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A Note On The Functional Calculus For Sectorial Operators


A Note On The Functional Calculus For Sectorial Operators
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The Functional Calculus For Sectorial Operators


The Functional Calculus For Sectorial Operators
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Author : Markus Haase
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

The Functional Calculus For Sectorial Operators written by Markus Haase and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.


This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.



A Note On The Functional Calculus For Sectorial Operators


A Note On The Functional Calculus For Sectorial Operators
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Author : Marcus Franciscus Uiterdijk
language : en
Publisher:
Release Date : 1996

A Note On The Functional Calculus For Sectorial Operators written by Marcus Franciscus Uiterdijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Semigroups Of Operators Theory And Applications


Semigroups Of Operators Theory And Applications
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Author : A.V. Balakrishnan
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Semigroups Of Operators Theory And Applications written by A.V. Balakrishnan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.



Operators Semigroups Algebras And Function Theory


Operators Semigroups Algebras And Function Theory
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Author : Yemon Choi
language : en
Publisher: Springer Nature
Release Date : 2023-12-06

Operators Semigroups Algebras And Function Theory written by Yemon Choi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-06 with Mathematics categories.


This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021. It includes both survey articles and original research papers covering some of the main themes of the meeting.



Interpolation Theory And Applications


Interpolation Theory And Applications
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Author : Michael Cwikel
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Interpolation Theory And Applications written by Michael Cwikel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.



The Theory Of Fractional Powers Of Operators


The Theory Of Fractional Powers Of Operators
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Author : C. Martinez
language : en
Publisher: Elsevier
Release Date : 2001-01-17

The Theory Of Fractional Powers Of Operators written by C. Martinez and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-17 with Mathematics categories.


This book makes available to researchers and advanced graduates a simple and direct presentation of the fundamental aspects of the theory of fractional powers of non-negative operators, which have important links with partial differential equations and harmonic analysis. For the first time ever, a book deals with this subject monographically, despite the large number of papers written on it during the second half of the century. The first chapters are concerned with the construction of a basic theory of fractional powers and study the classic questions in that respect. A new and distinct feature is that the approach adopted has allowed the extension of this theory to locally convex spaces, thereby including certain differential operators, which appear naturally in distribution spaces. The bulk of the second part of the book is dedicated to powers with pure imaginary exponents, which have been the focus of research in recent years, ever since the publication in 1987 of the now classic paper by G.Dore and A.Venni. Special care has been taken to give versions of the results with more accurate hypotheses, particularly with respect to the density of the domain or the range of the operator. The authors have made a point of making the text clear and self-contained. Accordingly, an extensive appendix contains the material on real and functional analysis used and, at the end of each chapter there are detailed historical and bibliographical notes in order to understand the development and current state of research into the questions dealt with.



Nigel J Kalton Selecta


Nigel J Kalton Selecta
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Author : Fritz Gesztesy
language : en
Publisher: Birkhäuser
Release Date : 2016-07-05

Nigel J Kalton Selecta written by Fritz Gesztesy and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Mathematics categories.


This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.



Lp Theory For Incompressible Newtonian Flows


Lp Theory For Incompressible Newtonian Flows
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Author : Matthias Köhne
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Lp Theory For Incompressible Newtonian Flows written by Matthias Köhne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias Köhne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal.



Advances In Complex Analysis And Operator Theory


Advances In Complex Analysis And Operator Theory
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Author : Fabrizio Colombo
language : en
Publisher: Birkhäuser
Release Date : 2017-09-30

Advances In Complex Analysis And Operator Theory written by Fabrizio Colombo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-30 with Mathematics categories.


This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests. The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.



Evolution Equations Applications To Physics Industry Life Sciences And Economics


Evolution Equations Applications To Physics Industry Life Sciences And Economics
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Author : Mimmo Iannelli
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Evolution Equations Applications To Physics Industry Life Sciences And Economics written by Mimmo Iannelli and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The seventh International Conference on Evolution Equations and their main areas of Applications (where the emphasis evolves as time and problems change) was held October 30 to November 4 at the CIRM (Centro Internazionale per la Ricerca Matematica) in Trento, Italy. In keeping with the basic principles and the recent tendencies governing these International Conferences, it brought together many of the world's leading experts in the fields mentioned, with particular effort on facilitating the interaction of established scientists and emerging young promising researchers, as well as the interaction of pure and applied specialists. In the latter directions, emphasis was extended here to include in addition to Physical and Life Sciences, also Industry and Economics. Topics among the recent advances treated here concern new developments in: moving boundary problems, asymptotics in non-linear Volterra equations and other asymptotics related developments, Poincare inequality on stratified sets, time operator and Markov processes in physics related advances, behavior of granu lar matter, stochastic aspects of Hamilton-Jacobi-Bellman equation, very general Paley-Wiener results applied to both classical and generalized functions, Ornstein Uhlenbeck operators and processes, quasilinear PDEs with memory operators, semi-group approach in economics (pricing theory) and other semi-group related developments, convolution-evolution equation in aeroelasticity, new developments in the study of age-structured models, new developments in maximal regularity.