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Masanori Kishi (1975)
Annales de l'institut Fourier
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Noting that a resolvent is associated with a convolution kernel satisfying the domination principle if and only if has the dominated convergence property, we give some remarks on the existence of a resolvent.
Raouf Doss (1973)
Studia Mathematica
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John C. Taylor (1975)
Annales de l'institut Fourier
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The convolution kernels on a homogeneous space , where is a compact sub-group of , that satisfy the complete maximum principle are characterized. Deny’s result for abelian groups , but with a stronger hypothesis, is a special case.
Michael Christ (1985)
Revista Matemática Iberoamericana
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Evgueni Doubtsov (1998)
Annales de l'institut Fourier
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The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
Louis Pigno, Sadahiro Saeki (1981)
Studia Mathematica
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Shozo Koshi (1995)
Banach Center Publications
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Gunnar Forst (1978)
Annales de l'institut Fourier
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The note gives a simple proof of a result of M. Itô, stating that the set of divisors of a convolution kernel is a convex cone.