Download or read book Carleman s Formulas in Complex Analysis written by L.A. Aizenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).
Download or read book Linear and Complex Analysis Problem Book 3 written by and published by . This book was released on 1994 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear and Complex Analysis Problem Book 3 written by Victor P. Havin and published by Springer. This book was released on 1994-04-28 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and methodological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
Download or read book Doklady written by and published by . This book was released on 1995 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reviews in Complex Analysis 1980 86 written by and published by . This book was released on 1989 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Carleman Inequalities written by Nicolas Lerner and published by Springer. This book was released on 2019-05-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
Download or read book Topics in Complex Analysis written by Piotr Jakóbczak and published by . This book was released on 1995 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cauchy Problem for Solutions of Elliptic Equations written by Nikolaĭ Nikolaevich Tarkhanov and published by De Gruyter Akademie Forschung. This book was released on 1995 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an attempt to bring together various topics in partial differential equations related to the Cauchy problem for solutions of an elliptic equation. Ever since Hadamard, the Cauchy problem for solutions of elliptic equations has been known to be ill-posed.
Download or read book Russian Mathematics written by and published by . This book was released on 2001 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied and Computational Complex Analysis Volume 3 written by Peter Henrici and published by Wiley-Interscience. This book was released on 1986-01-17 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Download or read book Siberian Mathematical Journal written by and published by . This book was released on 1988 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Analysis written by Carlos A. Berenstein and published by . This book was released on 1987 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nine Lectures on Complex Analysis written by Aldo Andreotti and published by . This book was released on 1972 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations written by Ali Seif Mshimba and published by World Scientific Publishing Company. This book was released on 1990 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Analysis and Its Applications to Partial Differential Equations written by Wolfgang Tutschke and published by . This book was released on 1984 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1968 with total page 1182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
