Search for dissertations about: "Several complex variable"

Showing result 1 - 5 of 107 swedish dissertations containing the words Several complex variable.

  2. 1. On Herglotz-Nevanlinna functions in several variables

    Author : Mitja Nedic; Annemarie Luger; B. L. G. Jonsson; Ragnar Sigurðsson; Pamela Gorkin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Herglotz-Nevanlinna functions; several complex variables; integral representations; Nevanlinna measures; Herglotz-Nevanlinnafunktioner; flera komplexa variabler; integralframställningar; Nevanlinnamått; Mathematics; matematik;

    Abstract : In this thesis, we investigate different aspects of the class of Herglotz-Nevanlinna functions in several variables. These are holomorphic functions on the poly-upper half-plane having non-negative imaginary part. Our results are presented in the four research articles A1 - A4, which are included in this thesis. READ MORE

  4. 2. Studies in complex financial instruments and their valuation

    Author : Niklas Ekvall; Handelshögskolan i Stockholm; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES;

    Abstract : During the last two decades there has been an explosion in the number of complex financial instruments that are traded on the financial markets. Naturally, being able to value the increasing number of traded complex financial instruments has an academic interest. Such valuation methods are, however, certainly not only of interest to academics. READ MORE

  5. 3. Regularity and boundary behavior of solutions to complex Monge–Ampère equations

    Author : Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Complex Monge--Ampère operator; interior regularity; plurisubharmonic function; blow-up rate of solutions; bounded plurisubharmonic exhaustion function; globally Lipschitz; strongly pseudoconvex domain; hyperconvex domain; Bergman kernel; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : 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. READ MORE

  6. 4. Integral representations of Herglotz-Nevanlinna functions

    Author : Mitja Nedic; Annemarie Luger; Alexandru Aleman; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral representations; Herglotz-Nevanlinna functions; several complex variables; Mathematics; matematik;

    Abstract : In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. READ MORE

  7. 5. Zeros and growth of entire functions of several variables, the complex Monge-Ampère operator and some related topics

    Author : Yang Xing; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : The classical Levin-Pfluger theory of entire functions of completely regular growth (CRG) of finite order p in one variable establishes a relation between the distribution of zeros of an entire function and its growth. The most important and interesting result in this theory is the fundamental principle for CRG functions. READ MORE