Peloso, Marco M. and Ricci, Fulvio:
Tangential Cauchy-Riemann equations on quadratic manifolds
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 13 (2002), fasc. n.3-4, p. 285-294, (English)
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We study the tangential Cauchy-Riemann equations $\bar{\partial}_{b} u = \omega$ 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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