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Open Problems in the Geometry and Analysis of Banach Spaces
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-33571-1
- Collation
- XII, 169
- Series Title
- -
- Call Number
- -
Fixed Point Theory in Modular Function Spaces
This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in application…
- Edition
- -
- ISBN/ISSN
- 978-3-319-14051-3
- Collation
- X, 245 hlm.
- Series Title
- -
- Call Number
- -
Nonstandard Analysis for the Working Mathematician
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates th…
- Edition
- 1
- ISBN/ISSN
- 978-94-017-7326-3
- Collation
- XV, 481
- Series Title
- -
- Call Number
- -
Nonlocal Diffusion and Applications
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extens…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-28738-6
- Collation
- XII, 155
- Series Title
- Lecture Notes of the Unione Matematica Italiana
- Call Number
- -
Noncommutative Analysis, Operator Theory and Applications
This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory …
- Edition
- 1
- ISBN/ISSN
- 0255-0156
- Collation
- VII, 283
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
Analytic Methods in Interdisciplinary Applications
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing mo…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12148-2
- Collation
- X, 181
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 515.3 ANA a
Analysis on h-Harmonics and Dunkl Transforms
This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation the…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-0348-0887-3
- Collation
- VIII, 118
- Series Title
- Advanced Courses in Mathematics - CRM Barcelona
- Call Number
- 515.4 YUA a
Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued funct…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-48520-1
- Collation
- XVII, 614
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 519.2 ANA a
Analysis: From Concepts to Applications
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analys…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-32411-1
- Collation
- XXIII, 669
- Series Title
- Universitext
- Call Number
- 515.3 PEN a
An Introductory Course in Lebesgue Spaces
This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic an…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30034-4
- Collation
- XII, 461
- Series Title
- CMS Books in Mathematics
- Call Number
- 515.7 CAS i
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