Interpolation and Sampling in Spaces of Analytic Functions PDF Download

Author: Kristian Seip
Publisher: American Mathematical Soc.
ISBN: 0821835548
Category : Mathematics
Languages : en
Pages : 153

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Book Description
Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an

Author: Jerrold E. Marsden
Publisher: Springer Science & Business Media
ISBN: 0817644199
Category : Mathematics
Languages : en
Pages : 666

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Book Description
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics

Author: Karen M. Brucks
Publisher: Cambridge University Press
ISBN: 9780521547666
Category : Mathematics
Languages : en
Pages : 316

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Book Description
One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Category : Mathematics
Languages : en
Pages : 244

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Book Description
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

Author: George Boros
Publisher: Cambridge University Press
ISBN: 9780521796361
Category : Mathematics
Languages : en
Pages : 326

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Book Description
This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

Author: Jerrold E. Marsden
Publisher: Springer
ISBN: 3540724702
Category : Mathematics
Languages : en
Pages : 527

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Book Description
This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.

Author: Mariano Giaquinta
Publisher: Springer Science & Business Media
ISBN: 0817644148
Category : Mathematics
Languages : en
Pages : 399

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Book Description
* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

Author: A. J. Van Der Poorten
Publisher: American Mathematical Soc.
ISBN: 0821833537
Category : Mathematics
Languages : en
Pages : 410

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Book Description
This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory.

Author: K. Böröczky
Publisher: Cambridge University Press
ISBN: 9780521801577
Category : Mathematics
Languages : en
Pages : 406

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Book Description
This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644490
Category : Mathematics
Languages : en
Pages : 336

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Book Description
* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory