in probability theory on algebraic structures, abstract harmonic analysis, and functional equations. The book concludes with comments and unsolved problems that provide further stimulation for future research in the theory.
Author : P. E. T. Joergensen
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Generalization to Locally Compact Abelian Groups of a Spectral Problem for Commuting Partial Differential Operators written by P. E. T. Joergensen and published by . This book was released on 1980 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gennadiy Feldman
Publisher : American Mathematical Society
ISBN 13 : 1470472953
Total Pages : 253 pages
Book Rating : 4.4/5 (74 download)
Download or read book Characterization of Probability Distributions on Locally Compact Abelian Groups written by Gennadiy Feldman and published by American Mathematical Society. This book was released on 2023-04-07 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.
Author : Michael Ruzhansky
Publisher : Springer Science & Business Media
ISBN 13 : 3764385146
Total Pages : 712 pages
Book Rating : 4.7/5 (643 download)
Download or read book Pseudo-Differential Operators and Symmetries written by Michael Ruzhansky and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
Author : Sidney A. Morris
Publisher : Cambridge University Press
ISBN 13 : 0521215439
Total Pages : 141 pages
Book Rating : 4.5/5 (212 download)
Download or read book Pontryagin Duality and the Structure of Locally Compact Abelian Groups written by Sidney A. Morris and published by Cambridge University Press. This book was released on 1977-08-04 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 0817644423
Total Pages : 484 pages
Book Rating : 4.8/5 (176 download)
Download or read book Advanced Real Analysis written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2008-07-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician
Author : László Székelyhidi
Publisher : Springer Science & Business Media
ISBN 13 : 1402046375
Total Pages : 119 pages
Book Rating : 4.4/5 (2 download)
Download or read book Discrete Spectral Synthesis and Its Applications written by László Székelyhidi and published by Springer Science & Business Media. This book was released on 2007-01-25 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the situation over discrete Abelian groups with wide range applications. It covers classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups, giving unified treatment of several different problems. There is no other comprehensive work in this field. The book will be of interest to graduate students, research workers in harmonic analysis, spectral analysis, functional equations and hypergroups.
Author : Rodney Nillsen
Publisher : Springer
ISBN 13 : 3540486526
Total Pages : 198 pages
Book Rating : 4.5/5 (44 download)
Download or read book Difference Spaces and Invariant Linear Forms written by Rodney Nillsen and published by Springer. This book was released on 2006-11-15 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.
Author : Martin Engert
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.X/5 (1 download)
Download or read book Differential Operators on Groups written by Martin Engert and published by . This book was released on 1968 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : U.G. Kurbatov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792356240
Total Pages : 462 pages
Book Rating : 4.3/5 (562 download)
Download or read book Functional Differential Operators and Equations written by U.G. Kurbatov and published by Springer Science & Business Media. This book was released on 1999-04-30 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with linear functional differential equations and operator theory methods for their investigation. The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility. Audience: This monograph will be of interest to students and researchers working in functional differential equations and operator theory and is recommended for graduate level courses.
Author : David L. Armacost
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (44 download)
Download or read book The Structure of Locally Compact Abelian Groups written by David L. Armacost and published by . This book was released on 1981 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Bendikov
Publisher : Walter de Gruyter
ISBN 13 : 9783110142839
Total Pages : 200 pages
Book Rating : 4.1/5 (428 download)
Download or read book Potential Theory on Infinite-dimensional Abelian Groups written by Alexander Bendikov and published by Walter de Gruyter. This book was released on 1995 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
