Blar i NTNU Open på forfatter "Skrettingland, Eirik"
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Affine quantum harmonic analysis
Berge, Eirik; Berge, Stine Marie; Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2022) -
Convolutions for Berezin quantization and Berezin-Lieb inequalities
Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2018)Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb ... -
Convolutions for Localization Operators
Skrettingland, Eirik (Master thesis, 2017)The theory of quantum harmonic analysis on phase space introduced by Werner is presented and formulated precisely using the terminology of time-frequency analysis and abstract harmonic analysis. Convolutions of functions ... -
Convolutions for localization operators
Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2018)Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator provide a conceptual framework for the ... -
Equivalent Norms for Modulation Spaces from Positive Cohen’s Class Distributions
Skrettingland, Eirik (Peer reviewed; Journal article, 2022)We give a new class of equivalent norms for modulation spaces by replacing the window of the short-time Fourier transform by a Hilbert–Schmidt operator. The main result is applied to Cohen’s class of time-frequency ... -
Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators
Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2019)We study mixed-state localization operators from the perspective of Werner’s operator convolutions which allows us to extend known results from the rank-one case to trace class operators. The idea of localizing a signal ... -
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators
Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2019)Recently we introduced mixed-state localization operators associated with a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalues and eigenvectors. Our main focus is ... -
On Gabor g-frames an Fourier series of operators
Skrettingland, Eirik (Peer reviewed; Journal article, 2021)We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over lattices in R2d that include multi-window Gabor frames as a special case. These frame-like structures are called Gabor ... -
Quantum Harmonic Analysis on Lattices and Gabor Multipliers
Skrettingland, Eirik (Peer reviewed; Journal article, 2020)We develop a theory of quantum harmonic analysis on lattices in R2d. Convolutions of a sequence with an operator and of two operators are defined over a lattice, and using corresponding Fourier transforms of sequences and ... -
Time-Frequency Analysis Meets Quantum Harmonic Analysis
Skrettingland, Eirik (Doctoral theses at NTNU;2021:152, Doctoral thesis, 2021)The subject of this thesis is the study of quantum harmonic analysis and timefrequency analysis, and in particular the intersection of these two fields. Quantum harmonic analysis is studied abstractly both by obtaining new ... -
A Wiener Tauberian theorem for operators and functions
Luef, Franz; Skrettingland, Eirik (Peer reviewed; Journal article, 2021)We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic analysis, i.e. for convolutions between an absolutely integrable function and a trace class operator, or of two trace class operators. ...