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Représentation intégrale de certaines mesures quasi-invariantes sur 𝒞 ( 𝐑 ) ; mesures extrémales et propriété de Markov

Gilles Royer, Marc Yor (1976)

Annales de l'institut Fourier

On établit pour le cône C des mesures μ positives bornées sur 𝒞 ( R ) , quasi-invariantes sous les translations de 𝒟 ( R ) et vérifiant : μ ( f + d w ) = μ ( d w ) exp ∫ R d t [ ( w ( t ) + 1 2 f ( t ) ) f ' ' ( t ) - P ( w ( t ) + f ( t ) + P ( w ( t ) ) ] (avec P polynôme borné inférieurement) les résultats suivants :– Toute mesure de C est intégrale de mesures appartenant aux génératrices extrémales de  C .– Les génératrices extrémales de C sont composées de mesures markoviennes.

Role of the Harnack extension principle in the Kurzweil-Stieltjes integral

Umi Mahnuna Hanung (2024)

Mathematica Bohemica

In the theories of integration and of ordinary differential and integral equations, convergence theorems provide one of the most widely used tools. Since the values of the Kurzweil-Stieltjes integrals over various kinds of bounded intervals having the same infimum and supremum need not coincide, the Harnack extension principle in the Kurzweil-Henstock integral, which is a key step to supply convergence theorems, cannot be easily extended to the Kurzweil-type Stieltjes integrals with discontinuous...

Scattering length and capacity

M. Kac, J. M. Luttinger (1975)

Annales de l'institut Fourier

An expression in terms of the Wiener integral for the “scattering length” is given and used to discuss the relation between this quantity and electrostatic capacity.

Separabilità di L 2 ⁢ ( μ ) per spazi riflessivi, μ misura gaussiana

Adriana Brogini Bratti (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Following H. Sato - Y. Okazaky we will prove that: if X is a topological vector space, locally convex and reflexive, and μ is a gaussian measure on 𝐂 ⁢ ( X , X ′ ) , then L 2 ⁢ ( μ ) is separable.

Sigma-finiteness and regularity of generalized Radon measures.

J. Fernández Novoa (1990)

Collectanea Mathematica

We extend some known sigma-finiteness and regularity results for (locally finite) Radon measures to locally sigma-finite or locally moderated Radon measures of type (H), and we obtain other new ones. The main result states that the regularity and the sigma-finiteness are equivalent for alllocally moderated, diffused, Radon measures of type (H) in a T1 topological space which is either weakly metacompact or paralindelöf (resp. metalindelöf) and has a concassage of Lindelöf (resp. separable) subsets....

Currently displaying 461 – 480 of 636