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On pseudo-differential operators and smoothness of special Lie-group representations. (English) Zbl 0415.35083


MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
58J40 Pseudodifferential and Fourier integral operators on manifolds
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
47Gxx Integral, integro-differential, and pseudodifferential operators
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References:

[1] BEALS, R.: A General Calculus of Pseudo-Differential Operators. Duke Math. Journal42, 1–42 (1975) · Zbl 0343.35078 · doi:10.1215/S0012-7094-75-04201-5
[2] BEALS, R.: Characterization of Pseudo-Differential Operators and Applications. Duke Math. Journal44, 45–57 (1977) · Zbl 0353.35088 · doi:10.1215/S0012-7094-77-04402-7
[3] BEALS, R.: On the Boundedness of Pseudo-Differential Operators. Comm. in Partial Diff. Equ. 210, 1063–1070 (1977) · Zbl 0397.35072 · doi:10.1080/03605307708820055
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[8] CORDES, H. O.: Lecture Notes on Partial Differential Equations. Berkeley 1976/77
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[13] HOWE, R.: Quantum Mechanics and Partial Differential Equations. To appear. · Zbl 0449.35002
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