نتایج جستجو برای: fourier stieltjes algebra

تعداد نتایج: 131678  

Journal: :Symmetry, Integrability and Geometry: Methods and Applications 2007

1995
Galliano VALENT Walter VAN ASSCHE

In the recent new edition of the collected works of T.J. Stieltjes, one of us gave an impression of the impact of Stieltjes' work a century after his death 43]. In this paper we give an update and mention some observations which were missing from 43] and some results which appeared during the last two years and which are directly related to Stieltjes' work. In particular there is a large sectio...

Journal: :Journal of Statistical Mechanics: Theory and Experiment 2021

Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived based on Jordan-Schwinger boson realization SU(2) algebra. It shown that equations can be obtained as zeros related extended Heine-Stieltjes polynomials. Symmetry properties excited levels system and polynomials are discussed. As an example application theory, two equal spin case studied in detail, which demonstrates each ban...

2015

We are interested in the special Heun equation, " special " means that all exponent differences are odd multiples of 1/2. Heun means 4 regular singularities.

Journal: :Journal of Approximation Theory 2003
Jeffrey S. Geronimo Theodore P. Hill

The pointwise limit S of a sequence of Stieltjes transforms (Sn) of real Borel probability measures (Pn) is itself the Stieltjes transform of a Borel p.m. P if and only if iy S(iy) → −1 as y → ∞, in which case Pn converges to P in distribution. Applications are given to several problems in mathematical physics.

2002
MIHAELA T. MATACHE VALENTIN MATACHE

We consider the reproducing kernel Hilbert space Hμ induced by a kernel which is obtained using the Fourier-Stieltjes transform of a regular, positive, finite Borel measure μ on a locally compact abelian topological group Γ. Denote by G the dual of Γ. We determine Hμ as a certain subspace of the space C0(G) of all continuous function on G vanishing at infinity. Our main application is calculati...

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