Complex Variables

Authors and titles for math.CV in May 2008

[1]  arXiv:0805.0141 [pdf, ps, other]

Title: Cullen-regular quaternionic functions in a Fueter operator framework

Authors: Daniel Alayon-Solarz

Subjects: Complex Variables (math.CV); Functional Analysis (math.FA)

[2]  arXiv:0805.0357 [pdf, ps, other]

Title: Möbius transformations and the Poincaré distance in the quaternionic setting

Authors: Cinzia Bisi, Graziano Gentili

Comments: Details added in proof of Theorem 6.4. Exposition improved in some ambiguous points. References added. 28 pages

Subjects: Complex Variables (math.CV)

[3]  arXiv:0805.0825 [pdf, ps, other]

Title: Some Remarks on the Algebra of Bounded Dirichlet Series

Authors: Brian Maurizi, Herve Queffelec

Comments: 19 pages

Subjects: Complex Variables (math.CV)

[4]  arXiv:0805.1032 [pdf, ps, other]

Title: Asymptotically Affine and Asymptotically Conformal Circle Endomorphisms

Authors: Frederick P. Gardiner, Yunping Jiang

Journal-ref: RIMS Kokyuroku Bessatsu B17, Infinite Dimensional Teichmueller Spaces and Moduli Spaces, Ed. Ege Fujikawa, June, 2010, 37-53

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[5]  arXiv:0805.1269 [pdf, ps, other]

Title: Some Topics Related to Bergman Kernel

Authors: Weiping Yin

Subjects: Complex Variables (math.CV)

[6]  arXiv:0805.1501 [pdf, other]

Title: Hypergeometric functions and hyperbolic metric

Authors: G. D. Anderson, T. Sugawa, M. K. Vamanamurthy, M. Vuorinen

Comments: 13 pages, 1 figure

Subjects: Complex Variables (math.CV)

[7]  arXiv:0805.1621 [pdf, ps, other]

Title: Monge-Ampere boundary measures

Authors: Urban Cegrell, Berit Kemppe

Subjects: Complex Variables (math.CV)

[8]  arXiv:0805.1699 [pdf, ps, other]

Title: An Asymptotic Formula for the Sequence ||exp(i n h(t))||_A

Authors: Bogdan M. Baishanski, Jan Hlavacek

Subjects: Complex Variables (math.CV)

[9]  arXiv:0805.1763 [pdf, ps, other]

Title: Algebraic Levi-flat hypervarieties in complex projective space

Authors: Jiri Lebl

Comments: 21 pages, latex amsart, amsrefs; A couple of very minor typos fixed, added journal reference

Journal-ref: J. Geom. Anal., 22 (2012), no. 2, 410-432

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)

[10]  arXiv:0805.1842 [pdf, ps, other]

Title: A finiteness theorem for dual graphs of surface singularities

Authors: Patrick Popescu-Pampu, Jose Seade

Comments: 10 pages

Journal-ref: International Journal of Mathematics 20, no. 8 (2009), 1057-1068

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)

[11]  arXiv:0805.1953 [pdf, ps, other]

Title: A splitting theorem for holomorphic Banach bundles

Authors: Jaehong Kim

Subjects: Complex Variables (math.CV)

[12]  arXiv:0805.2235 [pdf, other]

Title: Conformal Metrics

Authors: Daniela Kraus, Oliver Roth

Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP)

[13]  arXiv:0805.2295 [pdf, ps, other]

Title: On the length of lemniscates

Authors: Alexandre Eremenko, Walter Hayman

Journal-ref: Michigan Math. J., 46 (1999), 409-415

Subjects: Complex Variables (math.CV)

[14]  arXiv:0805.2598 [pdf, ps, other]

Title: Overcrowding and hole probabilities for random zeros on complex manifolds

Authors: Bernard Shiffman, Steve Zelditch, Scott Zrebiec

Comments: 16 pages; stylistic changes, added corollary

Journal-ref: Indiana Univ. Math. J. 57 (2008), 1977-1997

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Probability (math.PR)

[15]  arXiv:0805.2846 [pdf, ps, other]

Title: Convergence of Bergman measures for high powers of a line bundle

Authors: Robert Berman, David Witt Nystrom

Comments: 8 pages

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)

[16]  arXiv:0805.3246 [pdf, ps, other]

Title: On a Monge-Ampère type equation in the Cegrell class $\mathcal{E}_χ$

Authors: Rafał Czyż

Comments: 6 pages

Subjects: Complex Variables (math.CV)

[17]  arXiv:0805.3372 [pdf, ps, other]

Title: Proper holomorphic mapppings between Reinhardt domains in $\mathbb C^2$

Authors: L. Kosinski

Comments: 13 pages

Journal-ref: Michigan Math. J. 58 (2009), 711-721

Subjects: Complex Variables (math.CV)

[18]  arXiv:0805.3788 [pdf, ps, other]

Title: Semigroups of valuations on local rings, II

Authors: Steven Dale Cutkosky, Bernard Teissier (IMJ)

Subjects: Complex Variables (math.CV); Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[19]  arXiv:0805.4711 [pdf, ps, other]

Title: Astala's Conjecture on Distortion of Hausdorff Measures under Quasiconformal Maps in the Plane

Authors: Michael T. Lacey, Eric T. Sawyer, Ignacio Uriarte-Tuero

Comments: Revised version; typos corrected

Journal-ref: Acta Math. 204 (2010), no. 2, 273-292

Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP)

[20]  arXiv:0805.4732 [pdf, ps, other]

Title: The Schur Algorithm in Terms of System Realization

Authors: Bernd Fritzsche, Victor Katsnelson, Bernd Kirstein

Comments: 71 pages, 4 figures

Subjects: Complex Variables (math.CV); Spectral Theory (math.SP)

[21]  arXiv:0805.0020 (cross-list from math-ph) [pdf, ps, other]

Title: On the breakup of air bubbles in Hele-Shaw cell

Authors: Vladimir Entov, Pavel Etingof

Comments: 20 pages, 11 figures

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV)

[22]  arXiv:0805.0756 (cross-list from math.AG) [pdf, ps, other]

Title: Which powers of holomorphic functions are integrable?

Authors: János Kollár (Princeton Univ)

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[23]  arXiv:0805.0959 (cross-list from math.CA) [pdf, ps, other]

Title: A uniformly spread measure criterion

Authors: A. Dudko, S. Favorov

Comments: 5 pages, bibliography 4 items

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[24]  arXiv:0805.1307 (cross-list from math.DG) [pdf, ps, other]

Title: Canonical metrics on Hartogs domains

Authors: Andrea Loi, Fabio Zuddas

Comments: This paper contains the results about extremal metrics described in arXiv:0705.2124v1

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[25]  arXiv:0805.1658 (cross-list from math.DS) [pdf, ps, other]

Title: Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity

Authors: Lasse Rempe, Dierk Schleicher

Comments: 20 pages, 6 figures

Journal-ref: in: Fields Institute Communications Volume 53: Holomorphic dynamics and renormalization. A volume in honour of John Milnor's 75th birthday (Lyubich et al, eds), 177-196 (2008).

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)