Download or read book Characterization of C x among its Subalgebras written by R. B. Burckel and published by CRC Press. This book was released on 2020-11-26 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Characterization of C x among its Subalgebras written by R. B. Burckel and published by CRC Press. This book was released on 1972-10-01 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Boolean Algebras in Analysis written by D.A. Vladimirov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book nonlinear analysis and applications written by Singh and published by CRC Press. This book was released on 2020-10-29 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Advances in Analysis and Geometry written by Tao Qian and published by Birkhäuser. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Advanced Signal Analysis with Applications written by Harish Parthasarathy and published by I K International Pvt Ltd. This book was released on 2011-04-01 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Clifford Analysis and Its Applications written by F. Brackx and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Non Commutative Harmonic Analysis and Lie Groups written by J. Carmona and published by Springer. This book was released on 2006-11-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Spectral methods in infinite dimensional analysis 1 1995 written by I︠U︡riĭ Makarovich Berezanskiĭ and published by Springer Science & Business Media. This book was released on 1994 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Geometric Analysis written by Monika Ludwig and published by Springer Science & Business Media. This book was released on 2013-03-27 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Modern Real and Complex Analysis written by Bernard R. Gelbaum and published by John Wiley & Sons. This book was released on 2011-02-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.

Download or read book Harmonic Analysis on Semi Simple Lie Groups I written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of locally compact groups has been vig orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi tion; a reference of the form A2.

Download or read book Harmonic Analysis Group Representations Automorphic Forms and Invariant Theory written by Jian-Shu Li and published by World Scientific. This book was released on 2007 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications.

Download or read book Hypercomplex Analysis and Applications written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2010-12-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.

Download or read book A Guide to Advanced Real Analysis written by G. B. Folland and published by American Mathematical Soc.. This book was released on 2014-05-14 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to the core material in a graduate level real analysis course.

Download or read book Analysis and Probability written by Aurel Spataru and published by Newnes. This book was released on 2013-01-12 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields. Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples. Provides multiple clearly worked exercises with complete proofs. Guides readers through examples so they can understand and write research papers independently.

Download or read book New Trends In Stochastic Analysis Proceedings Of The Tanaguchi International Symposium written by Elworthy K David and published by World Scientific. This book was released on 1997-05-05 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in semi-automated high-throughput image data collection routines, coupled with a decline in storage costs and an increase in high-performance computing solutions have led to an exponential surge in data collected by biomedical scientists and medical practitioners. Interpreting this raw data is a challenging task, and nowhere is this more evident than in the field of opthalmology. The sheer speed at which data on cataracts, diabetic retinopathy, glaucoma and other eye disorders are collected, makes it impossible for the human observer to directly monitor subtle, yet critical details.This book is a novel and well-timed endeavor to present, in an amalgamated format, computational image modeling methods as applied to various extrinsic scientific problems in ophthalmology. It is self-contained and presents a highly comprehensive array of image modeling algorithms and methodologies relevant to ophthalmologic problems. The book is the first of its kind, bringing eye imaging and multi-dimensional hyperspectral imaging and data fusion of the human eye, into focus.The editors are at the top of their fields and bring a strong multidisciplinary synergy to this visionary volume. Their “inverted-pyramid” approach in presenting the content, and focus on core applications, will appeal to students and practitioners in the field.