Integral Formulas for the ... ....-Equation and Zeros of Bounded Holomorphic Functions in the Unit Ball.
Integral formulas for the -equation on complex projective algebraic manifolds
Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
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.
Integral kernels and Hölder estimates of ... on pseudoconvex domains of finite type in C2.
Integral representation formulas for Cartan domains. (Formules de représentation intégrale pour les domaines de Cartan.)
Integral representation of -variable positive real functions
Integral representations and coherent states.
Integral representations for solutions of exponential Gauß-Manin systems
Let be two regular functions from the smooth affine complex variety to the affine line. The associated exponential Gauß-Manin systems on the affine line are defined to be the cohomology sheaves of the direct image of the exponential differential system with respect to . We prove that its holomorphic solutions admit representations in terms of period integrals over topological chains with possibly closed support and with rapid decay condition.
Integral representations for some weighted classes of functions holomorphic in matrix domains
In 1945 the first author introduced the classes , 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) ∬ |f(ζ)|p (1-|ζ|²)α dξ dη < ∞ (ζ=ξ+iη) and established the following integral formula for : (2) f(z) = (α+1)/π ∬ f(ζ) ((1-|ζ|²)α)/((1-zζ̅)2+α) dξdη, z∈ . We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes , where: 1) , ; 2) Ω is the matrix domain consisting of those complex m...
Integral representations of analytic functions in unbounded domains with determining manifolds.
Integral representations on weakly pseudoconvex domains.
Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains.
Integral transforms for divisors in and solutions of systems of PDE’s
Intégrales asymptotiques et monodromie
Intégrales asymptotiques et monodromie
Intégrales de Nilsson et faisceaux constructibles
Intégrales de Nilsson et faisceaux constructibles
Intégrales singulières holomorphes
Integrals for holomorphic foliations with singularities having all leaves compact
We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.