On Singular Complex Surfaces with Negative Canonical Bundle, with Applications to Singular Compactifications of C2 and to 3-Dimensional Rational Singularities.
On singular complex surfaces with vanishing geometric genus, and pararational singularities
On Smoothable Curve Singularities: Local Methods.
On solutions of the KZ and qKZ equations at level zero
On Solvable Generalized Calabi-Yau Manifolds
We give an example of a compact 6-dimensional non-Kähler symplectic manifold that satisfies the Hard Lefschetz Condition. Moreover, it is showed that is a special generalized Calabi-Yau manifold.
On some characterizations of Carleson type measure in the unit ball.
On some generalizations of Jacobi's residue formula
On some global semianalytic sets
We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.
On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk.
On some new embedding theorems for some analytic classes in the unit ball.
On some noetherian rings of germs on a real closed field
Let R be a real closed field, and denote by the ring of germs, at the origin of Rⁿ, of functions in a neighborhood of 0 ∈ Rⁿ. For each n ∈ ℕ, we construct a quasianalytic subring with some natural properties. We prove that, for each n ∈ ℕ, is a noetherian ring and if R = ℝ (the field of real numbers), then , where ₙ is the ring of germs, at the origin of ℝⁿ, of real analytic functions. Finally, we prove the Real Nullstellensatz and solve Hilbert’s 17th Problem for the ring .
On Some of Professor Peter Rusev's Contributions
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...
On some properties of a differential operator on the polydisk.
On some properties of holomorphic spaces based on Bergman metric ball and Luzin area operator.
On some rigidity properties of mappings between CR-submanifolds in complex space
We survey some recent results on holomorphic or formal mappings sending real submanifolds in complex space into each other. More specifically, the approximation and convergence properties of formal CR-mappings between real-analytic CR-submanifolds will be discussed, as well as the corresponding questions in the category of real-algebraic CR-submanifolds.
On some specific nonlinear ordinary difference equations
On spaces of holomorphic functions in ℂⁿ
Following the line of Ouyang et al. (1998) to study the spaces of holomorphic functions in the unit ball of ℂⁿ, we present in this paper several results and relations among , the α-Bloch, the Dirichlet and the little spaces.
On Spaces of Kleinian Groups
On special values for pencils of plane curve singularities.
On splitting up singularities of fundamental solutions to elliptic equations in ℂ2
It is known that the fundamental solution to an elliptic differential equation with analytic coefficients exists, is determined up to the kernel of the differential operator, and has singularities on characteristics of the equation in ℂ2. In this paper we construct a representation of fundamental solution as a sum of functions, each of those has singularity on a single characteristic.