Page 1 Next

Displaying 1 – 20 of 103

Showing per page

A Hilbert Lemniscate Theorem in 2

Thomas Bloom, Norman Levenberg, Yu. Lyubarskii (2008)

Annales de l’institut Fourier

For a regular, compact, polynomially convex circled set K in C 2 , we construct a sequence of pairs { P n , Q n } of homogeneous polynomials in two variables with deg P n = deg Q n ...

Alexander’s projective capacity for polydisks and ellipsoids in N

Mieczysław Jędrzejowski (1995)

Annales Polonici Mathematici

Alexander’s projective capacity for the polydisk and the ellipsoid in N is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in N are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in N is proved to have an asymptotic behaviour in N similar to that of the Siciak homogeneous extremal function associated with K.

Analytic potential theory over the p -adics

Shai Haran (1993)

Annales de l'institut Fourier

Over a non-archimedean local field the absolute value, raised to any positive power α > 0 , is a negative definite function and generates (the analogue of) the symmetric stable process. For α ( 0 , 1 ) , this process is transient with potential operator given by M. Riesz’ kernel. We develop this potential theory purely analytically and in an explicit manner, obtaining special features afforded by the non-archimedean setting ; e.g. Harnack’s inequality becomes an equality.

Currently displaying 1 – 20 of 103

Page 1 Next