The fundamental solution for the Kohn-Laplacian ? b on the sphere in ? n

Jiri Dadok; Reese Harvey

doi:10.1007/bf01420485

journal article Jun 01, 1979

The fundamental solution for the Kohn-Laplacian ? b on the sphere in ? n

Jiri Dadok Reese Harvey

Mathematische Annalen Vol. 244 No. 2 pp. 89-104 · Springer Science and Business Media LLC

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The tangential Cauchy-Riemann complex on spheres

G. B. Folland

Transactions of the American Mathematical Society 1972 10.1090/s0002-9947-1972-0309156-x

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Folland, G.B.: A fundamental solution for a subelliptic operator. Bull. Amer. Math. Soc.79, 373?376 (1973) 10.1090/s0002-9904-1973-13171-4

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Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. of Math. Studies75, Princeton University Press, Princeton, NJ, 1972

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Folland, G.B., Stein, E.M.: Estimates for the ? b -complex and analysis on the Heisenberg group. Comm. Pure Appl. Math.27, 429?522 (1974) 10.1002/cpa.3160270403

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Grenier, P.C., Kohn, J.J., Stein, E.M.: Necessary and sufficient conditions for solvability of the Lewy equation. Proc. Nat. Acad. Sci. USA72, 287?289 (1975)

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Harvey, R., Polking, J.: Fundamental solutions in complex analysis I and II. Duke Math. J.46, 253?340 (1979) 10.1215/s0012-7094-79-04613-1

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Henkin, G.M.: The H. Lewy equation and analysis of pseudoconvex manifolds. Uspehi Mat. Nauk32, (1977), 3; English transl. In Russian Math. Surveys,32 (1977)

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Romanov, A.V.: A formula and estimates for the solutions of the tangential Cauchy-Riemann equations. Dokl. Akad. Nauk USSR220, 532?535 (1975); Eng. transl. in Soviet Math. Dokl.16, 124?128 (1974)

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Romanov, A.V.: A formula and estimates for the solutions of the tangential Cauchy-Riemann equations. Math. Sb.99, 58?83 (1976); English transl. in Math USSR Sb.28, (1976)

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Sato, M.: Regularity of hyperfunction solutions of partial differential equations. Actes Congress Intern. Math. Nice (1970)

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Published: Jun 01, 1979
Vol/Issue: 244(2)
Pages: 89-104
License: View

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Cite This Article

Jiri Dadok, Reese Harvey (1979). The fundamental solution for the Kohn-Laplacian ? b on the sphere in ? n. Mathematische Annalen, 244(2), 89-104. https://doi.org/10.1007/bf01420485

The fundamental solution for the Kohn-Laplacian ? b on the sphere in ? n

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