4 edition of Quasipower series and quasianalytic classes of functions found in the catalog.
Includes bibliographical references (p. 181-183)
|Series||Translations of mathematical monographs -- v. 216.|
|LC Classifications||QA295 .B2413 2002|
|The Physical Object|
|Pagination||xiii, 183 p. :|
|Number of Pages||183|
|LC Control Number||2002034246|
tool in harmonic analysis. This book is an expanded version of a set of lecture notes written 5 Fourier series of square summable functions 28 V Lacunary Series and Quasi-analytic Classes Lecture Notes on O-Minimal Structures and Real Analytic Geometry (Fields Institute Communications) Jean-Philippe Rolin on the construction of o-minimal structures from quasianalytic classes; Fernando Sanz on non-oscillatory trajectories of vector fields; and Patrick Speissegger on pfaffian sets. to the nonstandard setting of A.J. Wilkie Format: Paperback.
Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! But avoid Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical Edition: 1.
ki, ski, , On a class of translation-invariant spaces of quasianalytic ultradistributions, Novi Sad J. Math. 45 (), , , An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms, Novi Sad J. Math. 45 (), Full text Full text is available as a scanned copy of the original print version. Get a printable copy (PDF file) of the complete article (K), or click on a page image below to browse page by by: 2.
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In order to answer that question, Badalyan combines a study of expanding functions in generalized factorial series with a study of quasipower series.
The theory of quasipower series and its application to the reconstruction problem are explained in detail in this research monograph.
Quasipower series --Functions of Carleman's classes: expansion in quasipower series --Criteria for the possibility of expanding functions in quasipower and factorial series --Generalized completely monotone functions and the condition for absolute convergence of a quasipower series (in the basic interval) --On the use of quasipower series for representation of analytic functions in non-circular domains --Some applications of quasipower series to the theory of functions.
Quasipower series Functions of Carleman's classes: Expansion in quasipower series Criteria for the possibility of expanding functions in quasipower and factorial series Generalized completely monotone functions and the condition for absolute convergence of a quasipower series (in the basic interval) On the use of quasipower series for representation of analytic functions in non-circular domains Some applications of quasipower series to the theory of functions of quasianalytic classes.
Park Y.S. () On Non Quasi-Analytic Classes of Functions and the Space of Whitney Jets of Class M. In: Begehr H.G.W., Gilbert R.P., Kajiwara J. (eds) Proceedings of the Second ISAAC Congress.
International Society for Analysis, Applications and Computation, vol : Young Sik Park. New Publications Offered by the AMS Analysis Quasipower Series and Quasianalytic Classes of Functions G.
Badalyan, Armenian Academy of Sciences, Armenia In this book, G.V. Badalyan addresses the fundamental problems of the theory of inﬁnitely-differentiable func-tions using the theory of functions of quasianalytic classes.
Quasianalytic classes of functions in a Jordan domainG are defined. We consider classes of functions defined by conditions imposed on the decrease rate of the best uniform polynomial approximations and investigate the dependence of the quasianalyticity of these classes on the geometric structure of a : V.
Maimeskul. Quasipower series and quasianalytic classes of functions / G.V. Badalyan. Providence, RI: American Mathematical Society, QA1.R39 no Lectures on division algebras / David J. Saltman. Providence, R.I.: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c QA3.L37 no Several classes of functions with zero integrals over all balls of a fixed radius are studied.
A description of functions in such classes as series in special functions is obtained and a theorem. Classes of Denjoy-Carleman diﬀerentiable functions are in general situated be-tween real analytic functions and smooth functions.
They are described by growth conditions on the derivatives. Quasianalytic classes are those where inﬁnite Taylor expansion is an injective mapping.
As in  and , we define the intersections E (M) (Ω), D (M) (K) and D (M) (Ω) of non quasi-analytic classes by means of a matrix M.
You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. A class defined on is called (Bernshtein) quasi-analytic if two functions of this class that are equal on some segment are necessarily equal on the whole of.
The class (2) is quasi-analytic in this sense. It should be noted that (2) does not imply that is infinitely differentiable (there are appropriate examples). 4 Distribution of zeros of entire functions; 5; Harmonic analysis of functions of several complex variables in the classical domains Quasipower series and quasianalytic classes of functions 8 No.
title. eISBN D-modules. First published inAn Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series.
The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions.
The text is a valuable source of data for readers Author: G. Shilov. This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of at the Fields Institute.
Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new. SERIES: Studies in economic design: CALL NUMBER: HB M CIMM Quasipower series and quasianalytic classes of functions / G.V.
Badalyan. PUBLISHER: Providence, RI: American Mathematical Society, AUTHOR: Ambrosio, Luigi. TITLE: Functions of bounded variation and free discontinuity problems / Luigi Ambrosio, Nicola Fusco. The Class of functions which are indefinitely diferentiable in the interval (0, 1) and whose successive derivatives satisfy the condition of limitation (C) qm function which increases constantly and without limit, is a class of quasi-analytic functions if the serie~ Ern or (what amounts to the same.
The inverse series of the Taylor series of a function in some quasi-analytic class is the Taylor series of a function in the same class.
Therefore, if g could be prepared in C 2, 0 M ˜, then P (t, x) would have to be the formal power series of an element in C 2, 0 M ˜, i.e.
a (x) would have to correspond to an element of C 1, 0 M Cited by: 6. We prove that some classes of functions defined on a compact set in the complex plane with planar Lebesgue measure zero, are non-quasianalytic. We particularly treat the Carleman classes and classes of functions having asymtotically holomorphic : Karim Kellay, Mohamed Zarrabi.
Boolean functions in coding theory and cryptography QA L Vol. Badalian, Gaik Vagarshakovich Quasipower series and quasianalytic classes of functions QA B Vol. Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi Number theory: Introduction to class field theory.Buy Complex Analysis & Complex Variables at WHSmith.
We have a great range of Complex Analysis & Complex Variables from top brands. Delivery is free on all UK orders over £ Some Classes of Functions Analytic on a Finite Segment Some Classes of Functions Analytic on the Whole Real Axis On Regularly Monotonie Functions On Quasi-Analytic Classes of Functions Conjugate Classes of Functions Defined on the Whole Real Axis Various Problems and Theorems Edition: 1.