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On the eigenvalues of a class of hypoelliptic operators. IV. (English) Zbl 0417.47024

##### MSC:
 47Gxx Integral, integro-differential, and pseudodifferential operators 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 35S05 Pseudodifferential operators as generalizations of partial differential operators
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##### References:
 [1] L. HÖRMANDER, A class of hypoelliptic pseudodifferential operators with double characteristics, Math. Ann., 217 (1975), 165-188. · Zbl 0306.35032 [2] J. KARAMATA, Neuer beweis und verallgemeinerung der tauberschen Sätze etc., J. Reine u. Angew. Math., 164 (1931), 27-39. · JFM 57.0262.01 [3] A. MELIN, Lower bounds for pseudo-differential operators, Ark. f. Math., 9 (1971), 117-140. · Zbl 0211.17102 [4] A. MELIN and J. SJÖSTRAND, Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem, Comm. P.D.E., 1 (1976), 313-400. · Zbl 0364.35049 [5] A. MELIN and J. SJÖSTRAND, A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem, Comm. P.D.E., 2 (1977), 857-935. · Zbl 0392.35055 [6] A. MENIKOFF and J. SJÖSTRAND, On the eigenvalues of a class of hypoelliptic operators, Math. Ann., 235 (1978), 55-85. · Zbl 0375.35014 [7] A. MENIKOFF and J. SJÖSTRAND, On the eigenvalues of a class of hypoelliptic operators II, Springer L. N., n°755, 201-247. · Zbl 0444.35019 [8] A. MENIKOFF and J. SJÖSTRAND, The eigenvalues of hypoelliptic operators, III, the non semibounded case, Journal d’Analyse Math., 35 (1979), 123-150. · Zbl 0436.35065 [9] J. SJÖSTRAND, Eigenvalues for hypoelliptic operators and related methods, Proc. Inter. Congress of Math., Helsinki, 1978, 445-447.
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