Abstracts

Plenary Speakers

M. S. Agranovich Spectral boundary value problems for the Dirac equation with a singular potential
Richard Askey Determinants and orthogonal polynomials
Vladimir Georgiev Stability of solitary waves for some problems in quantum mechanics
Peter Greiner SubRiemannian Geometry and Subelliptic PDE's
Terry Lyons System control and rough paths
Luigi Rodino Microlocal analysis and partial differential equations
Bert-Wolfgang Schulze Analysis on Manifolds with Geometric Singularities
Sundaram Thangavelu Hardy's theorem: a survey
James S. Walker Wavelet-based image processing

Approximation Theory

Palle Jorgensen Use of quantum principles in signal processing and in fast wavelet algorithms
A. Kushpel Optimal approximation on the torus using sk-splines
C. Grandison and A. Kushpel Optimal sk-spline approximation of Sobolev's classes on the 2-sphere
Tsutomu Matsuura Best approximations by Sobolev Hilbert spaces
A. Kushpel and S. Tozoni Sharp orders of entropy numbers of Sobolev and Besov classes on homogeneous spaces

Banach Spaces of Analytic Functions

Swanhild Bernstein Quaternionic Q_p-spaces on the unit sphere in R³.
George Csordas Finite Fourier transforms and the zeros of the Riemann \xi- function
H. Turgay Kaptanoglu Analytic properties of diagonal Besov spaces on the unit disc
Lino F. Reséndis Ocampo Harmonic majorants and Q_p, Besov-type spaces.
Simei Tong Subspaces of L_p,   p > 2, determined by partitions and weights
Zhijian Wu Commutators on Lipschitz spaces
Hasi Wulan Some spaces between BMOA and the Bloch space
Ruhan Zhao Weighted composition operators on the Bergman space

Boundary Value Problems and Integral Equations

Alexander P. Anyutin MMDS and scattering problem by a cylindrical structure with piece-wise smooth boundary
Alexander P. Anyutin Scattering by a multilayer cylindrical structure
Martin A. DiazViera Trefftz-Herrera collocation method: applications to harmonic and biharmonic problems
Alexey L Sadovski Real-time modeling and simulation of water levels in coastal waters of South Texas
Michael Shapiro On holomorphic-like functions for the Helmholtz equation
Kenichiro Umezu On diffusive logistic equations having nonlinear boundary conditions

Complex and Functional Analytic Methods in Partial Differential Equations

A.S. Abdel-Rady On higher order Bessel potentials
Daniel Alpay Quaternionic reproducing kernel spaces and related topics
Heinrich Begehr Determination of solutions to complex pdes
Robert Carroll Remarks on q-differential operators
Massimo Lanza de Cristoforis A global Lipschitz continuity result for a domain-dependent Neumann eigenvalue problem for the Laplace operator
Valentina Golubeva The inverse monodromy problem in a class of Knizhnik-Zamolodchikov equations
M. Jahanshahi Reduction of two dimensional Neumann and mixed Boundary Value Problem to Dirichlet Boundary Value Problem
Wei Lin Wavelets and natural boundary integral equations
A. Soldatov On asymptotics of solutions of elliptic boundary value problems at corner points

Function Spaces and Applications

Bakhyt Baideldinov Weighted estimates for singular integral operators
V. Burenkov Sharp estimates for integrals over small intervals for functions possessing some smoothness
A. D. Dzhabrailov The problems of interpolations of spaces of differentable functions
A. D. Dzhabrailov Theorems on the extension of functions beyond the domain G subset E_n, preserving the class
Vagif S. Guliev Some aspects of harmonic analysis, related to the Gegenbauer differential expansions
Vagif S. Guliev Function spaces and integral operators on Chebli-Trimeche hypergroups
Huseyn V. Guliyev Necessary and sufficient conditions for boundedness of the fractional maximal operator and Riesz potential in local Morrey-type spaces
Kader Senouci On integral inequalities involving differences
Winfried Sickel Entropy numbers of embeddings of weighted Besov spaces
Gord Sinnamon Transferring monotonicity in weighted norm inequalities
T. Tararykova Equivalent norming of L_p - spaces

Harmonic Analysis and Partial Differential Equations

Christiane Carton-Lebrun Problems related to the analytic representation of tempered distributions.
Der-Chen Chang Real and complex Hamiltonian mechanics on some subRiemannian manifolds
Galia Dafni Duality theorems for fractional Carleson measures and Q_\alpha(Rⁿ)
Wayne M. Eby Pompeiu Problem with Moments on the Heisenberg Group
Sanjiv Kumar Gupta Singularity of orbits in classical Lie algebras
Ron Kerman Optimal Sobolev imbeddings
Jinman Kim The Schoenberg theorem for positive definite functions on Heisenberg groups
Joe Lakey Hardy's theorem for rotations of the plane
Song-Ying Li A sharp lower bound for the first positive eigenvalue of sub-laplacian
Duy-Minh Nhieu Notions of convexity in Carnot groups.
Tao Qian Analytic signals and generalized trigonometric systems
R. Radha Multipliers for Hermite and Laguerre-Sobolev spaces
Wolfgang Staubach Path integrals and the heat kernel of the Heisenberg Laplacian
Dimiter Vassilev Strong unique continuation for generalized Baouendi-Grushin operators

Hemivariational Inequalities and Applications

Siegfried Carl Comparison results for quasilinear elliptic inclusions of hemivariational type
Zhenhai Liu Generalizations of evolution variational inequalities
Stanislaw Migorski Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction
Boris Mordukhovich Sensitivity analysis for hemivariational inequalities
D. Motreanu A new non-smooth variational approach in studying variational-hemivariational inequalities

Hyperbolic Problems: Degeneracies, Nonlinearities and Global Existence

Ruben Airapetyan Dynamical systems approach for solving nonlinear problems
Michael Dreher An estimate of solutions to evolution equations
Tamotu Kinoshita On the wellposedness of the Cauchy problem for weakly hyperbolic systems
Mitsuhiro Nakao Energy decay for the wave equation in exterior domains with some halflinear dissipation
Michael Reissig Wave equations with monotone weak dissipation
Michael Ruzhansky Representation of solutions and regularity properties for weakly hyperbolic systems
Winfried Sickel Function Spaces with Exponential Weights and Nemytskij Operators
Mitsuru Sugimoto A smoothing property of Schrödinger equations and a global existence result to derivative nonlinear equations
Kimitoshi Tsutaya Global existence and blowup for a nonlinear wave equation with a potential
Hiroshi Uesaka Zeros of a solution for some reaction-diffusion system

Inverse Problems

Robert Carroll Integrable systems and quantum groups
Abdellatif El-Badia An inverse source heat problem and application to a pollution detection problem.
Robert P. Gilbert Clinical testing of cancellous bone using ultrasound diagnostics
Nilima Nigam Uniqueness issues for compressible, inviscid fluid-structure interaction problems
Lizabeth Rachele Inverse problems for anisotropic elastic media
Saburou Saitoh Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems
Mourad Sini Some uniqueness results of discontinuous coefficients for the one dimensional inverse spectral problem.
Yongzhi Xu Direct and indirect problems of a free boundary model of breast cancer

Nonlinear Analysis and Applications

Kumud S. Altmayer Finite volume method for unsteady flows
Q. H. Ansari Maximal elements and collective fixed points with applications
R. C. Singh Chandel Transformation of multiple hypergeometric functions of several variables.
Charles Chidume Iterative approximation of solutions of nonlinear equations of Hammerstein type
H. P. Dikshit On Wachspress quadrilateral patches
Alain Gosselin Viability theory and differential Lanchester type models for combat
George Isac On some solvability theorems for general functional equations
Qamar Jalil Ahmad Khan A delay differential equation model for the pulsatile release of hormones of the system, the hypothalamus, the pituitary and the testis
Margo Kondratieva A Hamiltonian combination of a Hamiltonian system and its system in variations
K. Q. Lan A fixed point theorem for multivalued maps and applications
Lai-Jiu Lin Abstract economies, system of generalized vector quasi-equilibrium problems and mixed variational inequalities
Debashish Mukherji Numerical simulations of absorption and emission of photons in photonic band gap materials doped with atom.
Sudarsan Nanda A variational inequality and complementarity problem in semi-inner-product space
Abul Hasan Siddiqi Parallel Algorithms for Variational Inequalities Arising from Type-II Superconductors
J. N. Singh Interior and boundary methods in linear programming
Mahi R. Singh A theory of the coherent trapping of polaritons in dispersive and photonic band gap materials.
Neeta Singh Non-realcompact products with a metric factor
S. P. Singh Ky Fan's Best Approximation Theorem and Applications

Orthogonal Polynomials and Special Functions

Victor Adamchik The multiple gamma function: theory, computation and applications
William C. Connett Structural theorems for continuous polynomial hypergroups.
Mark V. DeFazio The behaviour of the complex zeros of the Laguerre and Jacobi polynomials.
Mark V. DeFazio On the zeros of a transcendental function
Dmitrii Karp Square summability with geometric weight and new orthogonality for classical orthogonal polynomials
Lee Lorch Asymptotics of the zeros of Bessel (cylinder) functions and their derivatives: a footnote
Amram Meir A combinatorial problem with connections to Laplace transforms, probability and splines
M. A. Pathan On product of operators and certain properties of generalized functions
Roderick Wong A turning-point theory for difference equations

Pseudo-Differential Operators

Ryuichi Ashino An application of the wavelet transform to system identification
Paolo Boggiatto Localization Operators with L^r symbols on L^p spaces and modulation spaces
Ernesto Buzano Complex powers of hypoelliptic operators
Elena Cordero Composition of localization operators
Giuseppe De Donno Hypoellipticity of anisotropic semilinear PDE's
Gianluca Garello Lp-regularity of solutions to linear and semilinear multi-quasi- elliptic equations
M. A. Hajji Representation of differential operators in two-dimensional periodic wavelet bases and applications to PDEs
Jon Johnsen A parametrix construction for semi-linear elliptic boundary problems
Krzysztof Nowak Applications of oscillation spaces in time-frequency localization
R. Schilling Pseudo-differential operators and Feller processes
Mitsuru Sugimoto Global L²-boundedness theorems for a class of Fourier integral operators
Tatsuya Tate Distribution laws for integrable eigenfunctions
Joachim Toft Modulation spaces of non-standard type and pseudo-differential operators
Rémi Vaillancourt Comparing multiresolution SVD with other methods for image compression
Rémi Vaillancourt Pseudodifferential operators for microlocal analysis and image restoration
Zhaohui Zhang Trace class norm inequalities for two-wavelet multipliers

Reproducing Kernels and Related Topics

Daniel Alpay Interpolation and the Hardy space on the homogeneous dyadic tree: the stationary case
Miron B. Bekker The Helson-Szegö Theorem for Operator-Valued Weight
Dubi Chen Backward shift operator and finite dimensional de Branges-Rovnyak spaces in the ball
Keiko Fujita Bergman kernel for complex harmonic functions on some balls
A. M. Jerbashian (Djrbashian) Weighted spaces of regular functions associated with fractional integro-differentiation
Leiba Rodman Functions with indefinite Caratheodory - Pick matrices
Saburou Saitoh Applications of reproducing kernels to best approximations, Tikhonov regularizations and inverse problems
Michael Shapiro On reproducing kernel Hilbert spaces in hypercomplex analysis.
Eduard Tsekanovskii Realization theory of Herglotz-Nevanlinna matrix-valued functions and explicit system solutions

Stochastic Analysis and Applications

Krzysztof Bogdan Symmetric stable processes in cones
Serge Cohen Simulation of fractional Lévy fields
Yuriy Kazmerchuk Stochastic state-dependent delay differential equations with application in finance
Toshihiro Uemura On estimates of exit time from balls of symmetric stable-like processes
Matthias Winkel Forest composition and Williams' decomposition

Time-Frequency Analysis, Wavelets and Applications

Jeff Hogan Non-translation-invariance in PSI spaces
Joe Lakey Some comments on convergence of Walsh series
Tasuro Ogata Differential and integral calculus on fractal sets
James S. Walker Frequency spectra of music

Toeplitz-Like Structures in Analysis and Applied Sciences

Suliman Al-Homidan New formulations of the Hankel matrix approximation problem
S. Grudsky Dynamics of properties of Toeplitz operators on the weighted Bergman spaces
Oleksandr Karelin On some boundary value problems with piecewise coefficients
Maribel Loaiza Herz classes and Toeplitz operators in the disk
Nikolai Vasilevski Commutative C*-algebras of Toeplitz operators and quantization on the unit disk
Nina Zorboska Toeplitz operators on the Bloch spaces

Value Distributions of Complex Functions, Generalizations and Related Topics

Maria Teresa Alzugaray Sets of range uniqueness for entire functions
Grigor Barsegian A new program of investigations in analysis: Gamma-lines approaches
Grigor Barsegian A method for studying oscillations and Nevanlinna type regularities in real ordinary differential equations with an application to population dynamics
George Csordas Linear operators and the distribution of zeros of entire functions
Stephanie Edwards Use level curves to count non-real zeros of f''
Alain Escassut Analytic mappings in the tree Mult(K[x]).
Alain Escassut The functional equation P(f)=Q(g) in a p-adic field
Arturo Fernandez On the unintegrated fundamental inequality of Nevanlinna
Kazuko Kato Construction de la solution du second problème de Cousin dans le polydisque et généralisation du Théorème de K. Oka
Rich Stankewitz Dynamics of rational semigroups: counterexamples and conjectures
Osamu Suzuki A new invariant for domains with fractal boundaries on the Riemann sphere
C.C. Yang Some applications of value distribution theory to functional or differential equations

General Session

M. Jahanshahi Boundary value problems and initial value problems including differential equations with fractional order
Cheng Yu Continuation of solution for differential equation with fractional order