Sums of an entire function in certain weighted \(L^2\)-spaces (Q1425309)
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scientific article; zbMATH DE number 2057944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of an entire function in certain weighted \(L^2\)-spaces |
scientific article; zbMATH DE number 2057944 |
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Sums of an entire function in certain weighted \(L^2\)-spaces (English)
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16 March 2004
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The author considers the entire solutions of the functional equation \(f(z+\sigma)-f(z)=g(z)\), where \(\sigma\) is a nonzero constant and \(g(z)\) is a given entire function, with growth conditions. By an a priori estimate method in certain weighted \(L^{2}\)-spaces, the author proves the existence of certain types of solutions of this equation.
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entire functions
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Bergman spaces
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difference operators
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translation operators
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a priori estimates
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0.9127717
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0.91188765
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0.9115697
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0.89472497
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