Inversion of the Penrose transform and the Cauchy-Fantappie formula

DOI10.1016/J.GEOMPHYS.2014.01.010zbMath1287.32001OpenAlexW2044616989MaRDI QIDQ2437067

Simon G. Gindikin

Publication date: 28 February 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.01.010

zbMATH Keywords

Radon transformCauchy-Fantappie formularesidue-classresidue-form

Mathematics Subject Classification ID

Radon transform (44A12) Twistor methods in differential geometry (53C28) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Cites Work

• Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis
• Cohomology and massless fields
• Holomorphic realization of \(\overline{\partial}\)-cohomology and constructions of representations
• Second Cauchy-Fantappiè formula and Martineau duality
• Sur la topologie des espaces de fonctions holomorphes
• Helgason’s Conjecture in Complex Analytical Interior
• The Cauchy-Fantappiè formula on projective space
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
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