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Measure Theory and Integration

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Series series Chapman & Hall/CRC Pure and Applied Mathematics
Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications.With more than 170 references for further ... Read more

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Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications.With more than 170 references for further
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Series series Mathematics and Statistics (R0)
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Topics in Contemporary Mathematical Analysis and Applications

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Series series Mathematics and its Applications
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Real Analysis

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Series series Textbooks in Mathematics
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This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results
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Semigroup Theory and Evolution Equations

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Series series Lecture Notes in Pure and Applied Mathematics
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Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for
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Series series Physics and Astronomy (R0)
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Qualitative Properties of Dispersive PDEs

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Series series Springer Nature Proceedings excluding Computer Science
This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS ... Read more

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This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS
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Vivemos em um paradoxo do século XXI: nunca estivemos tão conectados e, ao mesmo tempo, tão sozinhos. "Solidão Conectada: Navegando a Era Digital Entre Isolamento e Interação" mergulha nesse dilema contemporâneo, explorando como a tecnologia, as redes sociais, o trabalho remoto e até mesmo a pandemia transformaram a forma como nos relacionamos e sentimos a solidão. Mais do que uma crítica à era
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms ... Read more

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The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms
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Classification of Lipschitz Mappings

by Torrey M. Gallagher, Víctor Pérez-García, Łukasz Piasecki ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Classification of Lipschitz Mappings, Second Edition presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory, differential equations, ergodic theory, and dynamical systems, the book requires only a basic background ... Read more

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Classification of Lipschitz Mappings, Second Edition presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory, differential equations, ergodic theory, and dynamical systems, the book requires only a basic background
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Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

by Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang ...

Series series Mathematics and Statistics (R0)
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Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously
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Further Developments in Fractals and Related Fields

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Series series Mathematics and Statistics (R0)
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on ... Read more

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This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on
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Einführung in die Funktionalanalysis

by Christian Clason ...

Series series Life Science and Basic Disciplines (German Language)
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Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung.Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie und ist
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A Guide to Spectral Theory

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by Christophe Cheverry, Nicolas Raymond ...

Series series Mathematics and Statistics (R0)
This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students ... Read more

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This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students
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Functional Analysis: Entering Hilbert Space (Second Edition)

by Vagn Lundsgaard Hansen ...

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including ... Read more

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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including
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L² Approaches in Several Complex Variables

Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator

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Series series Mathematics and Statistics (R0)
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 ... Read more

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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
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Recommended For You

Functional Analysis eBooks

Measure Theory and Integration

Nonoscillation Theory of Functional Differential Equations with Applications

Topics in Contemporary Mathematical Analysis and Applications

Real Analysis

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Introducción a la teoría de conjuntos

Semigroup Theory and Evolution Equations

Double Sequence Spaces and Four-Dimensional Matrices

Functional Analysis for the Applied Sciences

Modern Real Analysis

Functional Dynamic Equations on Time Scales

Linear Response Theory

Quantum Theory for Mathematicians

Solving Numerical PDEs: Problems, Applications, Exercises

Qualitative Properties of Dispersive PDEs

Solidão Conectada: Navegando A Era Digital Entre Isolamento E Interação

Inequalities and Integral Operators in Function Spaces

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Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Further Developments in Fractals and Related Fields

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L² Approaches in Several Complex Variables