Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Kraków 2013

Front Matter....Pages I-XVI
Front Matter....Pages 1-1
A Tribute to the 70th Birthday of Prof Saburou Saitoh....Pages 3-4
Sergei Rogosin: Achievements so Far and Further Plans....Pages 5-7
Front Matter....Pages 9-9
The Degenerate Second-Order Elliptic Oblique Derivative Problem in a Domain with a Conical Boundary Point....Pages 11-18
On Locally Differentiable Solutions of the Stationary Schrödinger Equation with Discontinuous Coefficients....Pages 19-22
Riemann Problems for Single-Periodic Polyanalytic Functions II....Pages 23-32
Riemann–Hilbert Problem for Multiply Connected Domains....Pages 33-40
The Schottky–Klein Prime Function....Pages 41-47
Green Function of the Dirichlet Problem for the Laplacian and Inhomogeneous Boundary Value Problems for the Poisson Equation in a Punctured Domain....Pages 49-57
Boundary Value Problems and Method of Reflection for Quarter Ring and Half Hexagon....Pages 59-66
Harmonic Dirichlet Problem in a Ring Sector....Pages 67-75
The Parqueting-Reflection Principle....Pages 77-84
On Existence of the Resolvent and Discreteness of the Spectrum of a Class of Differential Operators of Hyperbolic Type....Pages 85-91
On the Singularities of the Emden–Fowler Type Equations....Pages 93-99
Differential Equations with Degenerated Variable Operator at the Derivative....Pages 101-108
Cauchy Problem for a First Order Ordinary Differential System with Variable Coefficients....Pages 109-115
General Solution of an n -th Order Linear Ordinary Differential Equation with Variable Coefficients....Pages 117-122
About a Class of Two Dimensional Volterra Type Integral Equations with Singular Boundary Lines....Pages 123-131
Optimal Control Problem on Optimization of Resources Productivity....Pages 133-142
Front Matter....Pages 143-143
The Amalgam Spaces $W( L^{p( x) },\\ell^{\\{ p_{n}\\} })$ and Boundedness of Hardy–Littlewood Maximal Operators....Pages 145-161
Spaces of Generalised Smoothness in Summability Problems for Φ -Means of Spectral Decomposition....Pages 163-169
Front Matter....Pages 143-143
Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues....Pages 171-178
Generalized Fractional Integrals on Central Morrey Spaces and Generalized σ -Lipschitz Spaces....Pages 179-189
Front Matter....Pages 191-191
Well-Posedness for a Generalized Boussinesq Equation....Pages 193-202
Energy Solutions for Nonlinear Klein–Gordon Equations in de Sitter Spacetime....Pages 203-208
A Benefit from the L ∞ Smallness of Initial Data for the Semilinear Wave Equation with Structural Damping....Pages 209-216
A Regularity Criterion for the Schrödinger Map....Pages 217-223
Microlocal Analysis for Hyperbolic Equations in Einstein-de Sitter Spacetime....Pages 225-232
Nonlinear Evolution Equations with Strong Dissipation and Proliferation....Pages 233-241
A Note on Real Powers of Time Differentiation....Pages 243-251
A Stationary Approach to the Scattering on Noncompact Star Graphs Containing Finite Rays....Pages 253-262
Integral Transform Approach to the Cauchy Problem for the Evolution Equations....Pages 263-269
Front Matter....Pages 271-271
On Some Solutions of Certain Versions of “Sigma” Model and Some Skyrme-Like Models....Pages 273-280
Sharp Sobolev–Strichartz Estimates for the Free Schrödinger Propagator....Pages 281-288
Nonlinear PDE as Immersions....Pages 289-297
Blow-Up for Nonlinear Inequalities with Singularities on Unbounded Sets....Pages 299-305
Well-Posedness and Stability of a Mindlin–Timoshenko Plate Model with Damping and Sources....Pages 307-314
On Deterministic and Stochastic Linear Quadratic Control Problems....Pages 315-322
Front Matter....Pages 323-323
Ergodic Theory, Boole Type Transformations, Dynamical Systems Theory....Pages 325-333
Fixed Points Theorems for Multivalued Mappings....Pages 335-339
Parametric Continuity of Choquet and Sugeno Integrals....Pages 341-346
Front Matter....Pages 323-323
Nonlinear Operators, Fixed-Point Theorems, Nonlinear Equations....Pages 347-360
Some Remarks About Chow, Hilbert and K-stability of Ruled Threefolds....Pages 361-374
Atiyah Classes of Lie Algebroids....Pages 375-393
Kähler Metrics with Cone Singularities and Uniqueness Problem....Pages 395-408
Front Matter....Pages 409-409
Teaching of Mathematics in Vocational Schools Upon 1951 Reorganisation....Pages 411-415
Arithmetic in Polish Parish Schools in the Period of the Commission of National Education....Pages 417-424
Life as an Example. S.M. Nikolskij....Pages 425-432
The Area Method and Proving Plane Geometry Theorems....Pages 433-439
Front Matter....Pages 441-441
Redundant Multiscale Haar Wavelet Transforms....Pages 443-449
Gabor Transform of Analytic Functional on the Sphere....Pages 451-458
On the Interpolation of Orthonormal Wavelets with Compact Support....Pages 459-465
An Estimation Method of Shift Parameters in Image Separation Problem....Pages 467-473
Slice Functional Calculus in Quaternionic Hilbert Spaces....Pages 475-484
Recent Progress on Spheroidal Monogenic Functions....Pages 485-497
Clifford Algebras with Induced (Semi)-Riemannian Structures and Their Compactifications....Pages 499-504
Front Matter....Pages 505-505
Generalized Shift Operators Generated by Convolutions of Integral Transforms....Pages 507-514
An Approach for Developing Fourier Convolutions and Applications....Pages 515-521
Whittaker Differential Equation Associated to the Initial Heat Problem....Pages 523-530
Recovery of Holomorphic Functions and Taylor Coefficients by Sampling....Pages 531-543
On Approximation of Lebedev Type Transforms....Pages 545-552
Front Matter....Pages 505-505
Reproducing Kernels and Discretization....Pages 553-559
Dirichlet’s Problem by Using Computers with the Theory of Reproducing Kernels....Pages 561-568
Front Matter....Pages 569-569
 C ∗ -Algebras of Two-Dimensional Singular Integral Operators with Shifts....Pages 571-581
Uncertainty and Analyticity....Pages 583-590
Toeplitz Operators on the Harmonic Bergman Space with Pseudodifferential Defining Symbols....Pages 591-603
Theorems of Paley–Wiener Type for Spaces of Polyanalytic Functions....Pages 605-613
Fredholm Theory of Pseudodifferential Operators Acting in Variable Exponent Spaces of Bessel Potentials on Smooth Manifolds....Pages 615-621
Front Matter....Pages 623-623
Boundary Value Problems for the Radiative Transfer Equation with Reflection and Refraction Conditions....Pages 625-635
Asymptotic Approximations of a Thin Elastic Beam with Auxiliary Coupled 1D System due to Robin Boundary Condition....Pages 637-648
Smooth Solution of an Initial Value Problem for a Mixed-Type Differential Difference Equation....Pages 649-653
On the Classical Lorenz System....Pages 655-661
Discrete Singular Integrals in a Half-Space....Pages 663-670
Geometrical Features of the Soliton Solution....Pages 671-677
Front Matter....Pages 679-679
Approximate Dual M-Frames Constructions: The Gabor Case....Pages 681-687
Matrices of Operators on Some Function Spaces....Pages 689-693
Rank-M Frame Multipliers and Optimality Criterions for Density Operators of Rank M....Pages 695-704
Audio Inpainting Using M-Frames....Pages 705-713
Wavelet Frames to Optimally Learn Functions on Diffusion Measure Spaces....Pages 715-720
Front Matter....Pages 721-721
A Study on Ateb Transform as a Generalization of Fourier Transform....Pages 723-731
Queue-Size Distribution in Energy-Saving Model Based on Multiple Vacation Policy....Pages 733-740
Front Matter....Pages 721-721
Automobile System Safety Based on the Model for Stochastic Networks with Dependent Service Times....Pages 741-750
Front Matter....Pages 751-751
Damage Prediction of the Femur with Postresection Defect....Pages 753-759
Representative Elements for Polydispersed Composites....Pages 761-767
Random Non-overlapping Walks of Disks on the Plane....Pages 769-775
Symbolic Computation of Conformal Mappings onto Slit Domains....Pages 777-783
On One Approach to the Simulation of the Periodontal Ligament Takes into Account Its Viscoelastic Properties....Pages 785-791
Biomechanical Effects of Maxillary Expansion in Cross-Bite Patients During Orthodontic Treatment with Hyrax Screw....Pages 793-799
Front Matter....Pages 801-801
On the Solvability of a Nonlinear Optimal Control Problem for the Thermal Processes Described by Fredholm Integro-Differential Equations....Pages 803-821
Exact Null-Controllability of Evolution Equations by Smooth Controls and Applications to Controllability of Interconnected Systems....Pages 823-829
On the Sum of Contractive Type of Mappings I: Maps on the Same Class....Pages 831-842
On ( α , ψ ) Contractions of Integral Type on Generalized Metric Spaces....Pages 843-854
Infinite Dimensional Stochastic Cauchy Problems in Ito and Differential Forms: Comparison of Solutions....Pages 855-863
Biomechanical Model of the Human Eye on the Base of Nonlinear Shell Theory....Pages 865-871
Back Matter....Pages 873-892