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Study with George Styan

100%

Bertrand P.

Discussiones Mathematicae Probability and Statistics

2013

tom 33

nr 1-2

41-46

George Styan and I first met when he came to the University of Birmingham to study Mathematics. We both developed interests in Mathematical Statistics. Matrix theory is an essential component of such courses and we both excelled at it. Our paths have intersected on a number of occasions and George's insight and cooperation has been a great help in enabling me to carry out research in several areas. This article summarizes the value of George's presence and help in carrying out some interesting and complicated research projects.

Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures

100%

Lau K.-S., Wang J.-R., Chu C.-H.

Studia Mathematica

1995-1996

tom 117

nr 1

1-28

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.

Ograniczanie wyników

1 Discussiones Mathematicae Probability and Statistics

1 Studia Mathematica

1 Bertrand P.

1 Chu C.-H.

1 Lau K.-S.

1 Wang J.-R.

1 2013

1 1995

Wyniki wyszukiwania

Study with George Styan

Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures