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Function Spaces and Potential Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 821/5 ( reviews)

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Book Synopsis Function Spaces and Potential Theory by : David R. Adams

Download or read book Function Spaces and Potential Theory written by David R. Adams. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

From Vector Spaces to Function Spaces

2012-10-31 Mathematics
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Release : 2012-10-31
Genre : Mathematics
Kind : eBook
Book Rating : 302/5 ( reviews)

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Book Synopsis From Vector Spaces to Function Spaces by : Yutaka Yamamoto

Download or read book From Vector Spaces to Function Spaces written by Yutaka Yamamoto. This book was released on 2012-10-31. Available in PDF, EPUB and Kindle. Book excerpt: A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

Linear Processes in Function Spaces

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 549/5 ( reviews)

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Book Synopsis Linear Processes in Function Spaces by : Denis Bosq

Download or read book Linear Processes in Function Spaces written by Denis Bosq. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this book is the estimation and forecasting of continuous time processes. It leads to a development of the theory of linear processes in function spaces. Mathematical tools are presented, as well as autoregressive processes in Hilbert and Banach spaces and general linear processes and statistical prediction. Implementation and numerical applications are also covered. The book assumes knowledge of classical probability theory and statistics.

Function Theory and ℓp Spaces

2020-05-28 Education
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Release : 2020-05-28
Genre : Education
Kind : eBook
Book Rating : 935/5 ( reviews)

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Book Synopsis Function Theory and ℓp Spaces by : Raymond Cheng

Download or read book Function Theory and ℓp Spaces written by Raymond Cheng. This book was released on 2020-05-28. Available in PDF, EPUB and Kindle. Book excerpt: The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.

Geometric Analysis and Function Spaces

1993-01-01 Mathematics
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Release : 1993-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)

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Book Synopsis Geometric Analysis and Function Spaces by : Steven George Krantz

Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz. This book was released on 1993-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

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