Complex Analysis and Dynamical Systems II

Complex Analysis and Dynamical Systems II PDF Author: Lawrence Allen Zalcman
Publisher: American Mathematical Soc.
ISBN: 0821837095
Category : Mathematics
Languages : en
Pages : 456

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Book Description
This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.

Complex Analysis and Dynamical Systems II

Complex Analysis and Dynamical Systems II PDF Author: Lawrence Allen Zalcman
Publisher: American Mathematical Soc.
ISBN: 0821837095
Category : Mathematics
Languages : en
Pages : 456

Get Book Here

Book Description
This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.

q-Fractional Calculus and Equations

q-Fractional Calculus and Equations PDF Author: Mahmoud H. Annaby
Publisher: Springer
ISBN: 3642308988
Category : Mathematics
Languages : en
Pages : 333

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Book Description
This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann–Liouville; Grünwald–Letnikov; Caputo; Erdélyi–Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin–Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman’s results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.

My Life and Functions

My Life and Functions PDF Author: Walter K. Hayman
Publisher: Lulu.com
ISBN: 1326030205
Category : Biography & Autobiography
Languages : en
Pages : 154

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Book Description
This is the autobiography of Walter Kurt Hayman. Born in Germany in 1926, he came to Britain in 1938 to escape the Nazis. Educated at Gordonstoun School in Scotland and Cambridge, he was influenced by Mary Cartwright and J. E. Littlewood. He was elected to the Royal Society in 1956 and appointed Professor of Pure Mathematics at Imperial College, London. For over 30 years there he ran a world-famous school in Complex Analysis. He then spent 10 years at York before returning to Imperial College, where he is a Senior Research Fellow. He has received many prizes, awards and honorary degrees. Twice widowed, he now lives in Gloucestershire with his third wife, Marie. He gives a frank account of a life dominated by mathematics, music, friendship, family and service. There are 15 photographs, and a full list of his 218 publications to date. An index lists all persons mentioned in the text. This paperback edition is designed to be as affordable as possible. A hard-cover edition is also available.

Complex Analysis and Dynamical Systems VI

Complex Analysis and Dynamical Systems VI PDF Author: Matania Ben-Artzi
Publisher: American Mathematical Soc.
ISBN: 1470416530
Category : Mathematics
Languages : en
Pages : 352

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Book Description
This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Computational Methods and Function Theory

Computational Methods and Function Theory PDF Author:
Publisher:
ISBN:
Category : Geometric function theory
Languages : en
Pages : 702

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Book Description


Complex Analysis and Dynamical Systems VI

Complex Analysis and Dynamical Systems VI PDF Author: Lawrence Zalcman
Publisher: American Mathematical Soc.
ISBN: 1470417030
Category : Mathematics
Languages : en
Pages : 354

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Book Description
This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

Introduction to Radon Transforms

Introduction to Radon Transforms PDF Author: Boris Rubin
Publisher: Cambridge University Press
ISBN: 0521854598
Category : Mathematics
Languages : en
Pages : 595

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Book Description
A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 980

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Book Description


Spectral Analysis in Geometry and Number Theory

Spectral Analysis in Geometry and Number Theory PDF Author: Motoko Kotani
Publisher: American Mathematical Soc.
ISBN: 0821842692
Category : Mathematics
Languages : en
Pages : 363

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Book Description
This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.

Complex Analysis and Dynamical Systems

Complex Analysis and Dynamical Systems PDF Author: Mark Agranovsky
Publisher: Birkhäuser
ISBN: 3319701541
Category : Mathematics
Languages : en
Pages : 373

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Book Description
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.