Residue integral formulas and the Radon transform for differential forms onq-linearly concave domains

Autor:	P. L. Polyakov, G. M. Henkin
Rok vydání:	1990
Předmět:	Pure mathematics Radon transform Differential form General Mathematics Complex projective space Homotopy Mathematical analysis Integral equation Manifold Cohomology Mathematics Integral geometry
Zdroj:	Mathematische Annalen. 286:225-254
ISSN:	1432-1807 0025-5831
Popis:	Let D be the q-linearly concave domain in the n-dimensional complex projective space CP n, i.e. for any point z ~ D there exists q-dimensional complex projective subspace A(z) c D containing the point z and smoothly depending on z ~ D. The concept of a q-linearly concave domain [8, 15] is useful specialization of fundamental notion of q-concave manifold [1]. In development of Andreotti-Grauert theory of cohomology of q-concave manifolds [1, 11,13] it was constructed [3, 15] global integral homotopy formulas for the 8-operator in q-concave domains. Based on [15] we prove here a new global integral representation formulas
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::47bb838a4293fb1d06744cae6895942b https://doi.org/10.1007/bf01453574 Zobrazit plný text záznamu Full text from SpringerLink