theory of hsuperscript p spaces pure and applied mathematics

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Theory Of H Superscript P Spaces

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ISBN : 0080873510
Genre : Mathematics
File Size : 55. 71 MB
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The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of view has suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling’s theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p

U S Government Research Development Reports

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ISBN : MINN:31951000874151A
Genre : Technology
File Size : 81. 72 MB
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U S Government Research Development Reports

Author : United States. National Technical Information Service
ISBN : UIUC:30112101037908
Genre : Reference
File Size : 73. 87 MB
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Government Reports Announcements

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ISBN : COLUMBIA:CU10088083
Genre : Technology
File Size : 26. 32 MB
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Government Reports Announcements Index

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ISBN : STANFORD:36105013141424
Genre : Science
File Size : 75. 32 MB
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Acid Base Equilibria

Author : Edward Jasper King
ISBN : UOM:39015003711580
Genre : Science
File Size : 36. 5 MB
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A Century Of Mathematics In America

Author : Peter L. Duren
ISBN : 0821801309
Genre : Mathematics
File Size : 79. 3 MB
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The first section of the book deals with some of the influential mathematics departments in the United States. Functioning as centers of research and training, these departments played a major role in shaping the mathematical life in this country. The second section deals with an extraordinary conference held at Princeton in 1946 to commemorate the university's bicentennial. The influence of women in American mathematics, the burgeoning of differential geometry in the last 50 years, and discussions of the work of von Karman and Weiner are among other topics covered. To download free chapters of this book, click here.

Introduction To Hp Spaces

Author : Paul Koosis
ISBN : 0521455219
Genre : Mathematics
File Size : 41. 91 MB
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The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). The intention was to give the reader, assumed to know basic real and complex variable theory and a little functional analysis, a secure foothold in the basic theory, and to understand its applications in other areas. For this reason, emphasis is placed on methods and the ideas behind them rather than on the accumulation of as many results as possible. The second edition retains that intention, but the coverage has been extended. The author has included two appendices by V. P. Havin, on Peter Jones' interpolation formula, and Havin's own proof of the weak sequential completeness of L1/H1(0); in addition, numerous amendments, additions and corrections have been made throughout.

Python For Signal Processing

Author : José Unpingco
ISBN : 9783319013428
Genre : Technology & Engineering
File Size : 24. 4 MB
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This book covers the fundamental concepts in signal processing illustrated with Python code and made available via IPython Notebooks, which are live, interactive, browser-based documents that allow one to change parameters, redraw plots, and tinker with the ideas presented in the text. Everything in the text is computable in this format and thereby invites readers to “experiment and learn” as they read. The book focuses on the core, fundamental principles of signal processing. The code corresponding to this book uses the core functionality of the scientific Python toolchain that should remain unchanged into the foreseeable future. For those looking to migrate their signal processing codes to Python, this book illustrates the key signal and plotting modules that can ease this transition. For those already comfortable with the scientific Python toolchain, this book illustrates the fundamental concepts in signal processing and provides a gateway to further signal processing concepts.

Optimality Conditions Abnormal And Degenerate Problems

Author : Aram Arutyunov
ISBN : 9789401594387
Genre : Mathematics
File Size : 35. 98 MB
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This book is devoted to one of the main questions of the theory of extremal prob lems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimiza tion problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathemati cal programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the optimal control problem. In the third chapter we study one of the main objects of the calculus of variations, the integral quadratic form. In the concluding, fourth, chapter we study local properties of smooth nonlinear mappings in a neighborhood of an abnormal point. The problems which are studied in this book (of course, in addition to their extremal nature) are united by our main interest being in the study of the so called abnormal or degenerate problems. This is the main distinction of the present book from a large number of books devoted to theory of extremal problems, among which there are many excellent textbooks, and books such as, e.g., [13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a few.

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