A New Look at Interpolation Theory for Entire Functions of One Variable

@inproceedings{Berenstein2005ANL,
  title={A New Look at Interpolation Theory for Entire Functions of One Variable},
  author={Carlos Alberto Berenstein and B. A. Taylor},
  year={2005}
}
The existence of solutions of the inhomogeneous Cauchy-Riemann equations as a powerful tool in the study of analytic functions of several complex variables is well demonstrated in t h e monograph [22] of L. H6rmander. The main objective of this expository paper is to show how this technique can be used tO Unify and simplify the study of interpolation problems for entire functions of one complex variable. The problems we consider are typified by the following model. Let {ze} be a sequence of… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 18 references

B~RENSTEIN, Interpolation and Fourier analysis in several complex variables, in "Proceedings of the International Conference on Harmonic Analysis and Several Complex Variables, Cortona

C A.
1976
View 3 Excerpts
Highly Influenced

DOSTAL, A lower estimate for exponential sums

M.A.C.A. BEaZSTEIN
Bull. Amer. Math. Soc • 1974
View 3 Excerpts
Highly Influenced

AHLFORS, "Complex Analysis," McGraw-Hill

L V.
New York, • 1966
View 3 Excerpts
Highly Influenced

Interpolation by analytic functions of bounded growth

D. L. HILLIKER
1976

DOSTAL, "Analytically Uniform Spaces and Their Applications to Convolution Equations,

M.A.C.A. BEmZNSTEIN
1972

TAYLOR , A seminorm topology for some ( DF )spaces of entire functions

A. B.
Dz ~ ke Math . J . • 1972

Algebraic values of meromorphic maps

E. BOMBIERI
Invent. Math • 1970
View 1 Excerpt

On the interpolation of entire functions , Sibirsh

A. I. BORISEVICH AND G. P. LAPIN
1970

Functional analysis proofs of some theorems in function theory

A. TAYLOR
Amer . Math . Monthly • 1968

The multiple interpolation problem in the space of entire functions of given proximatz order , Math

Ju. F. KOROBEINIK
1968

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