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Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.

Bo Berndtsson (1988)

Publicacions Matemàtiques

We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.

Integrals with respect to a Radon measure added to area type functionals: semi-continuity and relaxation

Michele Carriero, Antonio Leaci, Eduardo Pascali (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Diamo condizioni sulle funzioni f , g e sulla misura μ affinché il funzionale F ( u ) = Ω f ( x , u , D u ) d x + Ω ¯ g ( x , u ) d μ sia L 1 ( Ω ) -semicontinuo inferiormente su W 1 , 1 ( Ω ) C 0 ( Ω ¯ ) . Affrontiamo successivamente il problema del rilassamento.

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