Cite this article as:
Volkovaya V. A. Synthesis in the Polynomial Kernel of Two Analytic Functionals. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2014, vol. 14, iss. 3, pp. 251-262. DOI: https://doi.org/10.18500/1816-9791-2014-14-3-251-262
Language:
Russian
Heading:
UDC:
517.5
Synthesis in the Polynomial Kernel of Two Analytic Functionals
Abstract:
Let ¼ be an entire function of minimal type and order ½ = 1 and let ¼(D) be the corresponding differential operator. Maximal ¼(D)-invariant subspace of the kernel of an analytic functional is called its C[¼]-kernel. C[¼]-kernel of a system of analytic functionals is called the intersection of theirC[¼]-kernels. The paper describes the conditions which allow synthesis ofC[¼]-kernels of two analytical functionals with respect to the root elements of the differential operator ¼(D).
Key words:
References
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