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Vector-valued Laplace Transforms and Cauchy Problems
  • Language: en
  • Pages: 526

Vector-valued Laplace Transforms and Cauchy Problems

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 functio...

Operator Theory, Function Spaces, and Applications
  • Language: en
  • Pages: 240

Operator Theory, Function Spaces, and Applications

  • Type: Book
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  • Published: 2016-09-24
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  • Publisher: Birkhäuser

This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
  • Language: en
  • Pages: 389

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.

Semigroups of Operators -Theory and Applications
  • Language: en
  • Pages: 338

Semigroups of Operators -Theory and Applications

  • Type: Book
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  • Published: 2014-11-20
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  • Publisher: Springer

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginnin...

Linear Systems, Signal Processing and Hypercomplex Analysis
  • Language: en
  • Pages: 320

Linear Systems, Signal Processing and Hypercomplex Analysis

  • Type: Book
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  • Published: 2019-08-08
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  • Publisher: Springer

This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.

Operators, Semigroups, Algebras and Function Theory
  • Language: en
  • Pages: 262

Operators, Semigroups, Algebras and Function Theory

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.

Partial Differential Operators and Mathematical Physics
  • Language: en
  • Pages: 448
Analysis as a Tool in Mathematical Physics
  • Language: en
  • Pages: 635

Analysis as a Tool in Mathematical Physics

Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.

Operator Algebras and Mathematical Physics
  • Language: en
  • Pages: 207

Operator Algebras and Mathematical Physics

  • Type: Book
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  • Published: 2015-09-29
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  • Publisher: Birkhäuser

This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.