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Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. (English) Zbl 0293.35012

MSC:
35B45 A priori estimates in context of PDEs
35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
65H10 Numerical computation of solutions to systems of equations
47Gxx Integral, integro-differential, and pseudodifferential operators
43A80 Analysis on other specific Lie groups
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[1] Andreotti, Ann. Scuola Norm. Sup. Pisa 26 pp 325– (1971)
[2] Boutet de Monvel, Hypoelliptic operators with double characteristics and related pseudodifferential operators · Zbl 0294.35020
[3] Boutet de Monvel, Invent. Math. 24 pp 1– (1974)
[4] Comm. Pure Appl. Math. 27 pp 59– (1974)
[5] Lebesgue spaces of differentiable functions and distributions, Proc. Symp. Pure Math., Vol. 4, Amer. Math. Soc., 1961, pp. 33–49.
[6] Theory of Lie Groups, Princeton Univ. Press, Princeton, N. J., 1946.
[7] and , Analyse Harmonique Non-commutative sur Certains Espaces Homogènes, Lecture Notes in Math. #242, Springer-Verlag, Berlin-New York, 1971. · Zbl 0224.43006 · doi:10.1007/BFb0058946
[8] Folland, Trans. Amer. Math. Soc. 171 pp 83– (1972)
[9] Folland, Bull. Amer. Math. Soc. 79 pp 373– (1973)
[10] and , The Neumann Problem for the Cauchy-Riemann Complex, Ann. of Math. Studies #75, Princeton Univ., Press, Princeton, N. J., 1972.
[11] Folland, Bull. Amer. Math. Soc. 80 pp 253– (1974)
[12] Greenfield, Ann. Scuola Norm. Sup. Pisa 22 pp 275– (1968)
[13] Grushin, Mat. Sbornik 84 pp 111– (1971)
[14] Math. USSR Sbornik 13 pp 155– (1971)
[15] Guillemin, Proc. Nat. Acad. Sci. USA 67 pp 271– (1970)
[16] Hörmander, Ann. of Math. 83 pp 129– (1966)
[17] Hörmander, Acta Math. 119 pp 147– (1967)
[18] Jones, Amer. J. Math. 86 pp 441– (1964)
[19] Homogeneous Bounded Domains and Siegel Domains, Lecture Notes in Math. #241, Springer-Verlag, Berlin-New York, 1971.
[20] Kerzman, Comm. Pure Appl. Math. 24 pp 301– (1971)
[21] Knapp, Ann. of Math. 93 pp 489– (1971)
[22] Boundaries of complex manifolds, Proc. Conference on Complex Manifolds, Minneapolis, 1964, pp. 81–94.
[23] Pseudodifferential operators and non-elliptic problems, Pseudodifferential Operators (C. I. M. E., Stresa, 1968), Edizioni Cremonese, Rome, 1969, pp. 157–165.
[24] Kohn, Symposia Mathematica 7 pp 459– (1971)
[25] Kohn, Comm. Pure Appl. Math. 18 pp 443– (1965)
[26] Kohn, Ann. of Math. 81 pp 451– (1965)
[27] Korányi, Ann. Scuola Norm. Sup. Pisa 25 pp 575– (1971)
[28] Kuranishi, J. Diff. Geom. 6 pp 421– (1972)
[29] J. Diff. Geom. 7 pp 97– (1972)
[30] Lewy, Ann. of Math. 66 pp 155– (1957)
[31] Lions, Publ. Math. Inst. Hautes Etudes Sci. 19 pp 5– (1964)
[32] Nirenberg, Uspehi Mat. Nauk
[33] Nirenberg, Trans. Amer. Math. Soc. 168 pp 337– (1972)
[34] Radkevich, Mat. Sbornik 79 pp 193– (1969)
[35] Math. USSR Sbornik 8 pp 181– (1969)
[36] Rivière, Bull. Amer. Math. Soc. 75 pp 843– (1969)
[37] Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N. J., 1970. · Zbl 0207.13501
[38] Stein, Proc. Internat. Congress Math. Nice 1 pp 173– (1970)
[39] Stein, Bull. Amer. Math. Soc. 79 pp 440– (1973)
[40] Lectures on Singular Integrals and Pseudo-differential Operators, Princeton Univ., Press, Princeton, N. J., to appear.
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