Vector-valued function and distribution spaces on the torus

Vector-valued function and distribution spaces on the torus PDF Author: Barraza Martínez,Bienvenido
Publisher: Universidad del Norte
ISBN: 9587890647
Category : Mathematics
Languages : es
Pages : 124

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Book Description
This book contains part of the results of a research project funded by Colciencias and executed by the research group Grupo de Investigación en Matemáticas Uninorte (Colombia, and contains details of properties, which are satis ed by certain spaces of vector value functions and distributions de ned on the n dimensional torus. In particular, the text addresses an introductory study of the toroidal Besov spaces, which appear in many applications to partial di erential equations with periodic conditions and in harmonic analysis. This work can be very useful for undergraduate and graduate students in Mathematics as well as for researchers interested in the topics mentioned above.

Vector-valued function and distribution spaces on the torus

Vector-valued function and distribution spaces on the torus PDF Author: Barraza Martínez,Bienvenido
Publisher: Universidad del Norte
ISBN: 9587890647
Category : Mathematics
Languages : es
Pages : 124

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Book Description
This book contains part of the results of a research project funded by Colciencias and executed by the research group Grupo de Investigación en Matemáticas Uninorte (Colombia, and contains details of properties, which are satis ed by certain spaces of vector value functions and distributions de ned on the n dimensional torus. In particular, the text addresses an introductory study of the toroidal Besov spaces, which appear in many applications to partial di erential equations with periodic conditions and in harmonic analysis. This work can be very useful for undergraduate and graduate students in Mathematics as well as for researchers interested in the topics mentioned above.

Spaces of Vector-Valued Continuous Functions

Spaces of Vector-Valued Continuous Functions PDF Author: J. Schmets
Publisher:
ISBN: 9783662187609
Category :
Languages : en
Pages : 128

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Book Description


Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori

Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori PDF Author: Xiao Xiong
Publisher: American Mathematical Soc.
ISBN: 1470428067
Category : Mathematics
Languages : en
Pages : 130

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Book Description
This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative -torus (with a skew symmetric real -matrix). These spaces share many properties with their classical counterparts. The authors prove, among other basic properties, the lifting theorem for all these spaces and a Poincaré type inequality for Sobolev spaces.

Spaces of Vector-Valued Continuous Functions

Spaces of Vector-Valued Continuous Functions PDF Author: J. Schmets
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 132

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Book Description


Integral Methods in Science and Engineering

Integral Methods in Science and Engineering PDF Author: Christian Constanda
Publisher: Springer Nature
ISBN: 303134099X
Category : Mathematics
Languages : en
Pages : 407

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Book Description
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.

Vector-Valued Functions and their Applications

Vector-Valued Functions and their Applications PDF Author: Chuang-Gan Hu
Publisher: Springer
ISBN: 9780792316053
Category : Mathematics
Languages : en
Pages : 176

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Book Description
This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables. The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included. This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.

Topological Vector Spaces, Distributions and Kernels

Topological Vector Spaces, Distributions and Kernels PDF Author:
Publisher: Academic Press
ISBN: 0080873375
Category : Mathematics
Languages : en
Pages : 583

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Book Description
Topological Vector Spaces, Distributions and Kernels

Narrow Operators on Function Spaces and Vector Lattices

Narrow Operators on Function Spaces and Vector Lattices PDF Author: Mikhail Popov
Publisher: Walter de Gruyter
ISBN: 3110263343
Category : Mathematics
Languages : en
Pages : 336

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Book Description
Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

Theory of Function Spaces

Theory of Function Spaces PDF Author: Hans Triebel
Publisher: Springer Science & Business Media
ISBN: 3034604165
Category : Science
Languages : en
Pages : 287

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Book Description
The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

On the Geometry of Spaces of Vector-valued Functions and Some Other Results in Analysis

On the Geometry of Spaces of Vector-valued Functions and Some Other Results in Analysis PDF Author: Jan David Hardtke
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description