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The growth of hypoelliptic polynomials and Gevrey classes. (English) Zbl 0238.47031


MSC:

47F05 General theory of partial differential operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] Lars Hörmander, Linear partial differential operators, Third revised printing. Die Grundlehren der mathematischen Wissenschaften, Band 116, Springer-Verlag New York Inc., New York, 1969. · Zbl 0175.39201
[2] Lars Hörmander, On interior regularity of the solutions of partial differential equations, Comm. Pure Appl. Math. 11 (1958), 197 – 218. · Zbl 0081.31501 · doi:10.1002/cpa.3160110205
[3] Hikosaburo Komatsu, A characterization of real analytic functions, Proc. Japan Acad. 36 (1960), 90 – 93. · Zbl 0144.35505
[4] F. Trèves, Linear partial differential equations with constant coefficients: Existence, approximation and regularity of solutions, Math. Appl., vol. 6, Gordon and Breach, New York, 1969. MR 37 #557.
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