Vector Valued Function And Distribution Spaces On The Torus PDF Download
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Author | : Barraza Martínez,Bienvenido |
Publisher | : Universidad del Norte |
Total Pages | : 124 |
Release | : 2019-04-15 |
Genre | : Mathematics |
ISBN | : 9587890647 |
Download Vector-valued function and distribution spaces on the torus Book in PDF, ePub and Kindle
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.
Author | : J. Schmets |
Publisher | : |
Total Pages | : 128 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662187609 |
Download Spaces of Vector-Valued Continuous Functions Book in PDF, ePub and Kindle
Author | : Xiao Xiong |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 2018-03-19 |
Genre | : Mathematics |
ISBN | : 1470428067 |
Download Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori Book in PDF, ePub and Kindle
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.
Author | : J. Schmets |
Publisher | : Lecture Notes in Mathematics |
Total Pages | : 132 |
Release | : 1983-07 |
Genre | : Mathematics |
ISBN | : |
Download Spaces of Vector-Valued Continuous Functions Book in PDF, ePub and Kindle
Author | : Christian Constanda |
Publisher | : Springer Nature |
Total Pages | : 407 |
Release | : 2023-10-31 |
Genre | : Mathematics |
ISBN | : 303134099X |
Download Integral Methods in Science and Engineering Book in PDF, ePub and Kindle
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.
Author | : Chuang-Gan Hu |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 1992-03-31 |
Genre | : Mathematics |
ISBN | : 9780792316053 |
Download Vector-Valued Functions and their Applications Book in PDF, ePub and Kindle
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.
Author | : |
Publisher | : Academic Press |
Total Pages | : 583 |
Release | : 1967-01-01 |
Genre | : Mathematics |
ISBN | : 0080873375 |
Download Topological Vector Spaces, Distributions and Kernels Book in PDF, ePub and Kindle
Topological Vector Spaces, Distributions and Kernels
Author | : Mikhail Popov |
Publisher | : Walter de Gruyter |
Total Pages | : 336 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3110263343 |
Download Narrow Operators on Function Spaces and Vector Lattices Book in PDF, ePub and Kindle
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.
Author | : François Treves |
Publisher | : Elsevier |
Total Pages | : 582 |
Release | : 2016-06-03 |
Genre | : Mathematics |
ISBN | : 1483223620 |
Download Topological Vector Spaces, Distributions and Kernels Book in PDF, ePub and Kindle
Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.
Author | : Hans Triebel |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2010-06-16 |
Genre | : Science |
ISBN | : 3034604165 |
Download Theory of Function Spaces Book in PDF, ePub and Kindle
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