Keywords
- Analytic Representation
- Negative Eigenvalue
- Pseudoconvex Domain
- Levi Form
- Arbitrary Codimension
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ANDREOTTI, A. and C. DENSON-HILL: E. E. Levi convexity and the Hans Lewy problem, Ann. Scuola Norm. Sup. Pisa 26 (1972), 325–363.
—, —, S. ŁOJASIEWICZ, and B. MACKICHAN: Complexes of differential operators, Invent. Math. 35 (1976), 43–86.
FISCHER, W. und I. LIEB: Lokale Kerne und beschränkte Lösungen für den ∂-Operator auf q-konvexen Gebieten, Math. Ann. 208 (1974), 249–265.
HÖRMANDER, L.: L2-estimates and existence theorems for the ∂-operator, Acta Math. 113 (1965), 89–152.
HUNT, L. R., J. C. POLKING, and J. STRAUSS: Unique continuation for solutions to the induced Cauchy-Riemann equations, J. Diff. Equations 23 (1977), 436–447.
KASHIWARA, M. and T. KAWAI: On the boundary value problem for elliptic systems of linear differential equations, Proc. Japan Acad. 48 (1972), 712–715.
MARTINEAU, A.: Distributions et valeurs au bord des fonctions holomorphes, Proc. of the Internat. Summer Institute, Lisbon 1964.
NIRENBERG, R.: On the H. Lewy extension phenomenon, Trans. Amer. Math. Soc. 168 (1972), 337–356.
NORGUET, F.: Problèmes sur les formes différentielles des courants, Ann. Inst. Fourier 11 (1960), 1–88.
POLKING, J. C. and R. O. WELLS: Hyperfunction boundary values and a generalized Bochner-Hartogs theorem, Proc. Symp. Pure Math. 30 (1977), 187–193.
RANGE, R. M. and Y. T. SIU: Uniform estimates for the ∂-equation on domains with piecewise smooth strictly pseudoconvex boundaries, Math. Ann. 206 (1974), 325–354.
— and —: Ck-approximation by holomorphic functions and ∂-closed forms on Ck-submanifolds of a complex manifold, Math. Ann. 210 (1974), 105–122.
SATO, M., T. KAWAI, and M. KASHIWARA: Microfunctions and pseudo-differential equations, Springer-Verlag, Berlin-Heidelberg-New York 1973.
TILLMANN, H. G.: Randverteilungen analytischer Funktionen und Distributionen, Math. Z. 59 (1953), 61–83.
WELLS, R. O.: Function theory on differentiable submanifolds, in: Contributions to Analysis, Academic Press, New York 1974, pp. 407–441.
POLJAKOV, P. L.: Banach cohomology on piecewise strictly pseudoconvex domains [in Russian], Mat. Sb. (N. S.) 88 (130) (1972), 239–255.
HENKIN, G. M.: Integral representation of functions which are holomorphic in strictly pseudoconvex regions, and some applications [in Russian], Mat. Sb. (N. S.) 78 (120) (1969), 611–632.
—: A uniform estimate for the solution of the ∂-problem in a Weil region [in Russian], Uspehi Mat. Nauk 26 (1971), no. 3 (159), 211–212.
ČIRKA, E. M.: Analytic representations of CR-functions [in Russian], Mat. Sb. (N. S.) 98 (140) (1975), 591–623 and 640.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Henkin, G.M. (1980). Analytic representation for cr-functions on submanifolds of codimension 2 in ¢n . In: Ławrynowicz, J. (eds) Analytic Functions Kozubnik 1979. Lecture Notes in Mathematics, vol 798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097264
Download citation
DOI: https://doi.org/10.1007/BFb0097264
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09985-7
Online ISBN: 978-3-540-39247-7
eBook Packages: Springer Book Archive
