The May 2015 conference focused on the interaction between various branches of mathematical analysis in three parallel sessions on complex analysis, geometry and harmonic analysis, and partial differential equations. Some substantially revised from the presentations, 22 papers discuss such topics as exact solutions to a Muskat problem with line distributions of sinks and sources, some inequalities for holomorphic self-maps of the unit disc with two fixed points, elliptic perturbations of dynamical systems with a proper node, a porosity theorem for a class of non-expansive set-valued mappings, and a shadow problem for the tangent bundle of straight lines on a sphere. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
A. Akinshin, G. Goldman, V. Golubyatnikov, and Y. Yomdin, Accuracy of
reconstruction of spike-trains with two near-colliding nodes
L. Akinyemi, T. V. Savina, and A. A. Nepomnyashchy, Exact solutions to a
Muskat problem with line distributions of sinks and sources
N. Albin, F. D. Sahneh, M. Goering, and P. Poggi-Corradini, Modulus of
families of walks on graphs
A. Banyaga and P. Spaeth, Uniqueness of contact Hamiltonians of topological
strictly contact isotopies
G. Barsegian, A triple principle (for curves, surfaces and complex functions)
and the universal version of value distribution theory
R. Diaz Millan and A. Gibali, Characterization of orthogonal polynomials--A
new proof of Bochner's theorem
V. Gichev, Decomposition of the Kostlan-Shub-Smale model for random
polynomials
A. Golberg and R. Salimov, Differentiability of ring homeomorphisms with
controlled $p$-module
V. V. Goryainov, Some inequalities for holomorphic self-maps of the unit disc
with two fixed points
L. A. Harris, Interpolation and cubature at Geronimus nodes generated by
different Geronimus polynomials
R. Hurri-Syrjanen and A. V. Vahakangas, Characterizations to the fractional
Sobolev inequality
L. A. Kalyakin, O. A. Sultanov, and N. Tarkhanov, Elliptic perturbations of
dynamical systems with a proper node
M. Kapovich, Krull dimensions of rings of holomorphic functions
S. L. Krushkal, Complex geodesics and variational calculus for univalent
functions
R. Kuhnau, Analytic reflection across analytic Jordan curves
G. Liu and S. Ponnusamy, Compositions of polyharmonic mappings
D. S. Lubinsky, On Marcinkiewicz-Zygmund inequalities at Jacobi zeros and
their Bessel function cousins
V. Matache, Nonminimal cyclic invariant subspaces of hyperbolic composition
operators
C. Mills and M. Ru, An improved defect relation for holomorphic curves in
projective varieties
S. Reich and A. J. Zaslavski, A porosity theorem for a class of nonexpansive
set-valued mappings
H. Render, The Khavinson-Shapiro conjecture for domains with a boundary
consisting of algebraic hypersurfaces
Y. B. Zelinskii, Shadow problem for the tangent bundle of straight lines on a
sphere.
Mark L. Agranovsky, Bar-Ilan University, Ramat-Gan, Israel.
Matania Ben-Artzi, Hebrew University, Jerusalem, Israel.
Catherine Beneteau, University of South Florida, Tampa, FL.
Lavi Karp, ORT Braude College, Karmiel, Israel.
Dmitry Khavinson, University of South Florida, Tampa, FL.
Simeon Reich, Technion, Haifa, Israel.
David Shoikhet, Holon Institute of Technology, Israel.
Gilbert Weinstein, Ariel University, Israel.
Lawrence Zalcman, Bar-Ilan University, Ramat-Gan, Israel.
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