DSpace Collection: Volume 32, Number 4
http://hdl.handle.net/10525/2535
Serdica Mathematical Journal Volume 32, Number 4, 2006The Collection's search engineSearch the Channelsearch
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Geometrical Methods for Solving of Fully Nonlinear Partial Differential Equations, by P. Popivanov
http://hdl.handle.net/10525/3491
Title: Geometrical Methods for Solving of Fully Nonlinear Partial Differential Equations, by P. Popivanov<br/><br/>Authors: Kutev, Nikolai<br/><br/>Abstract: 2000 Mathematics Subject Classification: 35-02, 53-02, 35B65, 35C05, 35F20, 35G25, 35L60,57R45, 58C28, 76J05.<br/><br/>Description: [Kutev Nikolai; Кутев Николай]Selected Papers, I, II by Nikola Obrechkoff
http://hdl.handle.net/10525/3490
Title: Selected Papers, I, II by Nikola Obrechkoff<br/><br/>Authors: Rusev, P.<br/><br/>Abstract: 2000 Mathematics Subject Classification: 00-02,00B60,01A75.<br/><br/>Description: [Rusev P.; Rusev Petăr; Rusev Peter; Russev P.; Russev Peter; Русев Петр; Русев Петър]Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"
http://hdl.handle.net/10525/2547
Title: Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"<br/><br/>Authors: Komeda, Jiryo; Ohbuci, Akira<br/><br/>Abstract: In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such thatp+q+(b-2)g21(C′)∼2(q1+… +qb-1)where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof.Subvarieties of the Hyperelliptic Moduli Determined by Group Actions
http://hdl.handle.net/10525/2540
Title: Subvarieties of the Hyperelliptic Moduli Determined by Group Actions<br/><br/>Authors: Shaska, T.<br/><br/>Abstract: Let Hg be the moduli space of genus g hyperelliptic curves. In this note, we study the locus Hg (G,σ) in Hg of curves admitting a G-action of given ramification type σ and inclusions between such loci. For each genus we determine the list of all possible groups, the inclusions among the loci, and the corresponding equations of the generic curve in Hg (G, σ). The proof of the results is based solely on representations of finite subgroups of PGL2 (C) and the Riemann-Hurwitz formula.<br/><br/>Description: 2000 Mathematics Subject Classification: 14Q05, 14Q15, 14R20, 14D22.Large and Moderate Deviations Principles for Recursive Kernel Estimator of a Multivariate Density and its Partial Derivatives
http://hdl.handle.net/10525/2539
Title: Large and Moderate Deviations Principles for Recursive Kernel Estimator of a Multivariate Density and its Partial Derivatives<br/><br/>Authors: Mokkadem, Abdelkader; Mariane, Pelletier; Baba, Thiam<br/><br/>Abstract: In this paper we prove large and moderate deviations principles for the recursive kernel estimator of a probability density function and its partial derivatives. Unlike the density estimator, the derivatives estimators exhibit a quadratic behaviour not only for the moderate deviations scale but also for the large deviations one. We provide results both for the pointwise and the uniform deviations.<br/><br/>Description: 2000 Mathematics Subject Classification: 62G07, 60F10.A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
http://hdl.handle.net/10525/2538
Title: A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals<br/><br/>Authors: Zapryanova, T.<br/><br/>Abstract: The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness. This modulus is based on the classical one taken on a certain linear transform of the function.<br/><br/>Description: 2000 Mathematics Subject Classification: 41A25, 41A36.On Connection between Characterestic Functions and the Caratheodori Class Functions
http://hdl.handle.net/10525/2537
Title: On Connection between Characterestic Functions and the Caratheodori Class Functions<br/><br/>Authors: Zolotarev, Vladimir A.; Hatamleh, Raéd<br/><br/>Abstract: Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces.<br/><br/>Description: 2000 Mathematics Subject Classification: 47A65, 45S78.Weakly Compact Generating and Shrinking Markusevic Bases
http://hdl.handle.net/10525/2536
Title: Weakly Compact Generating and Shrinking Markusevic Bases<br/><br/>Authors: Fabian, M.; Hájek, P.; Montesinos, V.; Zizler, V.<br/><br/>Abstract: It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markusevic bases for such spaces. In some cases, such property is then shared by all Markusevic bases in the space.<br/><br/>Description: 2000 Mathematics Subject Classification: 46B30, 46B03.