Serdica Mathematical Journal

Volume 32, Number 4, 2006


C O N T E N T S


A B S T R A C T S


WEAKLY COMPACT GENERATING AND SHRINKING MARKUSEVIC BASES
M. Fabian fabian@math.cas.cz
P. Hájek hajek@math.cas.cz
V. Montesinos vmontesinos@mat.upv.es
V. Zizler zizler@math.cas.cz

2000 Mathematics Subject Classification: 46B30, 46B03. Key words: Weakly compactly generated spaces, shrinking Markusevic bases, Eberlein compacta.


ON CONNECTION BETWEEN CHARACTERESTIC FUNCTIONS AND THE CARATHEODORI CLASS FUNCTIONS
Vladimir A. Zolotarev Vladimir.A.Zolotarev@univer.kharkov.ua
Raéd Hatamleh raedhat@yahoo.com

2000 Mathematics Subject Classification: 47A65, 45S78. Key words: Characterestic function, Caratheodori class function, colligation, homographic transformation.


A CHARACTERIZATION THEOREM FOR THE K-FUNCTIONAL ASSOCIATED WITH THE ALGEBRAIC VERSION OF TRIGONOMETRIC JACKSON INTEGRALS
T. Zapryanova teodorazap@abv.bg

2000 Mathematics Subject Classification: 41A25, 41A36. Key words: K-Functional, Modulus of smoothness, Jackson integral.


LARGE AND MODERATE DEVIATIONS PRINCIPLES FOR RECURSIVE KERNEL ESTIMATOR OF A MULTIVARIATE DENSITY AND ITS PARTIAL DERIVATIVES
Abdelkader Mokkadem mokkadem@math.uvsq.fr
Mariane Pelletier pelletier@math.uvsq.fr
Baba Thiam thiam@math.uvsq.fr

2000 Mathematics Subject Classification: 62G07, 60F10. Key words: Multivariate recursive kernel estimation of a density and its derivatives; large and moderate deviations principles.


SUBVARIETIES OF THE HYPERELLIPTIC MODULI DETERMINED BY GROUP ACTIONS
T. Shaska shaska@oakland.edu

2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22. Key words: Hyperelliptic curves, automorphism groups.


CORRIGENDUM
for
WEIERSTRASS POINTS WITH FIRST NON-GAP FOUR ON A DOUBLE COVERING OF A HYPERELLIPTIC CURVE
Serdica Math. J. 30 (2004), 43-54
Jiryo Komeda komeda@gen.kanagawa-it.ac.jp
Akira Ohbuci ohbuchi@ias.tokushima-u.ac.jp


P. Rusev (Reviewer)
NIKOLA OBRECHKOFF, SELECTED PAPERS, VOL I, II
Prof. Marin Drinov Academic Publishing House, 2006
vol I, XII + 361 pp., EURO 20, ISBN 10 954-322-120-0(I), ISBN 13 978-954-322-120-2(I)
vol II, XIV + 474 pp., EURO 20, ISBN 10 954-322-121-9(II), ISBN 13 978-954-322-121-9(II).

2000 Mathematics Subject Classification: 00-02,00B60,01A75. Key words: Classical analysis, summation of divergent series, Diophantine approximations, probability theory.

Contact information: baspress@abv.bg


Nikolai Kutev kutev@math.bas.bg (Reviewer)
GEOMETRICAL METHODS FOR SOLVING OF FULLY NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS,
by P. Popivanov popivano@math.bas.bg,
Mathematics and its Applications Vol. 2, Union of Bulgarian Mathematicians, Sofia, 2006,
X + 158 pp., EURO 49, ISBN 10 954-8880-24-5, ISBN 13 978-954-8880-24-4

2000 Mathematics Subject Classification: 35-02, 53-02, 35B65, 35C05, 35F20, 35G25, 35L60, 57R45, 58C28, 76J05. Key words: Method of characteristics, Monge-Ampere, eikonal, Clairaut equations, propagation of singularities, anomalous and generic singularities of the integral surfaces, semilinear hyperbolic systems, Hamiltonian systems, canonical transformations.


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