Proceedings of the "Analysis, Operator Theory, and Mathematical Physics" Workshop held in Ixtapa, Guerrero, México, February 24-28, 2014
VOL. 17 · NO. 2 | 2014
Front Matter
G. Burlak, Y. Karlovich, V. Rabinovich
Commun. Math. Anal. 17 (2), (2014)
N. V. Aseeva, E. M. Gromov, B. A. Malomed, V. V. Tyutin
Commun. Math. Anal. 17 (2), 1-13, (2014)
KEYWORDS: Extended Nonlinear Schrodinger Equation, Soliton Solutions, Stimulated Scattering, Damped Low-Frequency Waves, inhomogeneity, Second-Order Dispersion, Self- Phase Modulation, Analytical Solutions, 35Q51
N. M. Atakishiyev, A. M. Jafarova, E. I. Jafarov
Commun. Math. Anal. 17 (2), 14-23, (2014)
KEYWORDS: Meixner polynomials, irreducible unitary representations, Lorentz group, harmonic oscillator, ‎33D45, 39A70, 47B39
G. Burlak, V. Imaykin, A. Merzon
Commun. Math. Anal. 17 (2), 24-33, (2014)
KEYWORDS: Maxwell-Lorentz equations, Hamilton least action principle, Poincaré equations on the Lie group SO(3), Euler angles, Abraham’s rotating extended electron, Euler- Lagrange equations, Hamiltonian equations, 35Q61, 35Q70
Y. Calderon-Segura, G. Burlak
Commun. Math. Anal. 17 (2), 34-44, (2014)
KEYWORDS: percolation, optimization, nanoemitters, numerical calculations, 65N25, 74J05, 78A25, 78A40
L. P. Castro, D. Kapanadze
Commun. Math. Anal. 17 (2), 45-65, (2014)
KEYWORDS: Helmholtz equation, wave diffraction, impedance boundary value problems, potential method, oscillating symbols, Wiener-Hopf operator, Hankel operator, 35J05, 35B30, 35C15, 35J25, 35P25, 47A20, 47A53, 47A68, 47B35, 47G30, 78A45
Abdon E. Choque Rivero
Commun. Math. Anal. 17 (2), 66-81, (2014)
KEYWORDS: Blaschke-Potapov factors, Hausdorff matrix moment problem, Stieltjes parameters, 42C05, 44A60, 30E05
Abdon E. Choque Rivero
Commun. Math. Anal. 17 (2), 82-97, (2014)
KEYWORDS: Blaschke-Potapov factors, Hausdorff matrix moment problem, Stieltjes parameters, 42C05, 44A60, 30E05
A. Choque Rivero, Yu. I. Karlovich, V. A Yurko
Commun. Math. Anal. 17 (2), 98-107, (2014)
KEYWORDS: hedgehog-type graphs, Sturm-Liouville operators, inverse spectral problems, 34A55, 34B07, 34B45, 47E05
Abdon E. Choque Rivero, Sergey M. Zagorodnyuk
Commun. Math. Anal. 17 (2), 108-130, (2014)
KEYWORDS: Hausdorff matrix moment problem, self-adjoint contractive extensions, 42C05, 44A60, 47B25
I. De la Cruz-Rodriguez, Yu. I. Karlovich, I. Loreto-Hernandez
Commun. Math. Anal. 17 (2), 131-150, (2014)
KEYWORDS: Convolution type operator, piecewise quasicontinuous function, slowly oscillating function, BMO and VMO functions, commutator, maximal ideal space, Gelfand transform, Fredholmness, 47B47
K. Esmeral, E. Maximenko
Commun. Math. Anal. 17 (2), 151-162, (2014)
KEYWORDS: Toeplitz operator, Bergman space, invariant under dilation, slowly oscillating function, 30H20, 46L05, 47B35, 47L80
S. Garcia-Paredes, G. Burlak
Commun. Math. Anal. 17 (2), 163-177, (2014)
KEYWORDS: Bose-Einstein condensate, fundamental solitons, quasiperiodic optical lattice, numerical simulations, 35C08, 37K40, 35J10, 35J66
A. Garcia, N. Vasilevski
Commun. Math. Anal. 17 (2), 178-188, (2014)
KEYWORDS: Banach Algebra, ‎Berezin transform, Toeplitz operator, quasi-radial operator, quasi-radialization, 47B35
A. Karlovich, Yu. Karlovich, A. Lebre
Commun. Math. Anal. 17 (2), 189-208, (2014)
KEYWORDS: Fredholmness, Mellin pseudodifferential operator, slowly oscillating symbol, maximal ideal space., regularizer, 47G30
E. Kopylova
Commun. Math. Anal. 17 (2), 209-216, (2014)
KEYWORDS: Discrete wave equation, Cauchy problem, dispersive decay, limiting absorption principle, 35Q41, 81Q15, 39A12, 39A70
V. I. Korobov, T. V. Revina
Commun. Math. Anal. 17 (2), 217-230, (2014)
KEYWORDS: Controllability function method, robust feedback synthesis problem, finite-time stabilization, unknown bounded perturbation, 93B50, 93C73
E. Lee, M. Loaiza, N. Vasilevski
Commun. Math. Anal. 17 (2), 231-238, (2014)
KEYWORDS: Toeplitz operator, piecewise continuous symbol, slowly oscillating symbol, Calkin algebra, 47B35
M. Loaiza, C. Lozano
Commun. Math. Anal. 17 (2), 239-252, (2014)
KEYWORDS: pluriharmonic function, Harmonic function, Toeplitz operator, Bergman spaces, Banach Algebra, 31C10, 31B05, 47B35, ‎32A36‎, 47L80
E. Martinez-Sanchez, G. Burlak, V. Rabinovich
Commun. Math. Anal. 17 (2), 253-262, (2014)
KEYWORDS: Cherenkov radiation, dispersive metamaterial, stationary phase method, 65N25, 74J05, 78A25, 78A40
B. Ocampo
Commun. Math. Anal. 17 (2), 263-278, (2014)
KEYWORDS: Bergman spaces, C*-algebras, Toeplitz operator, quasicontinuous symbols, piecewise continuous symbols, ‎32A36‎, 32A40, 32C15, 47B38, 47L80
R. Rabah, G. M. Sklyar, P. Yu. Barkhayev
Commun. Math. Anal. 17 (2), 279-294, (2014)
KEYWORDS: Exact controllability, Moment problem, exact observability, neutral type systems, Riesz basis, 93B05, 93B23
V. Rabinovich, F. Urbano Altamirano
Commun. Math. Anal. 17 (2), 295-310, (2014)
KEYWORDS: potential barrier, scattering, Schrödinger equation, Spectral Parameter Power Series (SPPS), 81U05, 34L16
J. Rivera-Noriega
Commun. Math. Anal. 17 (2), 311-337, (2014)
KEYWORDS: Parabolic uniform rectifiability, parabolic singular integrals, big pieces of parabolic Lipschitz graphs, parabolic Corona type decompositions, compact parabolic singular integrals, 28A75, 42B20, 42B25, 35K08
M. I. Romero Rodriguez, P. Zhevandrov
Commun. Math. Anal. 17 (2), 338-343, (2014)
KEYWORDS: embedded eigenvalues, two-layer fluid, 76B70, 34L40
Yuri N. Skiba
Commun. Math. Anal. 17 (2), 344-358, (2014)
KEYWORDS: Incompressible viscous fluid on a sphere, kinetic energy of perturbations, normal mode stability, 76D17, 76B47, 76E09
K. V. Sklyar, S. Yu. Ignatovich, V. O. Skoryk
Commun. Math. Anal. 17 (2), 359-365, (2014)
KEYWORDS: Systems with multi-dimensional control, Linearizability problem, $C^1$-smooth nonlinear control systems, Lie brackets technique, 93B18
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