A theorem on entire methods of summation
G. Fricke, R. E. Powell (1970)
Compositio Mathematica
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G. Fricke, R. E. Powell (1970)
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Ivo Vrkoč (1985)
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Bruno Brive (2003)
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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 L-spaces.
Pawan Kumar Kamthan (1969)
Collectanea Mathematica
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B. Mitiagin, S. Rolewicz, W. Żelazko (1962)
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S. Rolewicz (1963)
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Mario C. Matos, Leopoldo Nachbin (1981)
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