Download or read book Some Translation invariant Spaces of Functions on Topological Groups written by Enrique Julio Risler and published by . This book was released on 1971 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant Means on Function Spaces on Semitopological Semigroups microform written by Brian Edmund Forrest and published by National Library of Canada. This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A semigroup S together with a Hausdorff topology T which makes multiplication separately continuous is called a semitopological semigroup. If F is a right translation invariant subspace of continuous bounded complex-valued functions on S, then a right invariant mean on F is a positive element of norm 1 in the dual F* of F which is also invariant with respect to right translation of elements in F. In this thesis we examine conditions for and consequences of the existence of right invariant means on certain special subspaces of continuous bounded functions. The first half of the thesis is concerned with a number of geometric properties which stem from the existence of right invariant means. In particular, we prove a generalization of a Hahn-Banach type extension theorem due to Silverman and give a new proof of a geometric property of Glicksberg. We exhibit a number of conditions equivalent to the existence of right invariant means and apply these results to the representation of groups. The second half of the thesis demonstrates the importance of the structure of right ideals of a semigroup in determining whether certain function spaces will admit right invariant means. We also look at right thick subsets and, using a result of Mitchell's establish a condition under which a semigroup will contain a right ideal which is also a group.

Download or read book A Course on Topological Groups written by K. Chandrasekharan and published by Springer. This book was released on 1996-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convolution Type Functional Equations on Topological Abelian Groups written by L szl¢ Sz‚kelyhidi and published by World Scientific. This book was released on 1991 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.

Download or read book Analysis on Semigroups written by John F. Berglund and published by Wiley-Interscience. This book was released on 1989-05-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment of analysis on semigroups stresses the functional analytical and dynamical theory of continuous representations of semitopological semigroups. Topics covered include compact semitopological semigroups, invariant means and idempotent means on compact semitopological semigroups, affine compactifications, left multiplicatively continuous functions and weakly left continuous functions, compactifications of infinite direct products, and weakly almost periodic semigroups of Markov operators. Contains over 200 exercises, from simple applications and examples to further developments of the theory.

Download or read book Difference Spaces and Invariant Linear Forms written by Rodney Nillsen and published by Springer. This book was released on 2006-11-15 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.

Download or read book Very Weak and Strong Translation invariant Normed Kothe Spaces on Topological Groups written by Enrique Julio Risler and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariants for Real Generated Uniform Topological and Algebraic Categories written by K. A. Broughan and published by Springer. This book was released on 2006-11-14 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convolution Type Functional Equations On Topological Abelian Groups written by Laszlo Szekelyhidi and published by World Scientific. This book was released on 1991-04-22 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.

Download or read book Weakly Almost Periodic Functions on Semigroups written by R. B. Burckel and published by M.E. Sharpe. This book was released on 1970 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Shift invariant Uniform Algebras on Groups written by Suren A. Grigoryan and published by Springer Science & Business Media. This book was released on 2006-08-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on the theory of shift-invariant algebras is the first monograph devoted entirely to an outgrowth of the established theory of generalized analytic functions on compact groups. Associated subalgebras of almost periodic functions of real variables and of bonded analytic functions on the unit disc are carried along within the general framework.

Download or read book Introduction to Banach Algebras Operators and Harmonic Analysis written by H. Garth Dales and published by Cambridge University Press. This book was released on 2003-11-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.

Download or read book Invariant Means on Topological Groups and Their Applications written by Frederick P. Greenleaf and published by . This book was released on 1969 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Excursions in Harmonic Analysis Volume 1 written by Travis D Andrews and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Download or read book Analysis On Infinite dimensional Lie Groups And Algebras Proceedings Of The International Colloquium written by Jean Marion and published by World Scientific. This book was released on 1998-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

Download or read book Vector valued Means and Their Applications in Some Vector valued Function Spaces written by Chuanyi Zhang and published by . This book was released on 1994 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: