In this thesis, a fairly detailed survey on the q-classical orthogonal polynomials of the Hahn class is presented. Such polynomials appear to be the bounded solutions of the so called qhypergeometric difference equation having polynomial coefficients of degree at most two. The central idea behind our study is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation by means of a qualitative analysis of the relevant q-Pearson equation. To be more specific, a geometrical approach has been used by taking into account every posssible rational form of the polynomial coefficients, together with various relative positions of their zeros, in the q-Pearson equation to describe a desired q-weight function on a suitable orthogonality interval. Therefore, our method differs from the standard ones which are based on the Favard theorem and the three-term recurrence relation.

Die Arbeit befaßt sich mit Untersuchungen der Schwingungsdynamik von ZnMgEr/Ho/Y quasikristallen. Neben diesen werden auch Untersuchungen der magnetischen Eigenschaften durch Neutronenstreuung an denselben Proben durchgeführt.

We define valuations and dominance relations in torsion-free abelian groups and prove that they are essentially the same objects. Next we show that valuations correspond with ltrations of subgroups closed under division by integers. We also prove that every torsion-free abelian valued group can be embedded in the Hahn product of subgroups defined by the respective valuations. / En este trabajo definimos valoraciones y relaciones de dominación en grupos abelianos sin torsión y probamos que estos son esencialmente los mismos objetos. Adicionalmente probamos que las valoraciones también se corresponden con filtraciones de subgrupos cerrados por división por enteros y que todo grupo abeliano valorado y sin torsión puede sumergirse en el producto de Hahn de subgrupos definidos por la valoración.

Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-05-05T15:43:20Z No. of bitstreams: 2 Dissertação - Poliana Queiroz Borges - 2015.pdf: 1718946 bytes, checksum: 54ad826d94b3c278f823b6c4312ad22e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-05-05T15:46:43Z (GMT) No. of bitstreams: 2 Dissertação - Poliana Queiroz Borges - 2015.pdf: 1718946 bytes, checksum: 54ad826d94b3c278f823b6c4312ad22e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2015-05-05T15:46:43Z (GMT). No. of bitstreams: 2 Dissertação - Poliana Queiroz Borges - 2015.pdf: 1718946 bytes, checksum: 54ad826d94b3c278f823b6c4312ad22e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2015-02-23 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The objective of this study is to analyze the musical correspondences in "Hahn's Pentagon," the third narrative of Nove, Novena (1966), by Osman Lins. This work from the author's transitional phase, introduces several poetic innovations such as the use of unpronounceable signs, that establishes a silence full of meaning. Consider them a stylized representation of the musical figures already established in the musical writing, too little for the attempted approximation of the two artistic languages, the musical and the literary. The proposal became effectively possible by approaching the musical parameters of the characteristics of the characters and their respective semantic fields. For the configuration of what is called "literary score", the first part of this dissertation is dedicated to the configuration of the space, the pentagon. This geometric figure revealed several symbolic and also musical representations, constituting the pentagram or the stave where the compositions are written. The concept of soundscape was added to the constitution of space, expanding the musical possibilities in the literary text. The organum as a manifestation of polyphony, was composed by five narrative voices in equivalence with the "movements" of a musical composition. For the analysis of the characters, besides the musical equivalents, references were used from the field of symbolic hermeneutics, through the elements observed in the text. The question of silence returns when we analyze the title character, because the animal condition of Hahn, is also an impediment to his speech. As a final approximation between the arts, we notice the similarity of the musical composition technique called fugue with the structure of the work, indicating the idea of a musical transcription for the literary text. In developing this study, we base ourselves on the considerations of Mario Praz, Etienne Souriau and GE Lessing, with regard to the correspondence between the arts. For the symbolic image analysis we make use of the reflections of Mircea Eliade, Gaston Bachelard and Joseph Campbell. Undertaking an incursion through the text in search of the author's intent in redimentioning his poetics, we intend to contribute with new approaches to the multiple techniques used by Lins, with the intention to attain the fullness of his writing. / O objetivo deste estudo é analisar as correspondências musicais em “Pentágono de Hahn”, terceira narrativa de Nove, novena (1966), de Osman Lins. Esta obra da fase de transição do autor, apresenta diversas inovações poéticas, como a utilização dos sinais impronunciáveis, que instauram um silêncio cheio de significações. Considerá-los uma representação estilizada das figuras musicais já consagradas na escrita musical foi demasiado pouco para a tentativa de aproximação das duas linguagens artísticas, a musical e a literária. A proposta se tornou efetivamente possível aproximando os parâmetros musicais das características das personagens e de seus respectivos campos semânticos. Para a configuração do que se chamou “partitura literária”, a primeira parte dessa dissertação foi dedicada à configuração do espaço, o pentágono. Essa figura geométrica suscitou diversas representações simbólicas e também musicais, constituindo o pentagrama ou a pauta onde são escritas as composições. O conceito de paisagem sonora foi agregado à constituição do espaço, ampliando as possibilidades musicais no texto literário. O organum como manifestação da polifonia, foi composto pelas cinco vozes narrativas, em equivalência com os “movimentos” de uma composição musical. Para a análise das personagens, além das equivalências musicais, foram utilizadas referências no campo da hermenêutica simbólica, por via dos elementos observados no texto. A questão do silêncio retorna quando da análise da personagem título, pois a condição animal de Hahn, também é um impedimento para sua elocução. Como última aproximação entre as artes, observou-se a semelhança da técnica de composição musical denominada fuga com a estrutura da obra, sugerido a ideia de uma transcrição musical para a o texto literário. Para o desenvolvimento deste estudo, apoiamo-nos nas considerações de Mario Praz, Étienne Souriau e G.E. Lessing, no que diz respeito à correspondência entre as artes. Para as análises das imagens simbólicas recorremos às reflexões de Mircea Eliade, Gaston Bachelard e Joseph Campbell. Empreendendo uma incursão pelo texto em busca da intencionalidade do autor em redimensionar sua poética, pretendemos contribuir com novas abordagens acerca das múltiplas técnicas utilizadas por Lins na intenção de alcançar a plenitude de sua escrita.

Die Arbeit befaßt sich mit Untersuchungen der Schwingungsdynamik von ZnMgEr/Ho/Y quasikristallen. Neben diesen werden auch Untersuchungen der magnetischen Eigenschaften durch Neutronenstreuung an denselben Proben durchgeführt.

No description available.

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-17T14:00:23Z No. of bitstreams: 1 arquivototal.pdf: 1661057 bytes, checksum: 913a7f671e2e028b60d14a02274f932a (MD5) / Made available in DSpace on 2017-08-17T14:00:23Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1661057 bytes, checksum: 913a7f671e2e028b60d14a02274f932a (MD5) Previous issue date: 2015-02-27 / In this work we investigate the concept of topological vector spaces and their properties. In the rst chapter we present two sections of basic results and in the other sections we present a more general study of such spaces. In the second chapter we restrict ourselves to the real scalar eld and we study, in the context of locally convex spaces, the Hahn-Banach and Banach-Alaoglu theorems. We also build the weak, weak-star, of bounded convergence and of pointwise convergence topologies. Finally we investigate the Theorem of Banach-Steinhauss, the Open Mapping Theorem and the Closed Graph Theorem. / Neste trabalho, estudamos o conceito de espa cos vetoriais topol ogicos e suas propriedades. No primeiro cap tulo, apresentamos duas se c~oes de resultados b asicos e, nas demais se c~oes, apresentamos um estudo sobre tais espa cos de forma mais ampla. No segundo cap tulo, restringimo-nos ao corpo dos reais e fazemos um estudo sobre os espa cos localmente convexos, o Teorema de Hahn-Banach, o Teorema de Banach- Alaoglu, constru mos as topologias fraca, fraca-estrela, da converg^encia limitada e da converg^encia pontual. Por ultimo, estudamos o Teorema da Limita c~ao Uniforme, o Teorema do Gr a co Fechado e o da Aplica c~ao Aberta no contexto mais geral dos espa cos de Fr echet.

In this thesis we present an extensive characterization of weak* sequentially precompact subsets of the dual of a sequentially order complete M-space with an order unit. This central part of the thesis generalizes results due to H.H. Schaefer and X.D. Zhang showing that small weak* compact subsets of the dual of a space of bounded measurable real-valued functions (continuous real-valued functions on a compact quasi-Stonian space) are weakly compact. Moreover, while the proofs of Schaefer and Zhang use measure theoretical arguments, the arguments presented here are purely elementary and are based on the well-known result, that the space l1 has the Schur property. Finally some applications are given. For example, we investigate compact or sequentially precompact subsets, which consist of order-weakly compact operators, in the space of continuous linear operators defined on a sequentially order complete Riesz space with values in a Banach space provided with the strong operator topology: as an immediate consequence of the results, we can easily deduce extended versions of the Vitali-Hahn-Saks theorem for vector measures. For this we need a generalization of the Yosida-Hewitt decomposition theorem, which is proved here with other techniques like the factorization of an order-weakly compact operator through a Banach lattice with order continuous norm.

No description available.

No description available.