## Conference 3

Proceedings of the Conference "Analysis, Mathematical Physics and Applications" held in Ixtapa, Mexico, March 1-5, 2010

The following papers were presented at conference, then refereed and accepted for publication in a special issue of Communications in Mathematical Analysis. For additional details on the conference, please contact either Prof. Vladimir Rabinovich (National Polytechnic Institute of Mexico) - e-mail:vladimir.rabinovich@gmail.com or Prof. Yuri Karlovich (Autonomous University of the State Morelos, Mexico) - e-mail: karlovich@uaem.mx.

**PREFACE**

In March of 2010, the International Workshop "Analysis, Mathematical Physics and Applications" was held in Ixtapa, México. The main aim of the workshop was to bring together the top researchers in Analysis, Mathematical Physics and Applications, to present main recent developments of these important and interacting fields of mathematics and to outline principal directions of their future investigations. Well-known mathematicians from Germany, Italy, México, Poland, Russia, Ukraine and USA participated with lectures and talks in this workshop. Three minicourses consisting of 3 one-hour lectures, 15 plenary one-hour and 40-min. lectures, and several contributed 25-min. talks were delivered. The full Workshop schedule was posted at http://www.fc.uaem.mx/~ampa-2010/.

This workshop was organized by the Universidad Autónoma del Estado de Morelos (México), Universidad Michoacana de San Nicolás de Hidalgo (México) and Instituto Politécnico Nacional (México D.F.) with assistance of three other scientific groups of the so-called ''Red" from México (CINVESTAV, México, D.F.), Poland (Szczecin) and Russia (Moscow) that are joined by a framework of the scientific project ''Red de Cuerpos Académicos", México.

**ORGANIZING COMMITTEE**

- Prof. Gennadiy Burlak (UAEM, Cuernavaca, México )
- Prof. Yuri Karlovich (UAEM, Cuernavaca, México)
- Prof. Vladimir Rabinovich (IPN, México, D.F.)

**ACKNOWLEDGMENT**

The organizers gratefully acknowledge the support of the SEP-PROMEP (México) via "Proyecto de Redes".

**CONTENTS**

- On lifting q-difference operators for a chain of basic hypergeometric polynomials . Commun. Math. Anal. Conf. 3 (2011). pp. 1 - 22 ,
- Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities . Commun. Math. Anal. Conf. 3 (2011). pp. 23 - 41 ,
- Critical behavior of Ising spins in a three-dimensional percolating nanosystem with noninteger fractal dimension . Commun. Math. Anal. Conf. 3 (2011). pp. 42 - 49 ,
- Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols . Commun. Math. Anal. Conf. 3 (2011). pp. 50 - 65 ,
- The time optimal control as an Interpolation Problem . Commun. Math. Anal. Conf. 3 (2011). pp. 66 - 76 ,
- On the role of the comparison function in the spectral theory of selfadjoint operators . Commun. Math. Anal. Conf. 3 (2011). pp. 77 - 87 ,
- Optical fields in a multilayered microsphere with a quasiperiodic spherical left-handed stack . Commun. Math. Anal. Conf. 3 (2011). pp. 88 - 98 ,
- Method of rotations for bilinear singular integrals . Commun. Math. Anal. Conf. 3 (2011). pp. 99 - 107 ,
- Algebras of Pseudodifferential Operators with Discontinuous Oscillating Symbols . Commun. Math. Anal. Conf. 3 (2011). pp. 108 - 130 ,
- On global attraction to quantum stationary states. Dirac equation with mean field interaction . Commun. Math. Anal. Conf. 3 (2011). pp. 131 - 136 ,
- On long-time decay for modified Klein-Gordon equation . Commun. Math. Anal. Conf. 3 (2011). pp. 137 - 152 ,
- Solving of the polynomial systems arising in the linear time-optimal control problem . Commun. Math. Anal. Conf. 3 (2011). pp. 153 - 171 ,
- On the completeness of systems of recursive integrals . Commun. Math. Anal. Conf. 3 (2011). pp. 172 - 176 ,
- Asymptotics for the systems of ordinary equations with a small parameter near the derivative in the case of at least three coinciding characteristics . Commun. Math. Anal. Conf. 3 (2011). pp. 177 - 203 ,
- L²-estimates for the Laplace transform along a family of hyperbolas in the right half-plane . Commun. Math. Anal. Conf. 3 (2011). pp. 204 - 208 ,
- Unique solvability of vorticity equation of incompressible viscous fluid on a rotating sphere . Commun. Math. Anal. Conf. 3 (2011). pp. 209 - 224 ,
- On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space . Commun. Math. Anal. Conf. 3 (2011). pp. 225 - 234 ,