[[pub#2013]]

[[#2015]]

[[#2014]]

[[#2013]]

(: [[#2014]] :)

[[#2014]]

[[#early]]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015' AND $this->get('NOTE')!==preprint][][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015' AND $this->get('NOTE')==preprint][][50]

bibtexquery:[bibfile.bib][$this->get('NOTE')==preprint][][]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015' $this->get('NOTE')!==preprint][][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015' $this->get('NOTE')==preprint][][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015' && $this->get('NOTE')==preprint][][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015'][$this->get('NOTE')!=preprint][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2015'][!$this->get('NOTE')==preprint][50]

!! 2013 & 2014 Publications

bibtexquery:[bibfile.bib][!$this->get('NOTE')==preprint]

!! Preprints & 2015 Publications

!! 2007 - 2014 Publications

%%comment * Click %height=16px%{$Filesdir}pdf.png to obtain '''preprint''' versions.

* Click %height=18px%{$Filesdir}world.png to go to the '''journal''' version of the paper ([[http://doi.org | DOI links]])
* Click %height=16px%{$Filesdir}pdf.png to obtain '''preprint''' versions.

!! Preprints & 2014 Publications

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2014'][!$this->get('NOTE')==preprint][50]

!! 2007 - 2013 Publications

!! Preprints & 2013 Publications

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2013'][!$this->get('NOTE')==preprint][50]

!! 2007 - 2012 Publications

!! Preprints & 2012 Publications

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2012'][!$this->get('NOTE')==preprint][50]

!! 2007 - 2011 Publications

[[early]]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2012'][$this->get('NOTE')==preprint][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2012'][$this->get('NOTE')][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2012'][$this->get('AUTHOR')][50]

Title: Wavelet Frames and Their Duals ([[Attach:lemvig_phdthesis.pdf|pdf]]). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

!! 2008 - 2011 Publications

bibtexquery:[bibfile.bib][$this->get('YEAR')=='2018'][$this->get('AUTHOR')][50]

!! Quick Guide:

* Click {$Filesdir}bibtex.gif to retrieve '''BibTeX''' metadata.

* Click %height=16px%{$Filesdir}pdf.png or use external links [[http://www.home.uni-osnabrueck.de/kutyniok/publications.html| Publications:Kutyniok]], [[{$Anawww}jlemvig/index.php?n=Mathematics.Publications| Publications:Lemvig]], or [[http://arxiv.org/| arXiv.org]] to obtain '''preprint''' versions.

!! Newest preprint

!! Quick Guide:
* Click %height=18px%{$Filesdir}world.png to go to the '''journal''' version of the paper ([[http://doi.org | DOI links]])
* Click %height=16px%{$Filesdir}pdf.png or use external links [[http://www.home.uni-osnabrueck.de/kutyniok/publications.html| Publications:Kutyniok]], [[{$Anawww}jlemvig/index.php?n=Mathematics.Publications| Publications:Lemvig]], or [[http://arxiv.org/| arXiv.org]] to obtain '''preprint''' versions.
* Click {$Filesdir}bibtex.gif to retrieve '''BibTeX''' metadata.

bibtexquery:[bibfile.bib][][!$this->get('YEAR')][50]

%maroon%Abstract%%. Fusion frame theory is an emerging mathematical theory that provides a natural framework for performing hierarchical data processing. A fusion frame is a frame-like collection of subspaces in a Hilbert space, thereby generalizing the concept of a frame for signal representation. In this paper, we study the existence and construction of fusion frames. We first present a complete characterization of a special class of fusion frames, called Parseval fusion frames. The value of Parseval fusion frames is that the inverse fusion frame operator is equal to the identity and therefore signal reconstruction can be performed with minimal complexity. We then introduce two general methods $ndash; the spatial complement and the Naimark complement - for constructing a new fusion frame from a given fusion frame. We then establish existence conditions for fusion frames with desired properties. In particular, we address the following question: Given {$M, N, m \in \mathbb{N}$} and {$\{\lambda_j\}_{j=1,...,M}$}, does there exist a fusion frame in {$\mathbb{R}^M$} with {$N$} subspaces of dimension {$m$} for which {$\{\lambda_j\}_{j=1,...,M}$} are the eigenvalues of the associated fusion frame operator? We address this problem by providing an algorithm which computes such a fusion frame for almost any collection of parameters {$M, N, m \in \mathbb{N}$} and {$\{\lambda_j\}_{j=1,...,M}$}. Moreover, we show how this procedure can be applied, if subspaces are to be added to a given fusion frame to force it to become Parseval.
%%

! Selected AAG Publications

Quick Guide:

bibtexquery:[bibfile.bib][][$this->get('YEAR')][50]

bibtexquery:[bibfile.bib][][$this->get('AUTHOR')][50]

bibtexquery:[bibfile.bib][50]

bibtexquery:[bibfile.bib]

bibtexquery:[bibfile.bib][$this->get('YEAR')=<'2013'][$this->get('AUTHOR')][50]

bibtexquery:[bibfile.bib][$this->get('YEAR')<'2013'][$this->get('AUTHOR')][50]

Title: Wavelet Frames and Their Duals ([[Attach:phd-thesis.pdf|pdf]]). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

Title: Wavelet Frames and Their Duals (Attach:PDF). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

!! Talks

Firstname Lastname: '''What is Web 2.0?'''
(:toggle show="(Show slideshow)" hide box2 button=0:)
>>id=box2<<
(:slideshare what-is-web-20-1194363300579044-4:)

>>comment<<

>><<

!! Preprints &amp; 2009 Publications