Semistable selfdecomposable laws on groups

• Autorzy: Hazod W. , Shah R.
• Języki publikacji: EN

Abstrakty

EN

The most prominent examples of (operator-) selfdecomposable laws on vector spaces are (operator-) stable laws. In the past (operator-) semistability — a natural generalisation — had been intensively investigated, hence the description of the intersection of the classes of semistable and selfdecomposable laws turned out to be a challenging problem, which was finally solved by A. Łuczak's investigations [17]. For probabilities on groups, in particular on simply connected nilpotent Lie groups there exists meanwhile a satisfying theory of decomposability and semistability. Consequently it is possible to obtain a description of the intersection of these classes of measures — under additional commutativity assumptions — leading finally to partial extensions of the above-mentioned results for vector spaces to the group case.

Słowa kluczowe

EN

nilpotent Lie groups; self-decomposability; semistability; generating functional; continuous convolution semigroup; contractive automorphisms

PL

grupa nilpotentna Lie; ulegający własnemu rozkładowi; pół-stabilność; tworzenie funkcjonalne; pół-grupa ciągłego zwoju; automorfizm umowny

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2001
• Tom: Vol. 7, nr 1
• Strony: 1--22
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Hazod W.

• Department of Mathematics, University of Dortmund, D-44221 Dortmund, Germany

autor

Shah R.

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Bombay 400 005, India

Bibliografia

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