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Corner Mellin operators and reduction of orders with parameters. (English) Zbl 0711.58030
This paper is part of the program to establish a calculus of pseudo- differential operators on manifolds with singularities. The Mellin pseudo-differential operator calculus on \(({\mathbb{R}}_+)^ n\) with pseudo-differential operator-valued symbols is developed and then the cone algebra of pseudo-differential operators with parameters is introduced. Finally, Mellin operators in domains with corners and the corresponding Sobolev spaces are introduced and treated.
Reviewer: V.Ya.Ivrij

MSC:
58J40 Pseudodifferential and Fourier integral operators on manifolds
47G30 Pseudodifferential operators
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