Sums of an entire function in certain weighted L2-spaces.

Brive, Bruno. "Sums of an entire function in certain weighted L2-spaces.." Publicacions Matemàtiques 47.1 (2003): 211-236. <http://eudml.org/doc/41486>.

@article{Brive2003,
abstract = {We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.},
author = {Brive, Bruno},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones funcionales; Función entera; Operadores de traslación; Funciones de variable compleja; Espacios de Bergman; entire functions; Bergman spaces; difference operators; translation operators; a priori estimates},
language = {eng},
number = {1},
pages = {211-236},
title = {Sums of an entire function in certain weighted L2-spaces.},
url = {http://eudml.org/doc/41486},
volume = {47},
year = {2003},
}

TY - JOUR
AU - Brive, Bruno
TI - Sums of an entire function in certain weighted L2-spaces.
JO - Publicacions Matemàtiques
PY - 2003
VL - 47
IS - 1
SP - 211
EP - 236
AB - We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.
LA - eng
KW - Ecuaciones funcionales; Función entera; Operadores de traslación; Funciones de variable compleja; Espacios de Bergman; entire functions; Bergman spaces; difference operators; translation operators; a priori estimates
UR - http://eudml.org/doc/41486
ER -