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Proceedings of the American Mathematical Society

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The identity of weak and strong extensions of pseudo-differential operators


Author: Fernando Cardoso
Journal: Proc. Amer. Math. Soc. 29 (1971), 118-122
MSC: Primary 47.70
DOI: https://doi.org/10.1090/S0002-9939-1971-0275238-9
MathSciNet review: 0275238
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Abstract: In this paper we consider first order Kohn and Nirenberg pseudo-differential operators, define their weak and strong $ {L_2}$ extensions and prove, by standard mollifiers and Fourier transform techniques, the identity between them.


References [Enhancements On Off] (What's this?)

  • [1] K. O. Friedrichs, The identity of weak and strong extensions of differential operators, Trans. Amer. Math. Soc. 55 (1944), 132-151. MR 5, 188. MR 0009701 (5:188b)
  • [2] J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269-305. MR 31 #636. MR 0176362 (31:636)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0275238-9
Keywords: Pseudo-differential operator, weak and strong extensions, mollifiers, Fourier transforms
Article copyright: © Copyright 1971 American Mathematical Society

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