1 citations · 5 across the 9 of their papers we have counts for
9 papers · 1 filter
Nonlinear Convergence Sets of Divergent Power Series
Buma L. Fridman, Daowei Ma, Tejinder Neelon
A nonlinear generalization of convergence sets of formal power series, in the sense of Abhyankar-Moh, is introduced. Given a family y=ϕ_{s}(t,x)=sb_{1}(x)t+b_{2}(x)t^{2}+... of ana…
Testing holomorphy on curves
Buma L. Fridman, Daowei Ma
For a domain we construct a continuous foliation of into one real dimensional curves such that any function which can be extended holomor…
Holomorphic functions on subsets of C
Buma L. Fridman, Daowei Ma
Let be a curve in containing 0; it becomes after rotation by angle about 0. Suppose a function can be extended holomorphically t…
Osgood-Hartogs type properties of power series and smooth functions
Buma L. Fridman, Daowei Ma
We study the convergence of a formal power series of two variables if its restrictions on curves belonging to a certain family are convergent. Also analyticity of a given $C^\infty…
Isolated fixed point sets for holomorphic maps
Buma L. Fridman, Daowei Ma, Jean-Pierre Vigue
We study discrete fixed point sets of holomorphic self-maps of complex manifolds. The main attention is focused on the cardinality of this set and its configuration. As a consequen…
Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold
Buma L. Fridman, Daowei Ma, Jean-Pierre Vigue
We study fixed point sets for holomorphic automorphisms (and endomorphisms) on complex manifolds. The main object of our interest is to determine the number and configuration of fi…