Algebraic Analysis and Its Applications

Dear Colleagues,

This Special Issue on “Algebraic Analysis and Its Applications” encompasses several topics of mathematics and its applications. Algebraic analysis strongly depends on the algebraic system that is used in it. It includes parts of mathematical analysis, functional analysis, harmonic analysis, analysis of partial differential equations, analysis on manifolds, analysis of dynamical systems, analysis in number theory, analysis in mathematical physics, and stochastic analysis, which are based on algebras or rings from different fields. It may also include noncommutative analysis, harmonic analysis on groups, hypercomplex analysis, operator theory, spectral theory of operators, algebras of operators, and perturbation theory based on algebras or rings from different fields, with applications in other sciences. Additionally, it may include measure theory on manifolds, transformations of measures relative to flows or transformations of manifolds, and measures on algebras or rings. This is also related to dynamical systems on manifolds, applications in quantum mechanics, and quantum field theory over algebraic systems.

Prof. Dr. Sergey Ludkowski
Guest Editor

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