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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 559 - 575 (17page)
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A commutative hypercomplex system L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B, r), (A,B ∈ beta(Q)). Such space has been studied by Berezanskii and Krein. Our main purpose is to establish a generalization of convolution semigroups and to discuss the role of the Le'vy measure in the L´evy-Khinchin representation in terms of continuous negative definite functions on the dual hypercomplex system.
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참고문헌 (15)
참고문헌 신청
A. A. Kalyuzhnyi / 1983 / A theorem on the existence of multiplicative measure / Ukr. Math. Zh 35 (3) : 369 ~ 371
A. M. Zabal / 2007 / Negative definite functions on hypercomplex systems / Accepted for publication in Kyungbook Math. J
C. Berg / 1975 / Potential Theory on Locally Compact Abelian Groups / Springer-Verlage, Berlin-Heidelberg-New York
C. Berg / 1984 / Harmonic Analysis on Semigroups / Springer-Verlage, Berlin-Heidelberg-New York
G. A. Hunt / 1956 / Semigroups of measures on Lie groups / Trans. Amer. Math. Soc 81 : 264 ~ 293
A. M. Zabal / 2007 / Negative definite functions on hypercomplex systems / Accepted for publication in Kyungbook Math. J
C. Berg / 1975 / Potential Theory on Locally Compact Abelian Groups / Springer-Verlage, Berlin-Heidelberg-New York
C. Berg / 1984 / Harmonic Analysis on Semigroups / Springer-Verlage, Berlin-Heidelberg-New York
G. A. Hunt / 1956 / Semigroups of measures on Lie groups / Trans. Amer. Math. Soc 81 : 264 ~ 293
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