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Selecta
Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Potential Theory
Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on s...
Mechanical Circulatory Support in End-Stage Heart Failure
This book is a detailed practical guide to the use of ventricular assist devices and total artificial hearts to provide mechanical circulatory support (MCS) in patients with end-stage heart failure. It explains why MCS may be indicated, which patients require MCS, when and how to implant ventricular assist devices or a total artificial heart, and how to avoid potential complications of MCS. Management throughout the period of care is described, from preimplantation to follow-up, and both typical and atypical cases are discussed. The text features numerous helpful tips and tricks relating to surgical and nonsurgical management and is supported by a wealth of high-quality illustrations that document the preoperative evaluation and implantation techniques. Heart transplantation remains the gold standard for the treatment of patients suffering from end-stage heart failure, but the shortage of donors has led to an increase in the use of MCS. This book will assist all physicians, and especially cardiologists and anesthesiologists, who are involved in the care of these patients.
Harmonic Approximation
The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.
Potential Theory
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
First European Congress of Mathematics
The book contains the round table reports of the first European Congress of Mathematics, a new feature of this Congress devoted to furthering the contribution of mathematics to society and reporting on its interaction with the exact and social sciences. Topics: • Mathematics and the general public • Women and mathematics • Mathematics and educational policy • Let's cultivate mathematics! • Mathematical Europe: Myth or historical reality? • Philosophie des mathématiques : pourquoi ? comment ? • Mathématiques et sciences sociales • Mathe- matics and industry • Degree harmonization and student exchange programmes • The Pythagoras programme • Collaboration with devel- opi...
Introduction to Harmonic Analysis and Generalized Gelfand Pairs
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
ISHLT 2017 Final Program
Downloadable to any device, this book has it all, and we mean ALL, in a book format. This is the definitive record of ISHLT 2017 and contains everything that has traditionally been included in the printed Final program: all presentation information (including abstract titles and authors), Academy scientific program schedules, meeting times and locations, continuing education credit information, meeting highlights, floor plans, list of exhibitors, corporate event and industry theater listings, plus committee and council leadership rosters, award recipient lists, and more! No photos, no color—just all the information you ever wanted.
Classical Potential Theory
A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.
