Sequences, Summability and Fourier Analysis
Sequences, Summability and Fourier Analysis

Author: S. Nanda

Publisher: Alpha Science Int'l Ltd.

Published: 2005

Total Pages: 234

ISBN-13: 9788173196027

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Sequences, Summability and Fourier Analysis deals with various aspects of summability, a major branch of analysis. The subject grew extensively during the twentieth century through the contribution of eminent analysts, but there are numerous unsolved problems, which still baffle the present-day scholars, as the application side has been poorly attended to. This volume contains original research articles, many valuable survey articles on approximation theory, multivalent functions, almost convergence and absolute almost convergence, Tauberian theorems, Köthe-Toeplitz duals of sequence spaces, random Fourier series, stochastic integrals, interpolative subspaces of Banach space, metric transformations in sequence spaces, absolute summability and Nörlund summability.

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis
Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

Author: Charles W Swartz

Publisher: World Scientific

Published: 1996-08-22

Total Pages: 222

ISBN-13: 9814498718

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These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.

Matrix Theory
Matrix Theory

Author: Hassan Yasser

Publisher: BoD – Books on Demand

Published: 2018-08-29

Total Pages: 98

ISBN-13: 1789234662

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This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties.

Functional Analysis and Operator Theory
Functional Analysis and Operator Theory

Author: B.S. Yadav

Publisher: Springer

Published: 2006-11-14

Total Pages: 230

ISBN-13: 3540470417

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From the Contents: A. Lambert: Weighted shifts and composition operators on L2; - A.S.Cavaretta/A.Sharma: Variation diminishing properties and convexityfor the tensor product Bernstein operator; - B.P. Duggal: A note on generalised commutativity theorems in the Schatten norm; - B.S.Yadav/D.Singh/S.Agrawal: De Branges Modules in H2(Ck) of the torus; - D. Sarason: Weak compactness of holomorphic composition operators on H1; - H.Helson/J.E.McCarthy: Continuity of seminorms; - J.A. Siddiqui: Maximal ideals in local Carleman algebras; - J.G. Klunie: Convergence of polynomials with restricted zeros; - J.P. Kahane: On a theorem of Polya; - U.N. Singh: The Carleman-Fourier transform and its applications; - W. Zelasko: Extending seminorms in locally pseudoconvex algebras.

Proceedings of the Fifth International Conference on Mathematics and Computing
Proceedings of the Fifth International Conference on Mathematics and Computing

Author: Debasis Giri

Publisher: Springer Nature

Published: 2020-11-25

Total Pages: 281

ISBN-13: 9811554110

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This book features selected papers from the 5th International Conference on Mathematics and Computing (ICMC 2019), organized by the School of Computer Engineering, Kalinga Institute of Industrial Technology Bhubaneswar, India, on February 6 – 9, 2019. Covering recent advances in the field of mathematics, statistics and scientific computing, the book presents innovative work by leading academics, researchers and experts from industry.