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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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This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.
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This book covers three important topics in commutative harmonic analysis which is a branch of mathematics which has strong links with theoretical physics and signal processing. Hence, it addresses mathematicians, physicists and engineers working in these areas.
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Deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. This book presents the... Læs mere