Functional Analysis for Probability and Stochastic Processes
Functional Analysis for Probability and Stochastic Processes

Author: Adam Bobrowski

Publisher: Cambridge University Press

Published: 2005-08-11

Total Pages: 416

ISBN-13: 9780521831666

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This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators.

Advances in Engineering Structures, Mechanics & Construction
Advances in Engineering Structures, Mechanics & Construction

Author: M. Pandey

Publisher: Springer Science & Business Media

Published: 2007-02-10

Total Pages: 847

ISBN-13: 1402048912

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This book presents the proceedings of an International Conference on Advances in Engineering Structures, Mechanics & Construction, held in Waterloo, Ontario, Canada, May 14-17, 2006. The contents include contains the texts of all three plenary presentations and all seventy-three technical papers by more than 153 authors, presenting the latest advances in engineering structures, mechanics and construction research and practice.

Vector-valued Laplace Transforms and Cauchy Problems
Vector-valued Laplace Transforms and Cauchy Problems

Author: Wolfgang Arendt

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 526

ISBN-13: 3034850751

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Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .

Proceedings of the International Congress of Mathematicians
Proceedings of the International Congress of Mathematicians

Author: S.D. Chatterji

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 1669

ISBN-13: 3034890788

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Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Reverse Shoulder Arthroplasty
Reverse Shoulder Arthroplasty

Author: David M. Dines

Publisher: Thieme

Published: 2017-09-27

Total Pages: 568

ISBN-13: 1626233616

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This masterful book from top experts provides clinical insights on reverse shoulder arthroplasty gleaned from hands-on refinement of shoulder replacement techniques. Years of significant biomechanical and clinical research yielded invaluable knowledge that led to important improvements in functional outcome and implant durability. Among these refinements were stronger polyethylene derivatives, better ingrowth technology, and improved connection devices. As the durability and longevity of implant technology increased, younger active patients became suitable candidates for this procedure. In fact, RSA has played a pivotal role in making shoulder arthroplasty the fastest growing implant technology. In the first two sections, the authors take the reader through the history and evolution of RSA, followed by step-by-step surgical techniques for specific injuries and conditions. The next three sections discuss past and recent outcomes, complications, and rehabilitation. The last section covers special considerations including patient specific instrumentation, convertible humeral and glenoid components, and the future potential of stemless humeral technology. Key Features The latest trends in patient-specific components, guide systems, and instrument design The use of RSA for rotator cuff repair, shoulder arthritis, and acute and complex fractures In-depth discussion of techniques to improve deltoid function, avoid impingement, and increase implant longevity Clinical pearls on how to recognize and handle complications that occur: instability, infection, scapular notching, component loosening, glenoid and humeral bone loss, and RSA failure High quality videos and 300 superb illustrations further delineate techniques This book is a practical resource that enables learning complex procedures, putting them into practice, and handling complications should they arise. It is an essential tool for all orthopaedic surgeons who treat shoulder conditions.

Fully Nonlinear Elliptic Equations
Fully Nonlinear Elliptic Equations

Author: Luis A. Caffarelli

Publisher: American Mathematical Soc.

Published: 1995

Total Pages: 114

ISBN-13: 0821804375

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The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.