Results 1 to 5 of about 5 (5)
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 Through the systematic use of the Minlos theorem on the support of cylindrical measures on R∞, we produce several mathematically rigorous finite‐volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite‐volume Laplacian operator.
Luiz C. L. Botelho, Klaus Kirsten
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Ergodic sequences of probability measures on commutative hypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 335-343, 2004., 2004 We study conditions on a sequence of probability measures {μn}n on a commutative hypergroup K, which ensure that, for any representation π of K on a Hilbert space ℋπ and for any ξ ∈ ℋπ, (∫Kπx(ξ)dμn(x)) n converges to a π‐invariant member of ℋπ.
Liliana Pavel
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Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2937-2945, 2004., 2004 The analytic self‐map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach space Y if Cφ(f) = f∘φ ∈ Y for all f ∈ X. For z ∈ D and α > 0, the families of weighted Cauchy transforms Fα are defined by f(z)=∫TKxα(z)dμ(x), where μ(x) is complex Borel measure, x belongs to the unit circle T, and the kernel ...
Yusuf Abu Muhanna, El-Bachir Yallaoui
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On vector‐valued Hardy martingales and a generalized Jensen′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 527-532, 2003., 2003 We establish a generalized Jensen′s inequality for analytic vector‐valued functions on 𝕋N using a monotonicity property of vector‐valued Hardy martingales. We then discuss how this result extends to functions on a compact abelian group G, which are analytic with respect to an order on the dual group.
Annela R. Kelly, Brian P. Kelly
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Self‐similar random fractal measures using contraction method in probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3299-3313, 2003., 2003 Self‐similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures. In this paper, we use contraction method in probabilistic metric spaces to prove the existence and uniqueness of self‐similar
József Kolumbán +2 more
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