Essays about: "Hilbert spaces"

Showing result 1 - 5 of 7 essays containing the words Hilbert spaces.

  1. 1. On quantum systems and the measurement problem

    University essay from Stockholms universitet/Fysikum

    Author : Nicolas Boulle; [2023]
    Keywords : Quantum physics; the measurement problem; quantum information; Hilbert spaces; physical systems; unitary; collapse; Euler angles parametrization; Copenhagen interpretation; many- world; measure;

    Abstract : We focus on the Tensor Product Structure (TPS) of the Hilbert space and the fact that a choice in the TPS has an impact on the representation of the studied quantum system. We define the measurement problem in quantum mechanics and present some theories about quantum mechanics, each of them highlighting a different approach to quantum measurements. READ MORE

  3. 2. Hilbert spaces and the Spectral theorem

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Felicia Lapinski; [2021]
    Keywords : ;

    Abstract : .... READ MORE

  4. 3. Mathematical Optimization in SVMs

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Erik Keanius; [2021]
    Keywords : ;

    Abstract : In this thesis, support vector machines (SVMs) are studied from a mathematical optimization viewpoint. Both the linear case using hard-margin as well as soft-margin classification and the non-linear case using kernel functions are discussed. The theory of kernel Hilbert spaces is introduced and related to the non-linear SVM case. READ MORE

  5. 4. Boundedness of a Class of Hilbert Operators on Modulation Spaces

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Nils Zandler Andersson; [2019]
    Keywords : ;

    Abstract : In this work we take interest in frames and modulation spaces. On the basis of their properties, we show how frame expansions can be used to prove the boundedness of a particular class of Hilbert operators on modulation spaces taking advantage of the special category of piece-wise polynomial functions known as B-splines. .. READ MORE

  6. 5. Comparative Study of Several Bases in Functional Analysis

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Maria Miranda Navarro; [2018]
    Keywords : Banach space; Hilbert space; Hamel basis; Schauder basis; Orthonormal basis;

    Abstract : From the beginning of the study of spaces in functional analysis, bases have been an indispensable tool for operating with vectors and functions over a concrete space. Bases can be organized by types, depending on their properties. This thesis is intended to give an overview of some bases and their relations. READ MORE