Serdica Mathematical Journal

Volume 43, Number 1, 2017




C O N T E N T S

El Wassouli, F. Matrix coefficients of the irreducible unitary representation of SU(n,1) (pp. 1−8)
Lukarevski, M. Center manifolds for evolution equations associated with the Stefan problem (pp. 9−20)
Cahen, B. Symplectic decomposition of the massive coadjoint orbits of a semidirect product (pp. 21−34)
Chen, B.-Y., S. W. Wei. Differential geometry of concircular submanifolds of Euclidean spaces (pp. 36−48)
Silwal, Sh. Solitary pulse solutions of a coupled nonlinear Schrödinger system arising in optics (pp. 49−64)
Argyros, I. K., S. George. Extending the convergence domain of Newton's method for generalized equations (pp. 65−78)
Lazarev, V. Homeomorphisms of function spaces and topological dimension of domains (pp. 79−92)

A B S T R A C T S


MATRIX COEFFICIENTS OF THE IRREDUCIBLE UNITARY REPRESENTATION OF SU(n,1)
Fouzia El Wassouli elwassouli@gmail.com

2010 Mathematics Subject Classification: 32M15, 32A45, 30E20, 33C60.
Key words: Hypergeometric function, matrix coefficients, weighted Bergman space.


CENTER MANIFOLDS FOR EVOLUTION EQUATIONS ASSOCIATED WITH THE STEFAN PROBLEM
Martin Lukarevski martin.lukarevski@ugd.edu.mk

2010 Mathematics Subject Classification: Primary 35R35; Secondary 35B65, 35J70.
Key words: Center manifold, Evolution equation, Stefan problem, Free boundary problem.


SYMPLECTIC DECOMPOSITION OF THE MASSIVE COADJOINT ORBITS OF A SEMIDIRECT PRODUCT
Benjamin Cahen benjamin.cahen@univ-lorraine.fr

2010 Mathematics Subject Classification: 81S10, 22E46, 22E45, 81R05.
Key words: Semidirect product, coadjoint orbit, unitary representation, symplectomorphism, Weyl quantization, Berezin quantization, Poincaré group.


DIFFERENTIAL GEOMETRY OF CONCIRCULAR SUBMANIFOLDS OF EUCLIDEAN SPACES
Bang-Yen Chen bychen@math.msu.edu,
Shihshu Walter Wei wwei@ou.edu

2010 Mathematics Subject Classification: 53A07, 53C40, 53C42.
Key words: Euclidean submanifold, position vector field, concurrent vector field, concircular vector field, rectifying submanifold.