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| Author | : R. B. Burckel |
| Publisher | : CRC Press |
| Total Pages | : 182 |
| Release | : 1972-10-01 |
| Genre | : Mathematics |
| ISBN | : 9780824760380 |
This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables.
| Author | : D.A. Vladimirov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 614 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 940170936X |
Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.
| Author | : Singh |
| Publisher | : CRC Press |
| Total Pages | : 488 |
| Release | : 2020-10-29 |
| Genre | : Mathematics |
| ISBN | : 1000146154 |
This book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform.
| Author | : Ivan G. Todorov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 301 |
| Release | : 2013-10-25 |
| Genre | : Mathematics |
| ISBN | : 3034805020 |
This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011. The conference was held in honour of Professor Victor Shulman on the occasion of his 65th birthday. The papers included in the volume cover a large variety of topics, among them the theory of operator ideals, linear preservers, C*-algebras, invariant subspaces, non-commutative harmonic analysis, and quantum groups, and reflect recent developments in these areas. The book consists of both original research papers and high quality survey articles, all of which were carefully refereed.
| Author | : Tao Qian |
| Publisher | : Birkhäuser |
| Total Pages | : 380 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034878389 |
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
| Author | : Harish Parthasarathy |
| Publisher | : I K International Pvt Ltd |
| Total Pages | : 407 |
| Release | : 2011-04-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9381141096 |
This book is a sequel to the two previous books on signal analysis applications. The book applies the standard tools of signal analysis like differential calculus, probability theory, mechanism processes, partial differential equations, group theory and linear algebra to a variety of problems in physics and engineering that arise in practical applications. The book is a blend of theory and practices. In some problems, a new theoretical method is developed and in some others a well known theoretical method is applied to a new practical problem. The book will be of interest to theoretical and experimental physicists, engineers and applied mathematicians. Research students of applied mathematics and engineering will find the book extremely useful for providing new suggestions for existing problems and also for suggesting new research problems in their fields.
| Author | : F. Brackx |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 414 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401008620 |
In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.
| Author | : J. Carmona |
| Publisher | : Springer |
| Total Pages | : 192 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540387005 |
| Author | : I︠U︡riĭ Makarovich Berezanskiĭ |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 600 |
| Release | : 1994 |
| Genre | : Degree of freedom |
| ISBN | : 9780792328476 |
| Author | : Monika Ludwig |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 2013-03-27 |
| Genre | : Mathematics |
| ISBN | : 1461464064 |
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces * Concentration of measure and isoperimetric inequalities, optimal transportation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Random matrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciences—in particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science.
