On the Cauchy problem for holomorphic functions of Lebesgue classL2in domains
β Scribed by A. A. Shlapunov; N. N. Tarkhanov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 714 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Using theorems on functional differential inequalities, we establish new efficient conditions for the solvability as well as unique solvability of the Cauchy type problem for systems of functional differential equations in both linear and nonlinear cases.
We study Hilbert spaces of vector-valued holomorphic sections on tube domains of type II and III. We consider some small representations of the maximal compact subgroups and calculate the norm of each \(K\)-type in the Hilbert spaces. As a consequence we get composition series of the analytic contin