Special Topics and Applications

  • François Treves
Part of the The University Series in Mathematics book series (USMA)


Pseudodifferential operators are tools. How efficient such tools can be was first evidenced by their application to uniqueness in the Cauchy problem by A. Calderon (ca. 1957, see Calderon [1]) and their role in the proof of the Atiyah-Singer index formula (ca. 1963, see Atiyah and Singer [1]). As often happens in mathematics, they had already been used earlier in disguised form. But it is those two spectacular successes that convinced several analysts (J. J. Kohn and L. Nirenberg [1], L. Schwartz, A. Unterberger, and J. Bokobza [1, 2], Calderon himself, R. Seeley [1], L. Hörmander [4]) of the timeliness of a comprehensive and more precise theory.


Banach Space Vector Bundle Special Topic Compact Subset Pseudodifferential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • François Treves
    • 1
  1. 1.Rutgers UniversityNew BrunswickUSA

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