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Transactions of the American Mathematical Society
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
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0454346-3
PII: S 0002-9947(1977)0454346-3
Keywords: Huygens property, Poisson representation
Article copyright: © Copyright 1977 American Mathematical Society