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Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and …
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue proble…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-81162-8
- Collation
- X, 194
- Series Title
- -
- Call Number
- -
Topics in Banach Space Theory
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy appr…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-31555-3
- Collation
- XX, 508
- Series Title
- Graduate Texts in Mathematics
- Call Number
- -
Real Analysis
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. T…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30744-2
- Collation
- -
- Series Title
- -
- Call Number
- 001.4
Entropy Methods for Diffusive Partial Differential Equations
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of …
- Edition
- -
- ISBN/ISSN
- 978-3-319-34219-1
- Collation
- 1 illustrations in colour
- Series Title
- -
- Call Number
- -
A Cp-Theory Problem Book: Compactness in Function Spaces
This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide var…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16092-4
- Collation
- -
- Series Title
- Problem Books in Mathematics
- Call Number
- 512 TKA a
A Concise Introduction to Analysis
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24469-3
- Collation
- -
- Series Title
- -
- Call Number
- 515.9 STR c
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- 1 b/w illustrations
- Series Title
- -
- Call Number
- -
Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- VIII, 218
- Series Title
- -
- Call Number
- -
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…
- Edition
- 1
- ISBN/ISSN
- 978-3-662-46844-9
- Collation
- VIII, 322
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Multivariate Wavelet Frames
This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet frames, which are commonly required by engineers. I…
- Edition
- 1
- ISBN/ISSN
- 978-981-10-3204-2
- Collation
- XIII, 248
- Series Title
- Industrial and Applied Mathematics
- Call Number
- -
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