La thèse se compose de quatre articles. Dans l'article I, " Hardy spaces for the Laplacian with lower order perturbations ", on considère les espaces de Hardy des fonctions harmoniques pour le Laplacien avec une perturbation de type gardient ou de Schrödinger, sous des conditions de Kato. On y montre le théorème de représentation pour les espaces de Hardy sur les domaines bornés au bord lisse dans l'espace euclidien. L'article II, " On hardy spaces ", traite des caractérisations des espaces de Hardy et des espaces de Hardy conditionnels du Laplacien et du Laplacien fractionnaire à l'aide des identités de Hardy-Stein. Dans l'article III, " Boundary behavior of alpha-harmonic functions on the complement of the sphere and hyperplane ", on étudie les fonctions harmoniques pour le Laplacien fractionnaire sur l'espace euclidien privé d'une sphère ou d'un hyperplan. On obtient les théorèmes de représentation pour les espaces de Hardy ainsi que les théorèmes de Fatou. On établit également la formule explicite pour le noyau de Martin sur l'espace euclidien privé d'une sphère et pour la fonction de Green, le noyau de Martin et la mesure harmonique sur l'espace euclidien privé d'un hyperplan. L'article IV, " Martin représentation, Relative Fatou Theorem and Hardy spaces for fractional Laplacian with a gardient perturbation ", concerne la théorie du potentiel pour le Laplacien fractionnaire avec une perturbation de type gardient. On y montre l'existence de noyau de Martin pour les domaines bornés au bord lisse ainsi que la représentation de Martin pour les fonctions harmoniques. Le théorème de Fatou relatif et le théorème de représentation pour les espaces de Hardy y sont également établis.

The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics. In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. The main result is a two-term asymptotic expansion of the ground state energy in terms of Z. Paper B deals with Hardy inequalities for the kinetic energy of a particle in the presence of an external magnetic field. If the magnetic field has a non-trivial radial component, we show that Hardy’s classical lower bound can be improved by an extra term depending on the magnetic field. In Paper C we study interacting Bose gases and prove Lieb-Thirring type estimates for several types of interaction potentials, such as the hard-sphere interaction in three dimensions, the hard-disk interaction in two dimensions as well as homogeneous potentials. / <p>QC 20140520</p>

Cette thèse présente quelques résultats de la théorie des probabilités non commutatives, et traite en particulier des inégalités de martingales dans des algèbres de von Neumann et de leurs espaces de Hardy associés. La première partie démontre un analogue non commutatif de la décomposition de Davis faisant intervenir la fonction carrée. Les arguments classiques de temps d'arrêt ne sont plus valides dans ce cadre, et la preuve se base sur une approche duale. Le deuxième résultat important de cette partie détermine ainsi le dual de l'espace de Hardy conditionnel h_1(M). Ces résultats sont ensuite étendus au cas 1

Thesis (Ph. D.)--Tufts University, 1999. / Adviser: Sheila Emerson. Submitted to the Dept. of English. Includes bibliographical references (leaves 177-184). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

Zugl.: Berlin, Humboldt-Univ., Habil.-Schr., 2003

This study consists of two volumes. Volume II contains the analysis of fifty-one songs by Gerald Finzi (1901-1956) to poems by Thomas Hardy (1840-1928). The analysis is based on a preconceived model which focuses on a critical examination of the texts and considers the basic elements of music in each song. Certain stylistic features are apparent from this study and are reflected in Volume I. After a biographical sketch of each artist and a discussion of the texts, a sample of the analysis is presented. The basic elements of music are then discussed: timbre, duration, pitch organization, dynamics, texture, structure, mood and atmosphere. Volume I concludes with a general statement on the stylistic features of the composer and considers the artists' genius in the light of the study. Finzi's setting of such a comparatively large number of Hardy poems is a result of the former's intense interest in English literature and sympathy with much of Hardy's personal philosophies such as the uselessness of suffering which fills an indifferent world. Finzi's settings are firmly embedded in tonal traditions but he explores a great variety of subtle atmospheres within the confines of tonality. The declamation of the texts is of superior quality and the composer achieves an individual language of expression unparalleled in the song-writing of the first half of the twentieth century in England / Hierdie studie beslaan twee volumes. Volume II behels die analise van een-en-vyftig liedere van Gerald Finzi ( 1901-1956) na tekste van Thomas Hardy ( 1840-1928). Die analises is gebaseer op 'n vooraf ontwrepte model op grond waarvan die tekste krities geevalueer, en die basiese musikale elemente bestudeer is. Sekere stilistiese tendense wat uit hierdie studie blyk, word in Volume I weergegee. Na 'n kort biografiese skets van beide kunstenaars en 'n bespreking van die tekste, word 'n uittreksel van die analise aangebied. Hiema volg 'n ondersoek na die basiese elemente van musiek: toonkleur, toonduur, toonhoogte, toonstrekte, tekstuur, struktuur en die skep van atmosfeer. Volume I sluit af met 'n samevatting van die stylkenmerke en 'n slotbeskouing van beide kunstenaars se geniale bydrae. Finzi se toonsetting van 'n relatief groot aantal gedigte van Hardy spruit uit sy intense belangstelling in die Engelse letterkunde en sy vereenselwiging met die persoonlike filosofee van Hardy - veral die gedagte van onnodige lyding in 'n apatiese wereld. Finzi toonset hoofsaaklik in 'n tonale styl, maar ondersoek 'n groot verskeidenheid delikate atmosfeerskeppinge binne die tonale raamwerk. Sy deklamering van tekste is van hoogstaande gehalte en die komponis bring 'n pesoonlike uitdrukkingsvorm, ongeewenaar in die liederkuns van die eerste helfte van die twintigste eeu in Engeland, tot stand / D.Mus. (Musicology)

Made available in DSpace on 2014-06-11T19:25:23Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-05-23Bitstream added on 2014-06-13T20:08:08Z : No. of bitstreams: 1 silva_ie_me_arafcl.pdf: 547814 bytes, checksum: b7e92a8c84d9d767a09f24764778abb4 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Thomas Hardy é um autor cuja produção se assenta no período que compreende o final do século XIX e o começo do século XX, momento que marca não apenas o fim de uma era histórica e o recomeço de novos tempos, mas caracteriza também uma ocasião de mudança na concepção literária. No caso inglês, aquele período apontava para um declínio da literatura vitoriana – com seus temas baseados na moral austera da época, ancorada na figura íntegra da rainha Vitória – e revelava os primeiros indícios de uma tendência literária voltada para o retrato do homem cindido, imerso no processo de crise existencial e destituído de muitas de suas antigas certezas. Este trabalho apresenta uma análise do romance Tess of the d‟Urbervilles com vistas a flagrar, segundo o ponto de vista de Thomas Hardy, a crise de valores que se estabelece, quando o modo de produção capitalista avança sobre as antigas instituições feudais na Inglaterra daquele tempo e deflagra um processo de reconsideração dos papéis dos indivíduos na sociedade. O estopim desta efervescência foram os desdobramentos da Revolução Industrial e as inovações nos campos científico e cultural que convulsionaram os padrões de comportamento e colocaram em questionamento a própria conduta humana. Com ironia, a sociedade vitoriana é criticada e, seus costumes, em grande monta, são apresentados como hipócritas no romance de Hardy, que tem um desfecho fatalista e parece retratar a visão desencantada do homem daquele momento sobre o destino de sua própria espécie no mundo em ascendente ebulição. Publicado pela primeira vez em 1891 e concebido sob a forma realista, interessa à pesquisa o romance Tess of the d‟Urbervilles justamente pelo seu caráter duplo: pertence ao cânone da literatura vitoriana e, ao mesmo tempo, antecipa a temática modernista do colapso da solidez humana. Para apontar esta crise, adotamos... / Thomas Hardy‟s works are set in a time comprehending the end of nineteenth century and the beginning of twentieth century, a period that not only highlights the end of a historical era and the beginning of a new time, but also characterizes an occasion of change in literary conception. That period in England was representative of the decay of Victorian literature – with moral-based themes inspired in Queen Victoria‟s integrity – and it showed up the first signs of a literary tendency of revealing the image of the divided man, sunk into the process of existential crisis and void of many of his previous certainties. This study presents an examination on Tess of the d‟Urbervilles in order to depict, according to Thomas Hardy‟s point of view, the crisis of values installed in the social order, when capitalism advances over the old feudal institutions in England at that time and sets forth a process of reconsideration of the roles of the individuals in society. The starting point of all this effervescence was the Industrial Revolution and its implications that brought innovation to scientific and cultural realms, disrupting old standards of behaviour and putting human conduct in check. The Victorian society is criticized with irony and many of its habits are taken as hypocrisies in Hardy‟s novel, which ends fatalistically, seeming to portrait man‟s disappointed view about his own destiny in the disturbed world in that time. Tess of the d‟Urbervilles, written under the realist form, was published for the first time in 1891 and it is important to this research because of its double character: it belongs to the canon of Victorian literature and, at the same time, anticipates the modernist theme of the collapse of human solidity. To point out this crisis, we take Raymond Williams‟s position that considers Hardy not simply a regionalist writer exclusively worried with... (Complete abstract click electronic access below)

Made available in DSpace on 2016-06-02T20:27:39Z (GMT). No. of bitstreams: 1 4422.pdf: 847446 bytes, checksum: c445c9730923b5ebe59f8eb9e0deb921 (MD5) Previous issue date: 2012-05-23 / Universidade Federal de Minas Gerais / Suppose that M is a smooth submanifold of CN and that L = &#8746;z&#8712;CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p &#8712; M we can consider the vector space Ap = CTpM &#8745; Lp. If the reunion of those fibers originates a locally integrable structure, then we are going to say that M is a CR submanifold with CR structure A = &#8746;p&#8712;MAp. It immediately follows that if h is a holomorphic application defined in a certain neighborhood U &#8835; M, then A(h|M) = 0. If we consider a distribution u &#8712; D&#8242;(M) such that Au = 0, then one can asks: is there a holomorphic application h defined in certain open set U such that h|M = u? The question, as it is, can be paraphrased as: is there any analytic extension of the CR distribution u? The answer is negative and there are several examples one can create. Consider a quadric application q : Cm × Cm &#8722;&#8594; Cd and the manifold given by M = {(w, t) &#8712; Cm × Cd,&#8465;t = q(w,w)}. Boggess has proved in [Bog01] that all Lp CR distributions in M (with p &#8805; 1) admit a holomorphic extension to the interior of the convex hull of M. In this work, we are going to address the same question, but we are going to deal with CR distributions that are in hp with p > 0. Since hp(M) = Lp(M) if p > 1, then our result can be understood as an extension of the original Boggess theorem. The main ingredient of your work is a version of the Baouendi-Treves Approximation Theorem. / Suponha M uma subvariedade suave de CN e L = &#8746;z&#8712;CnLz a estrutura de Cauchy-Riemann associado ao espaço complexo N-dimensional. Para cada ponto p &#8712; M podemos considerar o espaço vetorial Ap = CTpM &#8745; Lp. Caso a reunião dessas fibras deem origem a uma estrutura localmente integrável diremos que M ´e uma subvariedade CR com estrutura A = &#8746;p&#8712;MAp. Da construção feita, segue imediatamente que se h ´e uma aplicação holomorfa definida em uma vizinhança U &#8835; M então A(h|M) = 0. Ora, se considerarmos agora uma distribuição u &#8712; D&#8242;(M) tal que Au = 0 surge uma pergunta natural: existe uma aplicação h holomorfa definida em um aberto U tal que h|M = u? A pergunta, posta como está, poderá ser repetida de maneira enxuta como: a distribuição CR u tem extensão holomorfa? De forma geral a resposta é negativa e os exemplos são variados. Considere uma aplicação q : Cm × Cm &#8722;&#8594; Cd quádrica e a variedade M = {(w, t) &#8712; Cm × Cd,&#8465;t = q(w,w)}. Ora, Boggess demonstrou em [Bog01] que toda distribuição CR em M, que também é uma função Lp com p &#8805; 1, admite uma extensão holomorfa no interior da envoltória convexa de M. Neste trabalho, investigaremos a mesma questão, mas consideraremos distribuições CR em M que estejam em hp com p > 0. Como hp(M) = Lp(M) se p > 1 podemos entender que nosso texto ´e uma extensão do resultado apresentado por Boggess. O ingrediente fundamental para essa generalização é uma versão do Teorema de Aproximação de Baouendi-Treves.

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