Free Biholomorphic Classification of Noncommutative Domains
نویسندگان
چکیده
منابع مشابه
Local Boundary Regularity of the Szegő Projection and Biholomorphic Mappings of Non-pseudoconvex Domains
It is shown that the Szegő projection S of a smoothly bounded domain Ω, not necessarily pseudoconvex, satisfies local regularity estimates at certain boundary points, provided that condition R holds for Ω. It is also shown that any biholomorphic mapping f : Ω → D between smoothly bounded domains extends smoothly near such points, provided that a weak regularity assumption holds for D. 1. Prelim...
متن کاملFree analysis, convexity and LMI domains
This paper concerns the geometry of noncommutative domains and analytic free maps. These maps are free analogs of classical analytic functions in several complex variables, and are defined in terms of noncommuting variables amongst which there are no relations they are free variables. Analytic free maps include vector-valued polynomials in free (noncommuting) variables and form a canonical clas...
متن کاملAnalytic Continuation of a Biholomorphic Mapping
0. Introduction and Preliminary 2 0.1. Existence and uniqueness theorem 2 0.2. Equation of a chain 7 1. Nonsingular matrices 9 1.1. A family of nonsingular matrices 9 1.2. Sufficient condition for Nonsingularity 12 1.3. Estimates 16 2. Local automorphism group of a real hypersurface 23 2.1. Polynomial Identities 23 2.2. Injectivity of a Linear Mapping 33 2.3. Beloshapka-Loboda Theorem 42 3. Com...
متن کاملNoncommutative characterization of free Meixner processes ∗
In this article we give a purely noncommutative criterion for the characterization of free Meixner random variables. We prove that some families of free Meixner distributions can be described in terms of the conditional expectation, which has no classical analogue. We also show a generalization of Speicher’s formula (relating moments and free cumulants) and establish a new relation in free prob...
متن کاملThe lsomorphisms of Unitary Groups over Noncommutative Domains*
The isomorphisms between projective unitary congruence groups are known when the underlying Witt indices are 33, the underlying spaces are finite dimensional, and the underlying integral domains are commutative [15, 161. Here we extend these results to noncommutative domains possessing a division ring of quotients and to arbitrary dimensions. Our development allows unitary and symplectic groups...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2010
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnq093