Outer and inner vanishing measures and division in H∞ + C.

Izuchi, Keiji. "Outer and inner vanishing measures and division in H∞ + C.." Revista Matemática Iberoamericana 18.3 (2002): 511-540. <http://eudml.org/doc/39733>.

@article{Izuchi2002,
abstract = {Measures on the unit circle are well studied from the view of Fourier analysis. In this paper, we investigate measures from the view of Poisson integrals and of divisibility of singular inner functions in H∞ + C. Especially, we study singular measures which have outer and inner vanishing measures. It is given two decompositions of a singular positive measure. As applications, it is studied division theorems in H∞ + C.},
author = {Izuchi, Keiji},
journal = {Revista Matemática Iberoamericana},
keywords = {Algebra de Banach; Algebra de funciones; Funciones analíticas; Función interna; Medidas; Espacio de funciones continuas; Poisson integrals of singular measures on the unit circle; singular inner functions; maximal ideal space; bounded analytic functions; Blaschke products; division in },
language = {eng},
number = {3},
pages = {511-540},
title = {Outer and inner vanishing measures and division in H∞ + C.},
url = {http://eudml.org/doc/39733},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Izuchi, Keiji
TI - Outer and inner vanishing measures and division in H∞ + C.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 3
SP - 511
EP - 540
AB - Measures on the unit circle are well studied from the view of Fourier analysis. In this paper, we investigate measures from the view of Poisson integrals and of divisibility of singular inner functions in H∞ + C. Especially, we study singular measures which have outer and inner vanishing measures. It is given two decompositions of a singular positive measure. As applications, it is studied division theorems in H∞ + C.
LA - eng
KW - Algebra de Banach; Algebra de funciones; Funciones analíticas; Función interna; Medidas; Espacio de funciones continuas; Poisson integrals of singular measures on the unit circle; singular inner functions; maximal ideal space; bounded analytic functions; Blaschke products; division in
UR - http://eudml.org/doc/39733
ER -