Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The Huygens property for the heat equation

Author: D. V. Widder
Journal: Trans. Amer. Math. Soc. 232 (1977), 239-244
MSC: Primary 35K05; Secondary 35C15
MathSciNet review: 0454346
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This note summarizes several criteria which guarantee that a solution of the heat equation should also have the semigroup property described in equation (1.2) below. In particular, it corrects a mistake in an earlier proof of one of these.

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

  • [1] D. V. Widder, The heat equation, Academic Press, New York, 1975. MR 0466967 (57:6840)
  • [2] P. C. Rosenbloom and D. V. Widder, Expansions in terms of heat polynomials and associated functions, Trans. Amer. Math. Soc. 92 (1959), 220-266. MR 21 #5845. MR 0107118 (21:5845)
  • [3] I.I. Hirschman and D.V. Widder, The convolution transform, Princeton Univ. Press, Princeton, N.J., 1955. MR 17, 479. MR 0073746 (17:479c)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35K05, 35C15

Retrieve articles in all journals with MSC: 35K05, 35C15

Additional Information

Keywords: Huygens property, Poisson representation
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society