Abstract
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.
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© 1980 Springer Science+Business Media New York
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Treves, F. (1980). Special Topics and Applications. In: Introduction to Pseudodifferential and Fourier Integral Operators. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8780-0_2
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DOI: https://doi.org/10.1007/978-1-4684-8780-0_2
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