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DTSTART:20181122T120000Z
DTEND:20181121T230000Z
SUMMARY:PhD Defence by Marzieh Hasannasabjaldehbakhani
DESCRIPTION:<p> <strong>Title:</strong> &ldquo;Operator representations of frames and structured function systems&rdquo;\n</p>\n<p><em>Place: Thursday  22 November, 2018 at 13:00,The Technical University of Denmark, Building 308, Auditorium 12, 2800 Kgs. Lyngby\n</em></p>\n<p><strong>Principal supervisor</strong>: Professor Ole Christensen\n<br />\n<strong>Co-supervisor:</strong> Associate Professor Jakob Lemvig\n</p>\n<p><strong>Examiners</strong>:\n<br />\nAssociate Professor Kim Knudsen, DTU Compute\n<br />\nAssociate Professor Karl Grosse-Erdmann, University of Mons\n<br />\nProfessor Morten Nielsen, Aalborg University\n</p>\n<p>Chairman:\nAssociate Professor Kristian Uldall Kristiansen, DTU Compute\n</p>\n<p><strong>Summary</strong>: Typical results for representation and analysis of signals are obtained using frame theory. A particular&nbsp;and important role is played by the so-called structured function systems, e.g., Gabor systems and wavelet systems. While certain classes of signals are known to be treated most efficiently by either a Gabor system or a wavelet system, other signals have features that made it adventurous to use a combination of these systems. An appropriate class of systems for this purpose is formed by the so-called Generalizes shift-invariant systems (GSI-systems). One of the advantages of GSI-systems is that they apply to as well one-dimensional as higher-dimensional signals. The project will generalize some of the important results from Gabor/wavelet theory to the setting of GSI-systems, e.g., necessarily conditions in term of lower bounds of the Calderon sum.&nbsp;\nFor applications of frames to concrete signals, it is crucial to have efficient representations of the involved frames. A substantial part of the project will consist in the analysis of frames that can be represented using iterations of a single bounded operator. This part of the project connects frame theory with deep problems in operator theory.&nbsp;\n</p>\n<p><a href="http://orbit.dtu.dk/en/publications/operator-representations-of-frames-and-structured-function-systems(a0c0e335-97f6-4a32-b78a-69ff0b537a59).html">READ MORE at orbit.dtu.dk</a></p>\n<p>A copy of the PhD thesis is available for reading at the department.\n</p>\n<p>Everyone is welcome.</p>
X-ALT-DESC;FMTTYPE=text/html:<p> <strong>Title:</strong> &ldquo;Operator representations of frames and structured function systems&rdquo;\n</p>\n<p><em>Place: Thursday  22 November, 2018 at 13:00,The Technical University of Denmark, Building 308, Auditorium 12, 2800 Kgs. Lyngby\n</em></p>\n<p><strong>Principal supervisor</strong>: Professor Ole Christensen\n<br />\n<strong>Co-supervisor:</strong> Associate Professor Jakob Lemvig\n</p>\n<p><strong>Examiners</strong>:\n<br />\nAssociate Professor Kim Knudsen, DTU Compute\n<br />\nAssociate Professor Karl Grosse-Erdmann, University of Mons\n<br />\nProfessor Morten Nielsen, Aalborg University\n</p>\n<p>Chairman:\nAssociate Professor Kristian Uldall Kristiansen, DTU Compute\n</p>\n<p><strong>Summary</strong>: Typical results for representation and analysis of signals are obtained using frame theory. A particular&nbsp;and important role is played by the so-called structured function systems, e.g., Gabor systems and wavelet systems. While certain classes of signals are known to be treated most efficiently by either a Gabor system or a wavelet system, other signals have features that made it adventurous to use a combination of these systems. An appropriate class of systems for this purpose is formed by the so-called Generalizes shift-invariant systems (GSI-systems). One of the advantages of GSI-systems is that they apply to as well one-dimensional as higher-dimensional signals. The project will generalize some of the important results from Gabor/wavelet theory to the setting of GSI-systems, e.g., necessarily conditions in term of lower bounds of the Calderon sum.&nbsp;\nFor applications of frames to concrete signals, it is crucial to have efficient representations of the involved frames. A substantial part of the project will consist in the analysis of frames that can be represented using iterations of a single bounded operator. This part of the project connects frame theory with deep problems in operator theory.&nbsp;\n</p>\n<p><a href="http://orbit.dtu.dk/en/publications/operator-representations-of-frames-and-structured-function-systems(a0c0e335-97f6-4a32-b78a-69ff0b537a59).html">READ MORE at orbit.dtu.dk</a></p>\n<p>A copy of the PhD thesis is available for reading at the department.\n</p>\n<p>Everyone is welcome.</p>

URL:https://www.dtu.dk/da/sitecore/Indhold/Institutter/Compute/DTU-Compute-OLD/Forside/Kalender/2018/11/PhD-Defence-by-Marzieh-Hasannasabjaldehbakhani
DTSTAMP:20260923T195600Z
UID:{4EBE2988-FF19-428E-9841-BEFE50F961E9}-20181122T120000Z-20181122T120000Z
LOCATION: DTU, Building 308, Auditorium 12
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