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A Note on the Closed Rangeness of Vector Bundle Valued Tangential Cauchy—Riemann Operator

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Book cover Analysis and Geometry in Several Complex Variables

Part of the book series: Trends in Mathematics ((TM))

Abstract

We prove the vector bundle value version of J. J. Kohn’s closed range theorem over three dimensional strongly pseudoconvex CR manifolds. That closed range theorem is a crucial step toward CR construction of the semi-universal family of normal isolated surface singularities (cf. [11]).

Partially supported by Grant-in-Aid for Scientific Research (No. 09640123), the Ministry of Education and Culture of Japan

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References

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© 1999 Birkhäuser Boston

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Miyajima, K. (1999). A Note on the Closed Rangeness of Vector Bundle Valued Tangential Cauchy—Riemann Operator. In: Komatsu, G., Kuranishi, M. (eds) Analysis and Geometry in Several Complex Variables. Trends in Mathematics. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2166-1_9

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  • DOI: https://doi.org/10.1007/978-1-4612-2166-1_9

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7441-4

  • Online ISBN: 978-1-4612-2166-1

  • eBook Packages: Springer Book Archive

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