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Author : Ernest William Hobson
Publisher : Unknown
Page : 784 pages
File Size : 46,5 Mb
Release : 1957
Category : Fourier series
ISBN : UCAL:B3976552
Author : E. W. Hobson
Publisher : Unknown
Page : 780 pages
File Size : 54,5 Mb
Release : 1926
Category : Electronic
ISBN : OCLC:802797827
Author : ERNEST WILLIAM. HOBSON
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 2018
Category : Electronic
ISBN : 1033236136
Author : R. L. Jeffery
Publisher : Dover Publications
Page : 260 pages
File Size : 46,5 Mb
Release : 1985
Category : Functions of Real Variables
ISBN : UOM:49015000681669
Author : E. W. Hobson
Publisher : Unknown
Page : 726 pages
File Size : 45,9 Mb
Release : 1950
Category : Fourier series
ISBN : OCLC:1023043825
Author : A. F. Timan
Publisher : Elsevier
Page : 644 pages
File Size : 40,5 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9781483184814
Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.
Author : Ernst William Hobson
Publisher : Unknown
Page : 702 pages
File Size : 45,5 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:749574803
Author : I.P. Natanson
Publisher : Courier Dover Publications
Page : 545 pages
File Size : 46,9 Mb
Release : 2016-08-17
Category : Mathematics
ISBN : 9780486806433
Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.
Author : Boris Zakharovich Vulikh
Publisher : Unknown
Page : 368 pages
File Size : 41,9 Mb
Release : 1976
Category : Mathematics
ISBN : UOM:39015065682216
Author : Philip Franklin
Publisher : Courier Dover Publications
Page : 611 pages
File Size : 41,8 Mb
Release : 2016-08-17
Category : Mathematics
ISBN : 9780486807072
This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 55,7 Mb
Release : 2004
Category : Mathematics
ISBN : 081764329X
This concise real analysis handbook takes into account the fundamentals of the classical theory of the subject and sheds light on its significant applications to differential equations and Fourier analysis. It de-emphasizes proofs and instead stresses concepts, examples and insights.
Author : Alberto Torchinsky
Publisher : Elsevier
Page : 474 pages
File Size : 46,7 Mb
Release : 2016-06-03
Category : Mathematics
ISBN : 9781483268880
Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.
Author : Aleksandr Filippovich Timan
Publisher : Unknown
Page : 652 pages
File Size : 48,9 Mb
Release : 1963
Category : Functions of real variables
ISBN : UOM:39015077907973
Author : John Meigs Hubbell Olmsted
Publisher : Unknown
Page : 646 pages
File Size : 47,5 Mb
Release : 1959
Category : Functions of real variables
ISBN : UOM:39015049303483
Author : S. Coen
Publisher : Routledge
Page : 520 pages
File Size : 40,9 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351445283
This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.
