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

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