Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
Reinhold Meise (1989)
Studia Mathematica
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Displaying similar documents to “Sequence space representations for (FN)-algebras of entire functions modulo closed ideals”
Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
Complemented kernels of partial differential operators in weighted spaces of (generalized) functions
Michael Langenbruch (1988)
Studia Mathematica
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On spaces of holomorphic functions
S. Rolewicz (1962)
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Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc
Siegfried Momm (1990)
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R. Brooks (1971)
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Joe Jenkins (1989)
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Pawan Kumar Kamthan (1970)
Czechoslovak Mathematical Journal
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Blambert, M., Parvatham, R. (1979)
International Journal of Mathematics and Mathematical Sciences
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Interpolating varieties for weighted spaces of entire functions in C.
Carlos A. Berenstein, Qin Li Bao (1994)
Publicacions Matemàtiques
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We prove in this paper that a given discrete variety V in C is an interpolating variety for a weight p if and only if V is a subset of the variety {ξ ∈ C: f(ξ) = f(ξ) = ... = f(ξ) = 0} of m functions f, ..., f in the weighted space the sum of whose directional derivatives in absolute value is not less than ε exp(-C(ζ)), ζ ∈ V for some constants ε, C > 0. The necessary and sufficient conditions will be also given in terms of the Jacobian matrix of f, ..., f. As a corollary, we...