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18 094 (0,201s)

Result

Necessary conditions for local convexifiability of pseudoconvex domains in C^2

In this paper we give explicit necessary conditions for local convexifiability of a weakly pseudoconvex domain at a point of finite type....

BA - Obecná matematika

  • 2002
  • D
Result

Testing pseudoconvexity via interval computation

We study the problem of checking pseudoconvexity of a twice differentiable function on an interval domain. Based on several characterizations of pseudoconvexity of a real function, we propose sufficient conditions for verif...

Economic Theory

  • 2018
  • Jimp
  • Link
Result

Pseudolocal estimates for $ bar partial$ on general pseudoconvex domains.

Extending the well-known results for smoothly bounded case, we show that subelliptic and pseudolocal estimates hold in the neighbourhood of a smooth strictly pseudoconvex ( or finite type ) boundary point of any pseudoconvex dom...

BA - Obecná matematika

  • 2001
  • Jx
Result

Generalized models and local invariants of Kohn-Nirenberg domains

The main obstruction for constructing holomorphic reproducing kernels of Cauchy type on weakly pseudoconvex domains is the Kohn-Nirenberg phenomenon, i.e an explicit verifiable characterization of weakly pseudoconvex but lo...

BA - Obecná matematika

  • 2008
  • Jx
Result

Hankel operators and the Dixmier trace on strictly pseudoconvex domains

Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2(n) Hankel operators on Bergman spaces of strictly pseudoconvex domains in C-n. The answer turns out to involve the d...

BA - Obecná matematika

  • 2010
  • Jx
Result

Weighted Bergman kernels and balanced metrics

We study existence and uniqueness of balanced metrics on smoothly bounded strictly pseudoconvex domains in the complex n-space. We show that, as with the solution to the Monger-Ampere equation, balanced metrics on such domains

BA - Obecná matematika

  • 2006
  • D
Result

Spectral triples and Toeplitz operators

We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn Cn or the star product for the Berezin?Toeplitz quantizatio...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Sufficient Conditions for Pseudoconvexity by Using Linear Interval Parametric Techniques

The recent paper (DOI: 10.1007/s10898-017-0537-6) suggests various practical tests (sufficient conditions) for checking pseudoconvexity of a twice differentiable function on an interval domain. The tests were implemented using inter...

Economic Theory

  • 2019
  • D
  • Link
Result

On local convexifiability of type four domains in C^2

N/A...

BA - Obecná matematika

  • 1999
  • D
Result

Analytic continuation of Toeplitz operators

strictly pseudoconvex domain. Still further extension to Sobolev spaces of holomorphicGeneralizing results of Rossi and Vergne for the holomorphic discrete series on symmetric domains, on the one hand, and of Chailuek and ...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
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