Exponential formula related to the Gauss semigroup

• Autorzy: Jajte R.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Gauss semigroup; exponential semigroup; generator of C0-semigroup

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2006
• Tom: Vol. 26, Fasc. 1
• Strony: 113--120
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Jajte R.

• Faculty of Mathematics University of Łódź PL-90-238 Łódź, Poland

Bibliografia

• [1] N. Dunford and I. T. Schwartz, Linear Operators. Part I: General Theory, Interscience Publishers, Inc., New York-London 1964.
• [2] K. Yоsida, Functional Analysis, Springer, Berlin-Göttingen-Heidelberg 1965.