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Carleman transformation and Ovcyannikov-Treves operators. (English) Zbl 0508.34005

MSC:

34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
47E05 General theory of ordinary differential operators
Full Text: DOI

References:

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[4] Carleman, T., Application de la théorie des équations intégrales singulières aux équations différentielles de la dynamique, J. Ark. Mat. Astron. Fys., 22B, 1 (1932) · Zbl 0004.15203
[5] Dwyer, T., Fourier-Borel duality and bilinear realization of control systems, (Proc. Research Inst. on Differential/Algebraic Geometry for Control Engineers (1976), Ames Research Center, NASA. Math. Sci. Press: Ames Research Center, NASA. Math. Sci. Press Brookline, MA)
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[13] Ovcyannikov, L. V., Singular operators in Banach spaces scales, Dokl. Akad. Nauk. SSSR, 163, 819-822 (1965) · Zbl 0144.39003
[14] Treves, F., Ovcyannikov Theorem and Hyperdifferential Operators, (Notas de Matematicas No. 46 (1968), Inst. de Mat. Pura e Aplic: Inst. de Mat. Pura e Aplic Rio de Janeiro) · Zbl 0205.39202
[15] Treves, J. F., Basic Linear Partial Differential Equations (1975), Academic Press: Academic Press London · Zbl 0305.35001
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