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121	Regularity and boundary behavior of solutions to complex Monge–Ampère equations Ivarsson, Björn January 2002 (has links) <p>In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. Here the complex Monge--Ampère operator has a role similar to that of the Laplace operator in the theory of subharmonic functions. The complex Monge--Ampère operator is nonlinear and therefore it is not as well understood as the Laplace operator. We consider two types of boundary value problems for the complex Monge--Ampere equation in certain pseudoconvex domains. In this thesis the right-hand side in the Monge--Ampère equation will always be smooth, strictly positive and meet a monotonicity condition. The first type of boundary value problem we consider is a Dirichlet problem where we look for plurisubharmonic solutions which are zero on the boundary of the domain. We show that this problem has a unique smooth solution if the domain has a smooth bounded plurisubharmonic exhaustion function which is globally Lipschitz and has Monge--Ampère mass larger than one everywhere. We obtain some results on which domains have such a bounded exhaustion function. The second type of boundary value problem we consider is a boundary blow-up problem where we look for plurisubharmonic solutions which tend to infinity at the boundary of the domain. Here we also assume that the right-hand side in the Monge--Ampère equation satisfies a growth condition. We study this problem in strongly pseudoconvex domains with smooth boundary and show that it has solutions which are Hölder continuous with arbitrary Hölder exponent α, 0 ≤ α < 1. We also show a uniqueness result. A result on the growth of the solutions is also proved. This result is used to describe the boundary behavior of the Bergman kernel.</p> Mathematics Complex Monge--Ampère operator interior regularity plurisubharmonic function blow-up rate of solutions globally Lipschitz strongly pseudoconvex domain hyperconvex domain Bergman kernel MATEMATIK MATHEMATICS MATEMATIK
122	Regularity and boundary behavior of solutions to complex Monge–Ampère equations Ivarsson, Björn January 2002 (has links) In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. Here the complex Monge--Ampère operator has a role similar to that of the Laplace operator in the theory of subharmonic functions. The complex Monge--Ampère operator is nonlinear and therefore it is not as well understood as the Laplace operator. We consider two types of boundary value problems for the complex Monge--Ampere equation in certain pseudoconvex domains. In this thesis the right-hand side in the Monge--Ampère equation will always be smooth, strictly positive and meet a monotonicity condition. The first type of boundary value problem we consider is a Dirichlet problem where we look for plurisubharmonic solutions which are zero on the boundary of the domain. We show that this problem has a unique smooth solution if the domain has a smooth bounded plurisubharmonic exhaustion function which is globally Lipschitz and has Monge--Ampère mass larger than one everywhere. We obtain some results on which domains have such a bounded exhaustion function. The second type of boundary value problem we consider is a boundary blow-up problem where we look for plurisubharmonic solutions which tend to infinity at the boundary of the domain. Here we also assume that the right-hand side in the Monge--Ampère equation satisfies a growth condition. We study this problem in strongly pseudoconvex domains with smooth boundary and show that it has solutions which are Hölder continuous with arbitrary Hölder exponent α, 0 ≤ α < 1. We also show a uniqueness result. A result on the growth of the solutions is also proved. This result is used to describe the boundary behavior of the Bergman kernel. Mathematics Complex Monge--Ampère operator interior regularity plurisubharmonic function blow-up rate of solutions globally Lipschitz strongly pseudoconvex domain hyperconvex domain Bergman kernel MATEMATIK MATHEMATICS MATEMATIK
123	Spökmaskinen : Sju förändringar och förflyttningar – gestaltningsprocesser i animerad film Claesson, Nils January 2017 (has links) The Ghost Machine is a practice-based research project that explores the process of embodiment in animated film. It describes the process of transfiguration from the artist’s/auteur’s point of view and not from an outside position. The dissertation follows the embodiment of a dramatic text, the Ghost Sonata by August Strindberg (1907), into an animated film. The starting point is my experience of the drama, at the age of thirteen, when staged by Ingmar Bergman at the Royal Dramatic Theatre. As a teenager, the world of the grown-ups seemed to be corrupt, twisted and ruled by violent power plays and economic sanctions, and this play confirmed my world view. Was I right, as a thirteen-year-old boy? What kind of world emerges in my version of the Ghost Sonata? In this thesis work, the films and the experimental research process meet the practice and art of writing. Using text, not as “theory” separated from “practice” but as a bodily art practice, creates a shifting border between the results and intentions of art and filmmaking, and the results of writing. At the same time a unity emerges where the results of the research process can be seen and experienced in the interaction between the texts and the artwork. The Ghost Machine is a totality where the text, films and artworks included in the project are equally important and must be seen as a unity. The Ghost Machine is a work journey where travelling, animated film practice, networking with colleagues and collecting data are mixed with experiments using methods from contemporary arts practice, performance, reenactment, appropriation and transfiguration, blended with traditional puppet animation in classic Czech style. In collaboration with actors, mime artists, puppet makers, musicians and a minimal film crew, century old stop-motion animation is combined with computer animation. The textual part of the work falls into two categories: life stories and work stories. The work stories traces the forming of an artwork in all aspects. The life stories are related to the subject of ghosts. Suddenly, dead friends and dear family members claimed their space. The understanding of the Ghost Sonata came to be a process of sorting out and following lines of memory using an inverted version of the Orpheus myth as a guide. Instead of never turning around, when walking the dead out of oblivion, I chose to look back, again and again, until I hit something and could not write anymore. / https://www.uniartsplay.se/slin film animation stop motion workstories life stories films literature performance transfigurations politics of memory the inverted Orpheus myth Bergman Strindberg artistic research improvisation embodiment Gestaltung-fiction Arts Konst
124	The analysis of Toeplitz operators, commutative Toeplitz algebras and applications to heat kernel constructions. / The analysis of Toeplitz operators, commutative Toeplitz algebras and applications to heat kernel constructions. Issa, Hassan 19 June 2012 (has links) No description available. 510 Mathematik EDCA 360 EDCA 350 EDAD 550 EDA 020 ECI 020 ECI 990 ECIA 150 EDA 020 EDAD 150 EDCA 700 EEE 010 EEGJ 990 EEHF 050 Mathematics and Computer Science Bergman Räumen Toeplitz Operatoren Kommutativer Algebren Wärmeleitungskerne sub-ellipttischer operatoren Kompakt Toeplitz operatoren Berezin transformation beschränkten symmetrichen Gebieten Bergman spaces Toeplitz operators commutative algebras heat kernel construction sub-elliptic Operators Compact Toeplitz Operators Berezin transform Bounded symmetric domains 31.47 31.46 31.45 31.41 31.42 31.43 31.55
125	Les vecteurs cycliques dans des espaces de fonctions analytiques Hanine, Abdelouahab 28 June 2013 (has links) (PDF) Cette thèse est consacrée à l'étude du problème de la cyclicité dans certains espaces de fonctions analytiques sur le disque unité. Nous nous intéressons aux espaces de type Bergman et aux espaces de type Korenblum. Dans la première partie, nous étudions les fonctions cycliques dans les espaces de type Korenblum en utilisant la notion des prémesures. Cette notion a été introduite et développée par B. Korenblum au début des années 1970s. En particulier, nous donnons une réponse positive à une conjecture énoncée par C. Deninger. Dans la deuxième partie, nous utilisons la méthode de la résolvante pour étudier la cyclicité des fonctions intérieures singulières associées aux mesures de Dirac dans les espaces de type Bergman à poids. Espaces de Bergman à poids espaces de type Korenblum fonction cyclique fonction intérieure singulière prémesures ensemble de type Carleson mesures Lambda-singulière la méthode de la résolvante
126	Cinéma analytique et transfert : l'expérience spectatorielle dans Persona et L'Heure du loup de Bergman et Antichrist, Melancholia et Nymphomaniac de Von Trier Cabart, Anaïs 12 1900 (has links) No description available. Transfert Expérience spectatorielle Esthétique Emotions Images archétypiques et symboliques Ingmar Bergman Lars von Trier Jungian psychoanalysis Transference Spectator’s experience Aesthetic Emotion Figural analysis Archetypal and symbolic images

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