A property of subspaces admitting spectral synthesis
Journal Article
·
· Sbornik. Mathematics
- Institute of Mathematics with Computer Centre, Russian Academy of Sciences, Ufa (Russian Federation)
Let H be the space of holomorphic functions in a convex domain G subset of C. The following result is established: each closed subspace W subset of H that is invariant with respect to the operator of differentiation and admits spectral synthesis can be represented as the solution set of two (possibly coinciding) homogeneous convolution equations.
- OSTI ID:
- 21202847
- Journal Information:
- Sbornik. Mathematics, Vol. 190, Issue 4; Other Information: DOI: 10.1070/SM1999v190n04ABEH000388; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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