DSpace Collection: Volume 25 Number 3
http://hdl.handle.net/10525/429
Serdica Mathematical Journal Volume 25, Number 3, 1999The Collection's search engineSearch the Channelsearch
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A Remark On S.M. Bates' Theorem
http://hdl.handle.net/10525/449
Title: A Remark On S.M. Bates' Theorem<br/><br/>Authors: Hájek, Petr<br/><br/>Abstract: In his paper [1], Bates investigates the existence of nonlinear, but highlysmooth, surjective operators between various classes of Banach spaces. Modifyinghis basic method, he obtains the following striking results.Fri, 01 Jan 1999 00:00:00 GMTGeometric Stable Laws Through Series Representations
http://hdl.handle.net/10525/448
Title: Geometric Stable Laws Through Series Representations<br/><br/>Authors: Kozubowski, Tomasz; Podgórski, Krzysztof<br/><br/>Abstract: Let (Xi ) be a sequence of i.i.d. random variables, and letN be a geometric random variable independent of (Xi ). Geometric stabledistributions are weak limits of (normalized) geometric compounds, SN =X1 + · · · + XN , when the mean of N converges to infinity. By an appropriate representation of the individual summands in SN we obtain seriesrepresentation of the limiting geometric stable distribution. In addition, we study the asymptotic behavior of the partial sum process SN (t) = ⅀( i=1 ... [N t] ) Xi ,and derive series representations of the limiting geometric stable processand the corresponding stochastic integral. We also obtain strong invarianceprinciples for stable and geometric stable laws.Fri, 01 Jan 1999 00:00:00 GMTThe General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points
http://hdl.handle.net/10525/447
Title: The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points<br/><br/>Authors: El-sayed Ibrahim, Sobhy<br/><br/>Abstract: The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered overa regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operatormay have a finite number of singular points. By considering M over varioussubintervals on which singularities occur only at the ends, restrictions of themaximal operator generated by M in L2|w (a, b) which are regularly solvablewith respect to the minimal operators T0 (M ) and T0 (M + ). In addition todirect sums of regularly solvable operators defined on the separate subintervals,there are other regularly solvable restrications of the maximal operatorwhich involve linking the various intervals together in interface like style.Fri, 01 Jan 1999 00:00:00 GMTOn the Uniform Decay of the Local Energy
http://hdl.handle.net/10525/446
Title: On the Uniform Decay of the Local Energy<br/><br/>Authors: Vodev, Georgi<br/><br/>Abstract: It is proved in [1],[2] that in odd dimensional spaces any uniform decay of the local energy implies that it must decay exponentially. Weextend this to even dimensional spaces and to more general perturbations(including the transmission problem) showing that any uniform decay of thelocal energy implies that it must decay like O(t^(−2n) ), t ≫ 1 being the timeand n being the space dimension.Fri, 01 Jan 1999 00:00:00 GMTNew Binary Extremal Self-Dual Codes of Lengths 50 and 52
http://hdl.handle.net/10525/445
Title: New Binary Extremal Self-Dual Codes of Lengths 50 and 52<br/><br/>Authors: Buyuklieva, Stefka<br/><br/>Abstract: New extremal binary self-dual codes of lengths 50 and 52 areconstructed. Some of them are the first known codes with such weightenumerators. The structure of their automorphisms groups are shown.<br/><br/>Description: * This work was partially supported by the Bulgarian National Science Fund under Contract No. MM – 503/1995.Fri, 01 Jan 1999 00:00:00 GMT