The Fourth International Conference on Complex Analysis and Dynamical
Systems (CA&DS IV), sponsored by ORT Braude College (Karmiel, Israel),
Bar-Ilan University (Ramat-Gan, Israel) and the University of Miami (Miami,
USA), took place at the Carlton Hotel in Nahariya, Israel, during May 18-22,
2009. The conference was devoted to the interaction between various branches
of Mathematical Analysis and was organized into three main parallel sessions:
Complex Analysis, Partial Diﬀerential Equations, and General Relativity.
Altogether, over 100 participants from 17 countries attended the Conference.
These proceedings, which comprise two volumes, are the tangible record of the
Conference. Most of the papers collected here have been contributed by participants
in the Conference. In some cases, they have chosen to submit manuscripts which
depart from the texts of their lectures. Several invited speakers who were unable to
attend the Conference also contributed papers to these proceedings. All submissions
have been carefully refereed. The papers in this ﬁrst volume are mainly devoted
to Function Theory and Optimization while the papers in the second volume deal
with Partial Diﬀerential Equations, Geometry, and General Relativity.
We acknowledge with thanks the support provided for the Conference by the
Galilee Research Center for Applied Mathematics of ORT Braude College, the
Gelbart Research Institute for Mathematical Sciences of Bar-Ilan University, the
ESF Networking Programme “Harmonic and Complex Analysis and Applications,"
the Edmund Landau Minerva Center for Research in Mathematical Analysis and
Related Areas of the Hebrew University, the U.S. National Science Foundation
(Grant No. 0911292), and the University of Miami. Finally, we thank Miriam
Beller, who (as in previous volumes) served as technical editor.