FK-Space for entire Dirichlet functions.

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.

On bases in the spaces of Dirichlet transformations of finite order $ρ$

Kamthan, P.K., Singh Gautam, S.K. (1979)

Portugaliae mathematica

Similarity:

Entire functions on locally convex spaces and convolution operators

Mario C. Matos, Leopoldo Nachbin (1981)

Compositio Mathematica

Similarity:

A theorem on entire methods of summation

G. Fricke, R. E. Powell (1970)

Compositio Mathematica

Similarity:

Displaying similar documents to “FK-Space for entire Dirichlet functions.”

Certain Operators in the space analytic Dirichlet transformations.

Entire methods of summation

Holomorphic extension of a function whose odd derivatives are summable

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

On bases in the spaces of Dirichlet transformations of finite order ρ

Entire functions on locally convex spaces and convolution operators

A theorem on entire methods of summation

On bases in the spaces of Dirichlet transformations of finite order $ρ$