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Tangential Cauchy-Riemann equations on quadratic CR manifolds - MaRDI portal

Tangential Cauchy-Riemann equations on quadratic CR manifolds (Q2569840)

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Tangential Cauchy-Riemann equations on quadratic CR manifolds
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    Tangential Cauchy-Riemann equations on quadratic CR manifolds (English)
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    20 October 2005
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    Summary: We study the tangential Cauchy-Riemann equations \( \overline{\partial}_{b} u = \omega\) for \((0, q)\)-forms on quadratic CR manifolds. We discuss solvability for data \(\omega\) in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form.
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    tangential Cauchy-Riemann complex
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    Kohn Laplacian
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    CR manifolds
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    global solvability
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    hypoellipticity
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