- Tytuł:
- On analytic semigroups and cosine functions in Banach spaces
- Autorzy:
-
Keyantuo, V.
Vieten, P. - Powiązania:
- https://bibliotekanauki.pl/articles/1218466.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.
- Źródło:
-
Studia Mathematica; 1998, 129, 2; 137-156
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł