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Offers a rigorous, comprehensive, and modern presentation of the most traditional concepts in measure theory and integration. Building on the classical foundations, it... Læs mere
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Spectral theory is a dynamic research field. This book develops the general theory of spectra of discrete structures, for graphs, hypergraphs and simplicial complexes.... Læs mere
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Filling a gap in the literature, this monograph explores the theory of gradient flows of convex functionals in metric measure spaces. It... Læs mere
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The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key theorems, while also addressing practical applications in various fields.
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The author set out to solve the classical and famous problems including Isoperimetric Problem, Brachistochrone Curve Problem, N-Body Problems, Geodesic Curve Problem, Minimal Surface Problem, Dirichlet Principle, Minimax Problems, Rabinowitz Minimal Period Conjecture, etc.
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Develops algorithms for processing multi-dimensional digital signals - particularly, algorithms for multi-dimensional Fourier transforms in a form that is convenient for writing efficient code on a variety of vector and parallel computers.
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Contains data dealing with the characteristics of systems with distributed and lumped parameters. Around 200 problems are discussed and, for each problem, all the main characteristics of the solution are listed. Degenerate multiconnected systems are also included.
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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.