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ArticleOriginal scientific text

Title

Symbol calculus on the affine group "ax + b"

Authors 1

Affiliations

  1. Department of Mathematics, Peking University, Beijing 100871, P.R. China

Abstract

The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the Lp-estimates for Fuchs type pseudodifferential operators.

Bibliography

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  3. [CW] R. Coifman et G. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Math. 242, Springer, Berlin, 1971.
  4. [H] R. Howe, Quantum mechanics and partial differential equations, J. Funct. Anal. 38 (1980), 188-254.
  5. [K] A. A. Kirillov, Elements of the Theory of Representations, Springer, Berlin, 1976.
  6. [U] A. Unterberger, The calculus of pseudodifferential operators of Fuchs type, Comm. Partial Differential Equations 9 (1984), 1179-1236.
  7. [UU] A. Unterberger and H. Upmeier, Pseudodifferential analysis on symmetric cones, preprint, 1993.
Studia Mathematica
1995/115/3
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Pages:
207-217
Main language of publication
English
Received
1994-04-11
Accepted
1994-12-04
Published
1995
Exact and natural sciences