In 2014, Astala, Päivärinta, Reyes, and Siltanen conducted numerical experiments reconstructing a piecewise continuous conductivity. The algorithm of the shortcut method is based on the reconstruction algorithm due to Nachman, which assumes a priori that the conductivity is Hölder continuous. In this dissertation, we prove that, in the presence of infinite-precision data, this shortcut procedure accurately recovers the scattering transform of an essentially bounded conductivity, provided it is constant in a neighborhood of the boundary. In this setting, Nachman’s integral equations have a meaning and are still uniquely solvable. To regularize the reconstruction, Astala et al. employ a high frequency cutoff of the scattering transform. We show that such scattering transforms correspond to Beltrami coefficients that are not compactly supported, but exhibit certain decay at infinity. For this class of Beltrami coefficients, we establish that the complex geometric optics solutions to the Beltrami equation exist and exhibit the same subexponential decay as described in the 2006 work of Astala and Päivärinta. This is a first step toward extending the inverse scattering map of Astala and Päivärinta to non-compactly supported conductivities.

We construct a theory of general boundary value problems for differential operators whose symbols do not necessarily satisfy the Atiyah-Bott condition [3] of vanishing of the corresponding obstruction. A condition for these problems to be Fredholm is introduced and the corresponding finiteness theorems are proved.

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This thesis is dedicated to establishing ways in which the image of Calderon was perceived and constructed by the thinkers of the Enlightenment, of both conservative and reformist convictions, as part of their efforts to create and impose their own understanding of what Spanish national identity is or should be like. / The thesis concentrates on the writings of several of the most important intellectuals of the XVIII century who took part in the heated debate as to the value of Calderon's work: Blas Nasarre y Ferriz, Tomas Erauso y Zabaleta, Nicolas Fernandez de Moratin, Cristobal Romea y Tapia, Jose Clavijo y Fajardo and Francisco Mariano Nipho. / The first two chapters of the thesis deal with the way by which the image of Calderon has been used in order to support certain ideological convictions, in particular, a certain way of understanding Spanish national identity. Chapter three examines the polemics itself, from its beginning in 1749 until the mid-sixties of the XVIII century. A brief section of conclusions closes the thesis, followed by a selected bibliography.

The purpose of this thesis is to investigate the process of manipulation of the image of the Golden Age playwright Pedro Calderon de la Barca (1600--1681) during the eighteenth and nineteenth centuries. Intellectuals of all political stripes sought to impose their own agendas by advancing both conservative and reformist convictions as they used the figure of Calderon to their own advantage in the creation of a 'Spanish national identity' for the time. / The research conducted here focuses on the writings of various thinkers of the rival ideologies over the two centuries mentioned above. What this demonstrates most cogently is how, first, the appropriation of Calderon's image always played an essential role in the political debate about 'national identity,' and, secondly, how the dramatist's image was increasingly identified with the values and parameters of conservative ideology. / The first chapter deals with the origins of the debate about the idea of a 'national identity' during the eighteenth century, and analyses in detail the ideological duality and division which characterized this debate as well as its strongly political background. The next two chapters examine respectively the writings of Bohl de Faber and Menendez Pelayo, both of whom took on key roles in the debate. The interpretation provided in these two chapters leads to the conclusion that, by the nineteenth century, Calderon's image was strongly identified with conservative ideology. The thesis ends with some final conclusions, followed by a select bibliography.

This thesis examines the image of the absent mother, and its implications, in a limited selection of plays by Pedro Calderon de la Barca. The characters studied are Segismundo and Rosaura from La vida es sueno , Semiramis from La hija del aire and Focas, Eraclio y Leonido from En la vida todo es verdad y todo mentira. The study was done from a psychoanalytic perspective, using as reference the theories of Erik Erikson, Jacques Lacan and John Bowlby. Erikson's ideas are based on Freud but with some changes, since he represents the ego's functions as well as a greater elaboration of classic psychoanalytical concepts. His main argument is that the ego's nature is determined not only by inner forces but by social and cultural influences. His theory encompasses a series of psychological development stages that occur throughout an individual's life cycle. Jacques Lacan obtained international fame through his personal interpretation of---and rupture with---Freud. The main emphasis of his work is in the importance of language as the mirror of the unconscious mind. John Bowlby is considered one of the most important psychiatrists of the twentieth century. His attachment theory is one of the principle theoretical developments in psychoanalysis in the latter part of this century. The purpose of this investigation was to give an explanation of the selected characters and their psychological development based on the proposed theories. The consequences of maternal deprivation and isolation manifest themselves in the development of the personality of the characters, mainly impeding the normal formation of the ego and super ego.

Made available in DSpace on 2016-06-02T20:28:31Z (GMT). No. of bitstreams: 1 6761.pdf: 873396 bytes, checksum: b17536b60aaf01b64fbee4ee616019ff (MD5) Previous issue date: 2015-03-13 / Financiadora de Estudos e Projetos / The present work aims to present an example of linear a functional defined on a dense subspace of the Hardy space H1(Rn) to be built, with the intention of showing that despite the fact that this functional is uniformly bounded on all atoms, it does not extend to a bounded functional on the whole H1(Rn). This example was published by Bownik, M.B [2]. Therefore, this shows that in general is not enough to verify that an operator or a functional is bounded on atoms to conclude that it extends boundedly to the whole space. The construction is based on the fact due to Y. Meyer [1] which states that quasi-norms corresponding to finite and infinite atomic decomposition in Hp(Rn), 0 < p 6 1 are not equivalent. On the other hand it will be given a necessary and suficient condition for when and operator T defined in a dense Hardy subspace Hp(Rn) for 0 < p 6 1 is bounded extended. Such conditions were published by D. Yang and Y. Zhou [3]. / Neste trabalho apresentaremos um exemplo de um funcional linear definido em um subespaço denso do espaço de Hardy H1(Rn), o qual apesar de ser uniformemente limitado sobre todos os átomos tal funcional não se estende limitadamente sobre o espaço H1(Rn). Este exemplo foi publicado por Bownik, M.B [2]. Por conseguinte, isto mostra que, em geral, não é suficiente verificar que um operador ou funcional limitado em átomos, para concluir que tal funcional ou operador se estende limitadamente ao espaço todo. A construção é baseada em Y. Meyer [1] que afirma que as semi-normas correspondente a decomposição atômica finita e a decomposição atômica infinita em Hp(Rn), 0 < p 6 1 não são equivalentes. Por outro lado, daremos uma condição necessária e suficiente de quando um operador linear T definido em um subespaço denso do espaço de Hardy Hp(Rn) para p 2 (0; 1] pode ser estendido limitadamente. Tais condições foram publicadas por D. Yang e Y. Zhou [3].

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Informe de Seminario para optar al grado de Licenciado en Lengua y Literatura Hispánica mención Literatura / Autor no autoriza el acceso a texto completo de su documento.

The topic of the thesis are the activities of drug cartels in Mexico, which can act as a threat to the state. To assess the severity of threats was used the concept of security offered by representatives of the Copenhagen School. They divide security into five sectors and allow us to do a deeper analysis. This is a case study where a few cases are examined in depth. The main objective is therefore to assess whether the activity of Mexican drug cartels is an objective threat to the state. As part of our work, we set a secondary goal. It consists in comparison the approaches of former Mexico presidents Felipe Calderón and Enrique Peña Nieta in the context of the fight against drug cartels. We will therefore concentrate on common but also different features in the respective policies of both actors.