- Tytuł:
- Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures
- Autorzy:
-
Lau, Ka-Sing
Wang, Jian-Rong
Chu, Cho-Ho - Powiązania:
- https://bibliotekanauki.pl/articles/1288535.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Choquet-Deny theorem
convolution
exponential function
matrices
renewal equation
self-similar measures - Opis:
- The Choquet-Deny theorem and Deny's theorem are extended to the vector-valued case. They are applied to give a simple nonprobabilistic proof of the vector-valued renewal theorem, which is used to study the $L^p$-dimension, the $L^p$-density and the Fourier transformation of vector-valued self-similar measures. The results answer some questions raised by Strichartz.
- Źródło:
-
Studia Mathematica; 1995-1996, 117, 1; 1-28
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł