Interpolation problems in \(C^ n\) with applications to harmonic analysis
From MaRDI portal
Publication:1154067
DOI10.1007/BF03033881zbMath0464.42003MaRDI QIDQ1154067
B. Alan Taylor, Carlos. A. Berenstein
Publication date: 1980
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Trigonometric interpolation (42A15) Interpolation in approximation theory (41A05) Analytic subsets and submanifolds (32C25) Entire functions of several complex variables (32A15) Plurisubharmonic functions and generalizations (32U05)
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Cites Work
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- Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
- Théorie des fonctions moyenne-périodiques de deux variables
- A new look at interpolation theory for entire functions of one variable
- Mean-periodic functions
- Einige elementare Ungleichungen für Exponentialpolynome
- Remarques sur un théorème de J. Delsarte
- Counterexamples to a problem of L. Schwartz
- Invertible operators and interpolation in AU spaces
- Variations on a theorem of Abel
- The three-squares theorem for continuous functions
- Finitely generated ideals in rings of analytic functions
- Analytically uniform spaces and their applications to convolution equations
- Analyticity and the Pompeiu problem
- Spectral synthesis and the Pompeiu problem
- Théorie générale des fonctions moyenne-périodiques
- On properties of sequences of linear aggregates that converge in a region in which the system of functions generating the linear aggregates is not complete
- Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
- A lower estimate for exponential sums
- Local extension of solutions of systems of linear differential equations with constant coefficients
- Generators for some rings of analytic functions
- Analytically uniform spaces of infinitely differentiable functions
- GENERALIZED BASES IN CERTAIN RINGS OF HOLOMORPHIC FUNCTIONS