Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A characterization in the space of convolution operators


Author: B. R. Nagaraj
Journal: Proc. Amer. Math. Soc. 94 (1985), 396-398
MSC: Primary 46F10; Secondary 35S99
DOI: https://doi.org/10.1090/S0002-9939-1985-0787880-7
MathSciNet review: 787880
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give a characterization of $ {C^\infty }$ elements in the space of convolution operators $ {\theta '_c}$, which belong to the Schwartz space $ \mathcal{S}$.


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

  • [1] L. Hörmander, Linear partial differential operators, Grundleheren Math. Wiss., Vol. 116, Springer-Verlag, Berlin and New York, 1963.
  • [2] -, Pseudo-differential operators and hypoelliptic equations, Singular Integrals, Proc. Sympos. Pure Math., vol. 10, Amer. Math. Soc., Providence, R. I., 1967. MR 0383152 (52:4033)
  • [3] L. Nirenberg, Lectures on linear partial differential equations, CBMS Regional Conf. Ser. in Math., no. 17, Amer. Math. Soc., Providence, R. I., 1972. MR 0450755 (56:9048)
  • [4] L. Schwartz, Théorie des distributions, 2nd ed., Hermann, Paris, 1966. MR 0209834 (35:730)
  • [5] F. Treves, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967. MR 0225131 (37:726)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46F10, 35S99

Retrieve articles in all journals with MSC: 46F10, 35S99


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0787880-7
Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society