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Complex Analysis: A Functional Analytic Approach, Friedrich Haslinger


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Автор: Friedrich Haslinger
Название:  Complex Analysis: A Functional Analytic Approach
ISBN: 9783110417234
Издательство: Walter de Gruyter
Классификация:


ISBN-10: 3110417235
Обложка/Формат: Paperback
Страницы: 347
Вес: 0.56 кг.
Дата издания: 23.11.2017
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 19
Читательская аудитория: College/higher education
Ключевые слова: Calculus & mathematical analysis,Complex analysis, complex variables,Functional analysis & transforms, MATHEMATICS / Complex Analysis,MATHEMATICS / Functional Analysis
Поставляется из: Германии
Описание: In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Frechet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. ContentsComplex numbers and functionsCauchy’s Theorem and Cauchy’s formulaAnalytic continuationConstruction and approximation of holomorphic functionsHarmonic functionsSeveral complex variablesBergman spacesThe canonical solution operator to Nuclear Frechet spaces of holomorphic functionsThe -complexThe twisted -complex and Schrodinger operators


Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

Автор: Kevin Broughan
Название: Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents
ISBN: 1107197120 ISBN-13(EAN): 9781107197121
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: This two-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 2 covers equivalents with a strong analytic orientation and is supported by an extensive set of appendices.

Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic

Автор: Broughan Kevin
Название: Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic
ISBN: 110719704X ISBN-13(EAN): 9781107197046
Издательство: Cambridge Academ
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Цена: 19325.00 р.
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Описание: This two-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 1 presents classical and modern arithmetic equivalents, with some analytic methods. Accompanying software is freely available online.

Handbook of Analytic Operator Theory

Автор: Kehe Zhu
Название: Handbook of Analytic Operator Theory
ISBN: 1138486418 ISBN-13(EAN): 9781138486416
Издательство: Taylor&Francis
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Цена: 26796.00 р.
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Описание: This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators.

Non-Commutative Analysis

Автор: Jorgensen Palle Et Al
Название: Non-Commutative Analysis
ISBN: 9813202114 ISBN-13(EAN): 9789813202115
Издательство: World Scientific Publishing
Цена: 28512.00 р.
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Описание: The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.)

Non-Commutative Analysis

Автор: Jorgensen Palle Et Al
Название: Non-Commutative Analysis
ISBN: 9813202122 ISBN-13(EAN): 9789813202122
Издательство: World Scientific Publishing
Цена: 11563.00 р.
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Описание: 'This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent research. For such a reader there is also historical information included and many comments aiming at an overview. It is inspiring and original how old material is combined and mixed with new material. There is always something unexpected included in each chapter, which one is thankful to see explained in this context and not only in research papers which are more difficult to access.'Mathematical Reviews ClippingsThe book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret 'non-commutative analysis' broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.)A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras.The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.

Friendly Approach To Complex Analysis, A

Автор: Sasane Amol Et Al
Название: Friendly Approach To Complex Analysis, A
ISBN: 9814578991 ISBN-13(EAN): 9789814578998
Издательство: World Scientific Publishing
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Цена: 5544.00 р.
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Описание: The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions.Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.

Beginning Functional Analysis

Автор: Saxe Karen
Название: Beginning Functional Analysis
ISBN: 0387952241 ISBN-13(EAN): 9780387952246
Издательство: Springer
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Цена: 8384.00 р.
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Описание: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces.

Functional Analysis for Probability and Stochastic Processes: An Introduction

Автор: Adam Bobrowski
Название: Functional Analysis for Probability and Stochastic Processes: An Introduction
ISBN: 0521831660 ISBN-13(EAN): 9780521831666
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: This text is designed both for students of probability and stochastic processes, and for students of functional analysis. Numerous standard and non-standard examples and exercises make it suitable for both a textbook for a course as well as for self-study.

Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School

Автор: Martin-Reyes Francisco Javier Et Al
Название: Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School
ISBN: 9813147636 ISBN-13(EAN): 9789813147638
Издательство: World Scientific Publishing
Цена: 14414.00 р.
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Описание: This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.

Classical Complex Analysis: A Geometric Approach (Volume 2)

Автор: Lin I-Hsiung
Название: Classical Complex Analysis: A Geometric Approach (Volume 2)
ISBN: 9814271284 ISBN-13(EAN): 9789814271288
Издательство: World Scientific Publishing
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Цена: 20909.00 р.
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Описание: The Riemann mapping theorem is proved and used in solving Dirichlet`s problem for an open disk and, hence, a class of general domains via Perron`s method. Finally, proof of the uniformization theorem of Riemann surfaces is given. This book emphasizes geometric aspects of analytic functions.

A Friendly Approach to Functional Analysis

Автор: Sasane Amol
Название: A Friendly Approach to Functional Analysis
ISBN: 1786343339 ISBN-13(EAN): 9781786343338
Издательство: World Scientific Publishing
Цена: 15523.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 'The book is unusual among functional analysis books in devoting a lot of space to the derivative. The friendly (TM) aspect promised in the title is not explained, but there are three things I think would strike most students as friendly: the slow pace, the enormous number of examples, and complete solutions to all the exercises.'MAA ReviewsThis book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study.A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics.

A Friendly Approach to Functional Analysis

Автор: Sasane Amol
Название: A Friendly Approach to Functional Analysis
ISBN: 1786343347 ISBN-13(EAN): 9781786343345
Издательство: World Scientific Publishing
Рейтинг:
Цена: 8870.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 'The book is unusual among functional analysis books in devoting a lot of space to the derivative. The friendly (TM) aspect promised in the title is not explained, but there are three things I think would strike most students as friendly: the slow pace, the enormous number of examples, and complete solutions to all the exercises.'MAA ReviewsThis book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study.A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics.


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