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Functional Calculi for Noncommuting Operators

Call for Papers

The calculus for noncommuting systems of operators has important applications to the scattering theory, differential equations, asymptotic analysis, and harmonic analysis. A central topic is analysing a functional calculus f⟼f(A1,…,An) for finitely many linear operators A1,…,An. We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to develop a general calculus for finite systems of linear operators and apply this calculus to other areas of mathematics. Potential topics include, but are not limited to:

  • The classical Weyl functional calculus
  • The Weyl functional calculus for finite systems of matrices and bounded or unbounded linear operators
  • The Daletskii-Maslov functional calculus for finite systems of matrices and bounded or unbounded linear operators
  • Feynman's operational calculus
  • Taylor's analytic functional calculus for finite commuting systems of bounded linear operators
  • Multivariable functional calculi of operators and multiple operator integrals
  • Applications of multivariable functional calculi of operators to the spectral theory of finite systems of operators
  • Applications of multivariable functional calculi of operators to scattering theory, spectral flows, and quantum physics

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jfsa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:

Manuscript DueFriday, 11 January 2013
First Round of ReviewsFriday, 5 April 2013
Publication DateFriday, 31 May 2013

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