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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 26, Fasc. 1,
pages 113 - 120
 

EXPONENTIAL FORMULA RELATED TO THE GAUSS SEMIGROUP

Ryszard Jajte

Abstract: For the second derivative, an analogue of the classical Taylor’s formula is considered on a suitable function space. The sum of the ”Taylor series” represents the Gauss semigroup. This may be useful in describing the trajectories of some functions under the action of the Gauss semigroup.

2000 AMS Mathematics Subject Classification: 47D03.

Key words and phrases: Gauss semigroup, exponential semigroup, generator of C0 -semigroup.

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