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An Introduction to Special Functions
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensabl…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-41345-7
- Collation
- VIII, 168
- Series Title
- UNITEXT
- Call Number
- 515.5 VIO i
An Introduction to Modern Analysis
Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12481-0
- Collation
- XXXI, 863
- Series Title
- -
- Call Number
- 519.4 MON i
Non-Archimedean Operator Theory
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasi…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27322-8
- Collation
- XIII, 156
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
Nigel J. Kalton Selecta
This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18795-2
- Collation
- XIV, 771
- Series Title
- Contemporary Mathematicians
- Call Number
- -
Nigel J. Kalton Selecta Volume 2
This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18798-3
- Collation
- XIII, 777
- Series Title
- Contemporary Mathematicians
- Call Number
- -
An Introduction to Frames and Riesz Bases
This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the l…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-25613-9
- Collation
- XXV, 704
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- 515.7 CHR i
Writing Proofs in Analysis
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ind…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30967-5
- Collation
- -
- Series Title
- -
- Call Number
- -
An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functio…
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-16059-7
- Collation
- IX, 521
- Series Title
- -
- Call Number
- 515.7 ALP a
The Kadison-Singer Property
The book starts with an accessible introduction to the concept of states and continues with a detailed proof of the classification of maximal Abelian von Neumann algebras, a very explicit construction of the Stone-Cech compactification and an account of the recent proof of the Kadison-Singer problem. At the end accessible appendices provide the necessary background material.
- Edition
- -
- ISBN/ISSN
- 978-3-319-47702-2
- Collation
- X, 140
- Series Title
- SpringerBriefs in Mathematical Physics
- Call Number
- -
L² Approaches in Several Complex Variables: Development of Oka–Cartan Theo…
The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions. In Chapter 1, the classical questions of several complex variables motivating the de…
- Edition
- -
- ISBN/ISSN
- 978-4-431-55747-0
- Collation
- -
- Series Title
- -
- Call Number
- -
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