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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…
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- ISBN/ISSN
- 978-4-431-55747-0
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- -
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Wavelet Transforms and Their Applications
This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and …
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- ISBN/ISSN
- 978-0-8176-8418-1
- Collation
- XV, 553
- Series Title
- -
- Call Number
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Extensions of Positive Definite Functions Applications and Their Harmonic An…
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some pres…
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- ISBN/ISSN
- 978-3-319-39780-1
- Collation
- 39 b/w illustrations, 9 illustrations in colour
- Series Title
- -
- Call Number
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The Callias Index Formula Revisited
These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much i…
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- ISBN/ISSN
- 978-3-319-29977-8
- Collation
- IX, 192
- Series Title
- Lecture Notes in Mathematics
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Exercises in Analysis Part 2: Nonlinear Analysis
This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and…
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- ISBN/ISSN
- 978-3-319-27817-9
- Collation
- VIII, 1062
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Advanced Calculus of a Single Variable
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are exp…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-27807-0
- Collation
- XII, 382
- Series Title
- -
- Call Number
- 515.4 GEV a
Multiplication Operators on the Bergman Space
This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study…
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- 1
- ISBN/ISSN
- 978-3-662-46844-9
- Collation
- VIII, 322
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Evolution PDEs with Nonstandard Growth Conditions Existence, Uniqueness, Loc…
This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided.…
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- ISBN/ISSN
- 978-94-6239-112-3
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- 1 b/w illustrations
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- -
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Modern Mathematical Methods and High Performance Computing in Science and Tec…
The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a ref…
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- 1
- ISBN/ISSN
- 978-981-10-9358-6
- Collation
- XXI
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
Ergodic Theory Independence and Dichotom
This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advance…
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- ISBN/ISSN
- 978-3-319-49847-8
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- XXXIV, 431
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- -
- Call Number
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