Theory of H[superscript p] spaces PDF Download

Author:
Publisher: Academic Press
ISBN: 0080873510
Category : Mathematics
Languages : en
Pages : 277

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Book Description
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 viewhas 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

Author: Paul Urban
Publisher: Springer Science & Business Media
ISBN: 3709155665
Category : Science
Languages : en
Pages : 468

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Book Description
The great success of the experimental research on elementary particles and their qualities during the last years suggests giving a summary of the present situation also in the theoretical description of this important branch of physics. In spite of the precarious situation in this field of theoretical physics I believe I can fully account for this choice and must see that the number of participants and the general interest justify my opinion. In organizing the proceedings it was our prime concern to reduce the delay in editing and also keep down the price. This was possihle only through the assistance of the Springer-Verlag who chose photomechanical method working quicker and cheaper. Therefore we apologize for any mistakes and errors that may occur in the text and formulae. I am very indebted to my secretary, Miss A. SCHMALDIENST and one of my assistants, Dr. H. KÜHNELT, who did an the typing and correcting of the manu scripts with great patience and knowledge.

Author: Michael Friedman
Publisher: Princeton University Press
ISBN: 1400855128
Category : Science
Languages : en
Pages : 403

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This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author: Paweł Domański
Publisher:
ISBN:
Category : Locally convex spaces
Languages : en
Pages : 88

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Author: Ralph Walter Graystone Wyckoff
Publisher:
ISBN:
Category : Crystallography
Languages : en
Pages : 200

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Author: Peter L. Duren
Publisher: Courier Dover Publications
ISBN: 9780486411842
Category : Analytic functions
Languages : en
Pages : 0

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A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.

Author: Gerard Gouesbet
Publisher: Springer Science & Business Media
ISBN: 364217194X
Category : Science
Languages : en
Pages : 337

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Book Description
The Lorenz-Mie theory, describing the interaction between a homogeneous sphere and an electromagnetic plane wave, is likely to be one of the most famous theories in light scattering. But, with the advent of lasers and their increasing development in various fields, it has become too old-fashioned to meet most of the modern requisites. The book deals with generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam, relying on the method of separation of variables. A particular emphasis is stressed on the case of the homogeneous sphere but other regular particles are considered too. An extensive discussion of the methods available to the evaluation of beam shape coefficients describing the illuminating beam is provided, and several methods are discussed. Applications concern many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances, or mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Various computer programs relevant to the contents of the book are furthermore provided.

Author: R. N. Sen
Publisher: Cambridge University Press
ISBN: 1139485377
Category : Science
Languages : en
Pages : 413

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Book Description
Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.

Author: Fabio Bagarello
Publisher: John Wiley & Sons
ISBN: 1118855272
Category : Science
Languages : en
Pages : 432

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Book Description
A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features: Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.

Author: Robert J. Rosen
Publisher: Academic Press
ISBN: 1483272346
Category : Science
Languages : en
Pages : 223

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Book Description
Theoretical Biology and Complexity: Three Essays on the Natural Philosophy of Complex Systems is made up of three short essays—each separately conceived and written, each with distinct thrusts and emphases, but nevertheless closely related in substance and spirit. All three spring from a common concern: to grasp and comprehend the material basis of living systems. The first essay is about the interaction between particles and the consequent observable manifestations. It casts the analysis of the measurement process into an elegant dualism relating modes of description, and explores the consequences of this dualism for what may be called classical physics. The second essay explores the deeper consequences of representing the properties of natural systems through states built up out of observable quantities, and the dynamics that such systems impose on each other through interactions. The final essay argues that traditional modes of system representation, involving fixed sets of states together with imposed dynamical laws, strictly pertains only to an extremely limited class of systems (called simple systems or mechanisms). Systems not in this class are called "complex, and these can only be in some sense approximated, locally and temporally, by simple ones. Such a radical alteration of viewpoint leads to a large number of concrete, practical consequences, some of which are described in the essay.