Pars 1 and 2 are devoted to study of solutions of certain differential inequalities. Namely, in Part 1 we show that a germ of an analytic set (real or complex) admits a Gagliardo-Nirenberg type inequality with a certain exponent s>=1. At a regular point s=1, and the inequality becomes classical. As our examples show, s can be strictly greater than 1 even for an isolated singularity. In Part 2 we prove the property of unique continuation for solutions of differential inequality |\Delta u|<=|Vu| for a large class of potentials V. This result can be applied to the problem of absence of positive eigenvalues for self-adjoint Schroedinger operator -\Delta+V defined in the sense of the form sum. The results of Part 2 are joint with Leonid Shartser. In Parts 3 and 4 we derive the basic elements of complex function theory within some subalgebras of holomorphic functions (including extension from submanifolds, corona type theorem, properties of divisors, approximation property). Our key instruments and results are the analogues of Cartan theorems A and B for the `coherent sheaves' on the maximal ideal spaces of these subalgebras, and of Oka-Cartan theorem on coherence of the sheaves of ideals of the corresponding complex analytic subsets. More precisely, in Part 3 we consider the algebras of holomorphic functions on regular coverings of complex manifolds whose restrictions to each fiber belong to a translation-invariant Banach subalgebra of bounded functions endowed with sup-norm. The model examples of such subalgebras are Bohr's holomorphic almost periodic functions on tube domains, and all fibrewise bounded holomorphic functions on regular coverings of complex manifolds. In Part 4 the primary object of study is the subalgebra of bounded holomorphic functions on the unit disk whose moduli can have only boundary discontinuities of the first kind. The results of Parts 3 and 4 are joint with Alexander Brudnyi.

Tidigare forskning har pekat på samband mellan självkänsla och självupplevd stress vid akademiska studier. Hög självkänsla har varit en skyddsfaktor mot stress och medfört ett psykologiskt välbefinnande hos studenter. Det har dock förekommit både kulturella och demografiska skillnader gällande självkänsla och stress. Syftet med denna studie var att undersöka svenska högskolestuderandes demografiska variabler kön, ålder, civilstatus, arbete och barn samt globala självkänsla i relation till upplevd stress. Deltagarna i studien var 111 högskolestudenter vid 2 högskolor i Mellansverige, varav 74 kvinnor. En kvantitativ undersökning genomfördes, där självkänsla och självupplevd stress undersöktes. Rosenbergs Self-Esteem Scale och The Perceived Stress Scale användes som mätinstrument i undersökningen. Resultatet visade på svaga och icke signifikanta samband mellan demografiska variabler och upplevd stress. Resultatet visade ett signifikant negativt samband mellan självkänsla och upplevd stress, men även mellan samtliga prediktorer och upplevd stress. Den enda variabeln av relevans för att undvika stress, visade sig vara självkänslan.

This study uses an magnetohydrodynamics (MHD) model to simulate unsteady one-dimensional transport variables in argon plasma, under low pressure and weak ionization between two planar electrodes suddenly biased by a negative voltage or electric field. Plasma has been widely used in etching, ion implantation, light source, and nuclear fusion, etc. Studying transport processes of plasmas therefore is important. Ignoring magnetic field, collisions between ions and electrons, the computed results in this work shows density, velocity, voltage, electric field, energy and temperature transport phenomenon in different cases. The results give insight by theory and simulation the surfaces behavior in plasma. Keywords: magnetohydrodynamics (MHD), transport variables in sheath,space charge

The classical Lu Qi-keng Conjecture asks whether the Bergman kernel function for every domain is zero free. The answer is no, and several counterexamples exist in the literature. However, the more general Lu Qi-keng Problem, that of determining which domains in Cn have vanishing kernels, remains a difficult open problem in several complex variables. A challenge in studying the Lu Qi-keng Problem is that concrete formulas for kernels are generally difficult or impossible to compute. Our primary focus is on developing methods of computing concrete formulas in order to study the Lu Qi-keng Problem. The kernel for the annulus was historically the first counterexample to the Lu Qi-keng Conjecture. We locate the zeros of the kernel for the annulus more precisely than previous authors. We develop a theory giving a formula for the weighted kernel on a general planar domain with weight the modulus squared of a meromorphic function. A consequence of this theory is a technique for computing explicit, closed-form formulas for such kernels where the weight is associated to a meromorphic kernel with a finite number of zeros on the domain. For kernels associated to meromorphic functions with an arbitrary number of zeros on the domain, we obtain a weighted version of the classical Ramadanov's Theorem which says that for a sequence of nested bounded domains exhausting a limiting domain, the sequence of associated kernels converges to the kernel associated to the limiting domain. The relationship between the zeros of the weighted kernels and the zeros of the corresponding unweighted kernels is investigated, and since these weighted kernels are related to unweighted kernels in C^2, this investigation contributes to the study of the Lu Qi-keng Problem. This theory provides a much easier technique for computing certain weighted kernels than classical techniques and provides a unifying explanation of many previously known kernel formulas. We also present and explore a generalization of the Lu Qi-keng Problem.

Abstract The study reported here was tring to examine the macroeconomic variables that determine the earnings multiple of the Taiwan stock market. For this study, monthly time-series data were used for each of the variables from 1991 through 2001. We used earnings to price ratio¡]E/P¡^as the dependent variable¡AM1B¡BGDP¡]lag¡^¡Bmarket return¡Bcapital increasing rate¡Blog of 5 years bond yield¡Binflation rate¡Blag of earning growth and market value to GNP ratio¡]MV/GNP¡^as the independent variables to construct a multiple-regression model. And we finded the maraket value to GNP ratio¡]MV/GNP¡^was the most powerful variable of the 5 significant variables. GDP¡]lag¡^was second, capaital incresing rate ranked third. Market return was fourth, and M1B was the fifth most explanatory variable. Both capaital increasing rate¡]supply side¡^and M1B¡]demand side¡^variables were signifinant¡Ameant the Law of Supply ¡® Demand remained unchanged in the Taiwan stock market.

Thèse : Sciences mathématiques : Paris, Faculté des sciences : 1860. / Titre provenant de l'écran-titre.

Thèse de doctorat : Mathématiques. Statistique : Toulouse 3 : 2008. / Titre provenant de l'écran-titre. Bibliogr. p. 219-249.

Reproduction de : Thèse de doctorat : Automatique et informatique industrielle : Lille 1 : 2004. / N° d'ordre (Lille 1) : 3546. Résumé en français et en anglais. Titre provenant de la page de titre du document numérisé. Bibliogr. p. [217]-231. Liste des publications.

Thèse de doctorat : Mathématiques : Lille 1 : 2001. / N° d'ordre (Lille) : 3081. Résumé en français et en anglais. Bibliogr. p. 181-183.

Thesis (Ph. D.)--West Virginia University, 2001. / Title from document title page. Document formatted into pages; contains iv, 60 p. Includes abstract. Includes bibliographical references (p. 64-66).