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Maslov operational calculus and noncommutative analysis. (English) Zbl 0881.58066
Demuth, Michael (ed.) et al., Operator calculus and spectral theory. Proceedings of a symposium, held in Lambrecht, Germany, December 9-14, 1991. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 57, 225-243 (1992).
Summary: Maslov’s noncommutative operational calculus has proved to be a convenient tool to study various problems in algebra and differential equations. Here we give a brief description of its main ideas and notions together with several examples of applications. A detailed exposition may be found in the authors’ book [“Methods of noncommutative analysis: theory and applications” (de Gruyter Studies in Math. 22, Walter de Gruyter, Berlin) (1995; Zbl 0876.47015)].
For the entire collection see [Zbl 0863.00037].
MSC:
58J40 Pseudodifferential and Fourier integral operators on manifolds
32S05 Local complex singularities
46N20 Applications of functional analysis to differential and integral equations
47A60 Functional calculus for linear operators
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