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Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1316060918 Category : Mathematics Languages : en Pages : 703
Book Description
An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.
Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1316060918 Category : Mathematics Languages : en Pages : 703
Book Description
An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.
Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1107027780 Category : Mathematics Languages : en Pages : 641
Book Description
In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
Author: John Michael Rassias Publisher: World Scientific ISBN: 9814506052 Category : Mathematics Languages : en Pages : 340
Book Description
This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.
Author: Audrius Andrijauskas Publisher: Universal-Publishers ISBN: 1599426536 Category : Languages : en Pages : 272
Book Description
Intravenous fluid and blood component resuscitation is an integral part of modern medicine practice in a variety of medical fields. However, these therapies are usually led by rigid and very approximate guidelines. The purpose of creating the Homeostatic blood states theory was to develop more accurate guidelines. On the basis of the new theory the following results have been reached: 1. The physiological-mathematical model explaining blood volume homeostasis has been created; 2. Nomograms for infusion therapy measures, blood loss evaluation and calculating red blood cell transfusion amount were proposed; 3. Nomograms were built on the background of interfering relationship of blood hematocrit and hemoglobin concentration; 4. New guidelines for infusion therapy, blood loss evaluation and calculating transfusion amount for proper hematocrit increase were proposed; 5. New method for early verification of occult bleeding has been suggested. Three major homeostatic blood states were described: (1) target state, (2) state of maximal isoosmotic plasma dilution and (3) dehydration. Target states maintain optimal red cell mass and blood volume correlation. Other two maintain critical plasma hydration origin deviations from target state. Three new nomograms enable planning and evaluation of infusion therapy and red cell mass transfusion, quantitate evaluation of blood loss and early detection of occult bleeding based on the dynamics of blood hematocrit and hemoglobin concentration.
Author: Richard L Amoroso Publisher: World Scientific ISBN: 9814504793 Category : Science Languages : en Pages : 552
Book Description
A truly Galilean-class volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avant-garde, cutting-edge topics in contemporary physics. Among the six proceedings honoring J.-P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of large-scale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a must-have acquisition for the library of any serious forward-looking researchers.
Author: Einar Hille Publisher: American Mathematical Soc. ISBN: 082187568X Category : Mathematics Languages : en Pages : 322
Book Description
Second Edition. This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the "canonical" topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.
Author: Emmanuel Fricain
Author: Emmanuel Fricain
Author: Emmanuel Fricain
Author: Emmanuel Fricain
Author: I︠A︡kov Lʹvovich Alʹpert
Author: John Michael Rassias
Author: Gilles Pisier
Author: Audrius Andrijauskas
Author: Richard L Amoroso
Author: Einar Hille
Author: