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| Home > Articles > Published articles > Sums of an entire function in certain weighted L2-spaces |
| Home > Articles > Published articles > Sums of an entire function in certain weighted L2-spaces |
| Date: | 2003 |
| 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Entire functions ; Bergman spaces ; Difference operators ; Translation operators ; A priori estimates |
| Published in: | Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 211-236, ISSN 2014-4350 |
