Download or read book Classical Function Theory Operator Dilation Theory and Machine Computation on Multiply Connected Domains written by Jim Agler and published by American Mathematical Soc.. This book was released on 2008 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work begins with the presentation of generalizations of the classical Herglotz Representation Theorem for holomorphic functions with positive real part on the unit disc to functions with positive real part defined on multiply-connected domains. The generalized Herglotz kernels that appear in these representation theorems are then exploited to evolve new conditions for spectral set and rational dilation conditions over multiply-connected domains. These conditions form the basis for the theoretical development of a computational procedure for probing a well-known unsolved problem in operator theory, the so called rational dilation conjecture. Arbitrary precision algorithms for computing the Herglotz kernels on circled domains are presented and analyzed. These algorithms permit an effective implementation of the computational procedure which results in a machine generated counterexample to the rational dilation conjecture.
Download or read book Quantum Systems under Gravitational Time Dilation written by Magdalena Zych and published by Springer. This book was released on 2017-02-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis introduces a new theoretical tool to explore the notion of time and temporal order in quantum mechanics: the relativistic quantum "clock" framework. It proposes novel thought experiments showing that proper time can display quantum features, e.g. when a “clock” runs different proper times in superposition. The resulting new physical effects can be tested in near-future laboratory experiments (with atoms, molecules and photons as "clocks"). The notion of time holds the key to the regime where quantum theory and general relativity overlap, which has not been directly tested yet and remains largely unexplored by the theory. The framework also applies to scenarios in which causal relations between events become non-classical and which were previously considered impossible to address without refuting quantum theory. The relativistic quantum "clock" framework offers new insights into the foundations of quantum theory and general relativity.
Download or read book Dual Algebras with Applications to Invariant Subspaces and Dilation Theory written by Hari Bercovici and published by American Mathematical Soc.. This book was released on 1985 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dual algebras has made tremendous progress since 1978, when Scott Brown originated some of the main ideas to solve the invariant subspace problem for subnormal operators. This book presents ideas concerning the solution of systems of simultaneous equations in the predual of a dual algebra, thereby developing a dilation theory.
Download or read book Dual Algebras with Applications to Invariant Subspaces and Dilation Theory written by Hari Bercovici and published by American Mathematical Soc.. This book was released on 1985-01-01 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Operator Valued Measures Dilations and the Theory of Frames written by Deguang Han and published by American Mathematical Soc.. This book was released on 2014-04-07 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian. In the non-cb case the dilation space often needs to be a Banach space. They give applications to both the discrete and the continuous frame theory. There are natural associations between the theory of frames (including continuous frames and framings), the theory of operator-valued measures on sigma-algebras of sets, and the theory of continuous linear maps between -algebras. In this connection frame theory itself is identified with the special case in which the domain algebra for the maps is an abelian von Neumann algebra and the map is normal (i.e. ultraweakly, or weakly, or w*) continuous.
Download or read book Characterization and Clinical Management of Dilated Cardiomyopathy written by Marco Merlo and published by MDPI. This book was released on 2021-01-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dilated cardiomyopathy (DCM) is a particular phenotype of non-ischemic systolic heart failure, frequently recognizing a genetic background and affecting relatively young patients with few comorbidities. Nowadays, long-term survival of DCM patients has been markedly improved due to an early diagnosis and uninterrupted and tailored follow-up under constant optimal medical and non-pharmacological evidence-based treatments. Nevertheless, DCM is still one of the most common causes of heart transplantation in the western world. Clinical management requires an integrated and systematic use of diagnostic tools and a deeper investigation of the basic mechanisms underlying the disease. However, several emerging issues remain debated. Specifically, the genotype–phenotype correlation, the role of advanced imaging techniques and genetic testing, the lack of appropriate risk stratification models, the need for a multiparametric and multidisciplinary approach for device implantation, and a continuous reclassification of the disease during follow-up remain challenging issues in clinical practice. Therefore, the aim of this Special Issue is to shed the light on the most recent advancements in characterization and clinical management of DCM in order to unveil the conundrum of this particular disease.
Download or read book Unitary Dilations of Hilbert Space Operators and Related Topics written by Béla Szőkefalvi-Nagy and published by American Mathematical Soc.. This book was released on 1974-01-01 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dilated Cardiomyopathy written by Gianfranco Sinagra and published by Springer. This book was released on 2019-05-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a comprehensive overview of dilated cardiomyopathy, providing readers with practical guidelines for its clinical management. The first part of the book analyzes in detail the disease’s pathophysiology, its diagnostic work up as well as the prognostic stratification, and illustrates the role of genetics and gene-environment interaction. The second part presents current and future treatment options, highlighting the importance of long-term and individualized treatments and follow-up. Furthermore, it discusses open issues, such as the apparent healing phenomenon, the early prognosis of arrhythmic events or the use of genetic testing in clinical practice. Offering a multidisciplinary approach for optimizing the clinical management of DCM, this book is an invaluable aid not only for the clinical cardiologists, but for all physicians involved in the care of this challenging disease.
Download or read book Dilations Linear Matrix Inequalities the Matrix Cube Problem and Beta Distributions written by J. William Helton and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: An operator C on a Hilbert space H dilates to an operator T on a Hilbert space K if there is an isometry V:H→K such that C=V∗TV. A main result of this paper is, for a positive integer d, the simultaneous dilation, up to a sharp factor ϑ(d), expressed as a ratio of Γ functions for d even, of all d×d symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.
Download or read book Tiered Geometry Assignment Applying Dilations written by Wendy Conklin and published by Teacher Created Materials. This book was released on 2014-02-01 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tiered assignment offers multilevel activities based on key mathematical skills. Written specifically for mathematics teachers, this tiered lesson helps facilitate the understanding and process of writing differentiated lessons for all students.
Download or read book Philosophical Transactions of the Royal Society of London written by and published by . This book was released on 1893 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Schur Parameters Factorization and Dilation Problems written by Tiberiu Constantinescu and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the ubiquity of the Schur parameters. A dilation theoretic view leads to a unified perspective on several topics where Schur parameters appear as basic cells. Together with the transmission line, their physical counter- part, they appear in scattering theory, in modeling, prediction and filtering of nonstationary processes, in signal processing, geophysics and system theory. Modeling problems are considered for certain classes of operators, interpolation problems, determinental formulae, as well as connections with certain classes of graphs where, again, the Schur parameters could play a role. Some general algorithms that explore the transmission line are also presented in this book. As a whole, the text is self-contained and it is addressed to people interested in the previously mentioned topics or connections between them.
Download or read book Relativity written by Albert Einstein and published by Red & Black Pub. This book was released on 2009-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of relativity, explained by the greatest mind of the 20th century. Albert Einstein discusses the special and general theories of relativity, and the core concepts of modern cosmology, including time dilation, the spacetime continuum, and the energy-mass relationship, in simple non-mathematical terms.
Download or read book Annals of Surgery written by and published by . This book was released on 1920 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes the transactions of the American Surgical Association, New York Surgical Society, Philadelphia Academy of Surgery, Southern Surgical Association, Central Surgical Association, and at various times, of other similar organizations.
Download or read book Surgical Approaches to Esophageal Disease An Issue of Surgical Clinics written by Dmitry Oleynikov and published by Elsevier Health Sciences. This book was released on 2015-06-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgical Management of Esophageal Disease is reviewed extensively in this important Surgical Clinics of North America issue. Articles include: Approach to Patients with Esophageal Dysphagia; Esophageal Motility Disorders; Achalasia; Esophageal Stricture and Diverticula; Benign Esophageal Masses; Gastroesophageal Disease; Barrett’s Esophagus; Preoperative Evaluation of GERD; Surgical Treatment of GERD; Endoscopic Treatment of GERD; Paraesophageal Hernia; Short Esophagus; Reoperative Antireflux Surgery; GERD after Bariatric Procedure; Minimally Invasive Esophagectomy for Benign Eosphageal Disease; and more!
Download or read book The Image Processing Handbook written by John C. Russ and published by CRC Press. This book was released on 2018-09-03 with total page 1035 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consistently rated as the best overall introduction to computer-based image processing, The Image Processing Handbook covers two-dimensional (2D) and three-dimensional (3D) imaging techniques, image printing and storage methods, image processing algorithms, image and feature measurement, quantitative image measurement analysis, and more. Incorporating image processing and analysis examples at all scales, from nano- to astro-, this Seventh Edition: Features a greater range of computationally intensive algorithms than previous versions Provides better organization, more quantitative results, and new material on recent developments Includes completely rewritten chapters on 3D imaging and a thoroughly revamped chapter on statistical analysis Contains more than 1700 references to theory, methods, and applications in a wide variety of disciplines Presents 500+ entirely new figures and images, with more than two-thirds appearing in color The Image Processing Handbook, Seventh Edition delivers an accessible and up-to-date treatment of image processing, offering broad coverage and comparison of algorithms, approaches, and outcomes.
Download or read book Idiopathic Dilated Cardiomyopathy written by Hans-Reiner Figulla and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest developments in molecular biology have broadened our understanding of the pathogenesis of idiopathic dilated cardiomyopathy (IDC). In this book, written by well-known experts, a comprehensive overviewof IDC is given, including basic cellular and molecular concepts, virology, immunology, cardiac receptors and ionic channels, contractility abnormalities, microcirculation, and oxygen supply in cardiac hypertrophy. Details on basic research are supplemented by results of new clinical trials in IDC and the latest data on the epidemiology of the disease. For those who are interested in the disease, the book summarizes progress in all major fields.
