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The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.Applications of harmonic analysis to data science and statisticsBoundary-value problems for PDE's including the Runge-Walsh theorem for the oblique derivative problem of physical geodesy.
As it will be difficult to cover all of the metals, about two scores of them, the authors will instead provide a detailed analysis of a select set of essential (Calcium, Magnesium, Selenium, Iron, copper and Zinc) and non-essential metals (Nickel, Chromium, Cadmium and Arsenic, Tungsten and Asbestos).
This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand.
The second edition of this text reviews the prevention, evaluation and management of complications arising from female pelvic surgery.
A companion volume, Immunopathology in Toxicology and Drug Development: Volume 1, Immunobiology, Investigative Techniques, and Special Studies, offers an overview of general immunobiology, cells of the immune system, signaling and effector molecules, and immunopathology assays.
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency - the Schramm-Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.
This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.
This new edition provides a comprehensive overview of procedures for the gastrointestinal tract.
This book features a selection of articles based on the XXXV Bialowieza Workshop on Geometric Methods in Physics, 2016.
The international Mont Terri rock laboratory in Switzerland plays a central role in the safety and construction of deep geological nuclear repositories in clay formations.
This book is open access under a CC BY license. This book explores if and how Russian policies towards the Far East region of the country - and East Asia more broadly - have changed since the onset of the Ukraine crisis and Russia's annexation of Crimea.
This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.
This book discusses normal sex-related differences in lung structure and function and the role these differences play in lung disease.
This book discusses health disparities in respiratory medicine and suggests methods to reduce them. Similarly, differences in health and health outcomes exist between differing socioeconomic groups, with lower income groups generally having poorer health and higher rates of chronic illness.
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as functional and real analysis, group theory, measure and set theory, probability, and topology. Finding solutions to the problems they proposed has been ongoing since World War II, with prizes offered in many cases to those who are successful.In the 35 years since the first edition published, several more problems have been fully or partially solved, but even today many still remain unsolved and several prizes remain unclaimed. In view of this, the editor has gathered new and updated commentaries on the original 193 problems. Some problems are solved for the first time in this edition. Included again in full are transcripts of lectures given by Stanislaw Ulam, Mark Kac, Antoni Zygmund, Paul Erdös, and Andrzej Granas that provide amazing insights into the mathematical environment of Lwów before World War II and the development of The Scottish Book. Also new in this edition are a brief history of the University of Wroclaw's New Scottish Book, created to revive the tradition of the original, and some selected problems from it.The Scottish Book offers a unique opportunity to communicate with the people and ideas of a time and place that had an enormous influence on the development of mathematics and try their hand on the unsolved problems. Anyone in the general mathematical community with an interest in the history of modern mathematics will find this to be an insightful and fascinating read.
This new edition is devoted to a broad array of topics involving the circadian variation in cardiovascular diseases, with focuses on hypertension, stroke, and coronary disease. The volume covers clinical and device research related to home and ambulatory BP monitoring, as there have been significant advances in technology since the publication of the previous edition. In addition, there is an increased focus on the applicability of home and ambulatory BP monitoring in drug development in all therapeutic arenas. The text features contributions from chapter authors from around the world and who have great expertise in cardiovascular medicine, therapeutics, clinical trials, and evidence-based medicine.Blood Pressure Monitoring in Cardiovascular Medicine and Therapeutics, Third Edition is essential reading for a large audience, including those practicing cardiology and nephrology with a special focus in hypertension, geriatrics and internal medicine, clinical trialists, regulators in the US, Europe, and Japan, and physicians in training in cardiology, hypertension, pharmacology, nephrology and neurology.
Specific attention is devoted to the genetic manipulation of T cells through the introduction of re-directed T cell receptors, chimeric antibody receptors, and other genetic manipulation aimed at improving their effectiveness as anti-cancer agents.
This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.
The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories.
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.They will be a valuable and inspiring source of information for graduate students and established researchers.
This volume reflects "New Trends in Shape Optimization" and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nurnberg in September 2013. some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today.
In combination, maldigestion, malabsorption, and increased metabolic demands pose a high hurdle for the patient to overcome in order to maintain optimal nutritional status.Nutrition in Cystic Fibrosis: A Guide for Clinicians is an excellent resource for physicians, nurses and dietitians who deliver care for patients with cystic fibrosis.
Those connected with drug research, be they in industry, in universities or in clinics, are aware of these problems, and, as a result of this awareness, are all the more in need of an aid which will assist them in ascertaining the current position and in fixing future goals.
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