Special Topics and Applications
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 ) and their role in the proof of the Atiyah-Singer index formula (ca. 1963, see Atiyah and Singer ). 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 , L. Schwartz, A. Unterberger, and J. Bokobza [1, 2], Calderon himself, R. Seeley , L. Hörmander ) of the timeliness of a comprehensive and more precise theory.
KeywordsBanach Space Vector Bundle Special Topic Compact Subset Pseudodifferential Operator
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