Integral formulas and an explicit version of the fundamental principle

Keywords

Mathematics, Calculus (dental), Mathematical analysis, Pure mathematics, Geometry

References

• Les courants résiduels associés à une forme méromorpheNicolas R. Coleff, Miguel E. Herrera — 1978
• Théorie des distributionsLaurent Schwartz — 1966
• Fourier analysis in several complex variablesLeon Ehrenpreis — 1970
• Linear Differential Operators with Constant CoefficientsVictor Palamodov — 1970
• A shortcut to weighted representation formulas for holomorphic functionsMats Andersson, Mikael Passare — 1988
• Henkin-Ramirez formulas with weight factorsBo Berndtsson, Mats Andersson — 1982
• A formula for interpolation and division in ℂnBo Berndtsson — 1983
• Rings of differential operatorsJ. Björk — 1979
• Residues, currents, and their relation to ideals of holomorphic functions.Mikael Passare — 1988
• Courants meromorphes et egalite de la valeur principale et de la partie finieM. Passare — 1987
• Formules de division et prolongement meromorpheA. Yger — 1987

Cited by

• A new division formula for complete intersectionsMikael Passare — 1991
• Residual ∂-cohomology and the complex Radon transform on subvarieties of C P^nGennadi M. Henkin, Peter L. Polyakov — 2012
• Version explicite du principe fondamental d'ehrenpreis-malgrange-palamodov dans le cas non homogèneStéphane Rigat — 1997
• Residue currents with prescribed annihilator ideals on singular varietiesRichard Lärkäng — 2012
• Convolution Equations in spaces of Entire Functions of Exponential TypeV. M. Trutnev — 2004
• Various approaches to products of residue currentsRichard Lärkäng, Håkan Samuelsson Kalm — 2010
• Decomposition of residue currentsMats Andersson, Elizabeth Wulcan — 2007
• On the integrability of linear and nonlinear partial differential equationsA. S. Fokas — 2000
• Residue currents constructed from resolutions of monomial idealsElizabeth Wulcan — 2007
• Weighted integral formulas on manifoldsElin Götmark — 2006
• Fourier integral representation of harmonic functions in terms of a currentHideshi Yamane — 2002
• On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functionsV. M. Trutnev, A. K. Tsikh — 1995
• Ideals of smooth functions and residue currentsMats Andersson — 2004
• Residue currents with prescribed annihilator idealsMats R. Andersson, Elizabeth Wulcan — 2005
• Application of the fundamental principle to complex Cauchy problemStéphane Rigat — 2000
• Residue currents and ideals of holomorphic functionsMats Andersson — 2004
• Fourier-Ehrenpreis integral formula for harmonic functionsHideshi Yamane — 2004
• Inversion formulas for complex radon transform on projective varieties and boundary value problems for systems of linear PDEsGennadi M. Henkin, Peter L. Polyakov — 2011
• Integral representation with weights II, division and interpolationMats Andersson — 2005
• Ehrenpreis Type Representations and Their Riemann–Hilbert NonlinearisationA. S. Fokas — 2003

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