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These proceedings discuss the interface and interconnections between the fields of complex variables and potential theory. The following topics were covered: real and complex potential theory, complex dynamics and Banach algebras and infinite dimensional holomorphy.
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Presenting subdifferential calculus and its applications, this monograph details new tools and techniques of convex and non-smooth analysis, such as Kantorovich... Læs mere
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The main topic of this work is the study of general complexes of differential operators between sections of vector bundles. Recent developments in the theory of complexes of differential operators are dealt with, including formal theory and existence theory.
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This text represents over 20 years of research on distortions of functionals under actions of linear integral operators. It addresses linear... Læs mere
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This text conveys the advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals and operators to... Læs mere
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This volume collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and... Læs mere
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This text presents new results in a range of topics, including blowup, wave equations, caustics, uniqueness for the Cauchy problem, boundary value problems, and other topics related to microlocal analysis.
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Dirac operators play an important role in several domains of mathematics and mathematical physics. This book explores the basic theories underlying the... Læs mere
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The thematic scope of contributions includes linear and non-linear partial differential equations, spectral theory and microlocal analysis, harmonic and functional analysis, theory of functions and approximation theory, and applications in mathematical physics.
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This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on... Læs mere
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This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincaré group.
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