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@STRING{acha = {Appl.\ Comput.\ Harmon.\ Anal.}}
@STRING{aicm = {Adv.\ Comput.\ Math.}}
@string{jasa = "J.\ Acoust.\ Soc.\  Am."}
@STRING{balazs = {Balazs, Peter}}
@STRING{bast = {Bastiaans, Martin J.}}
@STRING{birk = {Birkh{\"a}user}}
@STRING{bitt = {Kai Bittner}}
@STRING{blu = {Blu, Thierry}}
@STRING{bolsk = {B{\"o}lcskei, Helmut}}
@STRING{casazza = {Casazza, Peter G.}}
@STRING{charlie = {Gr{\"o}chenig, Karlheinz}}
@STRING{daub = {Daubechies, Ingrid}}
@STRING{eld = {Eldar, Yonina C.}}
@STRING{fei = {Feichtinger, Hans .G}}
@STRING{heil = {Heil, Christopher}}
@STRING{high = {Higham, Nicholas J.}}
@STRING{hlaw = {Hlawatsch, Franz}}
@string{ieeetassp = "IEEE\ Trans.\ Acoust.\ Speech\ Signal\ Process."}
@STRING{ieeetransig = {IEEE\ Trans.\ Signal\ Process.}}
@STRING{j-SISSC = {SIAM\ J.\ Sci.\ Statist.\ Comput.}}
@STRING{jams = {J.\ Amer.\ Math.\ Soc.}}
@STRING{jans = {Janssen, Augustus Josephus Elisabeth Maria}}
@STRING{jfa = {J.\ Func.\ Anal.}}
@STRING{jfaa = {J.\ Fourier Anal.\ Appl.}}
@STRING{kaib = {Kaiblinger,Norbert}}
@STRING{kasso = {Okoudjou, Kasso A.}}
@STRING{leest = {van Leest, Arno J.}}
@STRING{mall = {Mallat, Stephane}}
@STRING{monat = {Monatsh.\ Math.}}
@STRING{nagase = {Nagase, Michihiro}}
@STRING{og = { and }}
@STRING{ole = {Christensen, Ole}}
@STRING{orr = {Orr, Richard S.}}
@STRING{pams = {Proc.\ Am.\ Math.\ Soc.}}
@STRING{prinz = {Prinz, Peter}}
@STRING{qiu = {Qiu, Sigang}}
@STRING{sigproc = {Signal\ Process.}}
@STRING{sonder = {S{\o}ndergaard, Peter Lempel}}
@STRING{stro = {Strohmer, Thomas}}
@STRING{tol = {Tolimieri, Richard}}
@STRING{toms = {{ACM}\ Trans.\ Math.\ Software}}
@STRING{torr = {Torr{\'e}sani, Bruno}}
@STRING{unser = {Unser, Michael}}
@STRING{vaillan = {Vaillancourt, R{\'e}mi}}
@STRING{walnut = {Walnut, David. F}}
@STRING{wicker = {Wickerhauser, Mladen Victor}}
@STRING{zamm = {ZAMM\ Z.\ Angew.\ Math.\ Mech.}}
@STRING{zeevi = {Zeevi, Yehoshua Y.}}
@STRING{zibul = {Zibulski, Meir}}

@article{aertsen1980strI,
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    year=1980,
}

@INCOLLECTION{bi03,
    author = bitt,
    title = {Wilson Bases on the Interval},
    booktitle = {Advances in {Gabor} Analysis},
    chapter = {9},
    pages = {197--222},
    comment = { wilint.ps },
    crossref = {fest03}
}

@INCOLLECTION{chst03-1,
    author = {ole # og # stro},
    title = {Methods for the Approximation of the Inverse {Gabor} Frame Operator},
    booktitle = {Advances in {Gabor} Analysis},
    chapter = {8},
    pages = {171--196},
    comment = { wilint.ps },
    crossref = {fest03}
}

@INCOLLECTION{ja98,
            author = jans,
            title = {{The duality condition for Weyl-Heisenberg frames}},
            booktitle = {{Gabor} Analysis and Algorithms},
            year = 1998,
            chapter = 1,
            pages = {33--84},
            crossref = {fest98}
            }

@INCOLLECTION{st98-8,
            author = stro,
            title = {Numerical Algorithms for Discrete {Gabor} Expansions},
            booktitle = {{Gabor} Analysis and Algorithms},
            chapter = {8},
            pages = {267--294},
            crossref = {fest98}
            }

@INCOLLECTION{fezi98,
    author = fei # og # {Zimmermann, Georg},
    title = {A {Banach} space of test functions and {Gabor} analysis},
    booktitle = {{Gabor} Analysis and Algorithms},
    chapter = {3},
    pages = {123--170},
    crossref = {fest98}
}

@INCOLLECTION{feno03,
    author = fei # og # {Nowak, K},
    title = {A first survey of {Gabor} multipliers},
    booktitle = {Advances in {Gabor} Analysis},
    year = {2003},
    chapter = {5},
    pages = {99--128},
    crossref = {fest03}
}

@INCOLLECTION{feko98,
    author = fei # og # {Kozek, Werner},
    title = {Operator Quantization on {LCA} Groups},
    booktitle = {{Gabor} Analysis and Algorithms},
    chapter = {7},
    pages = {233--266},
    crossref = {fest98}
}

@INCOLLECTION{behewa98,
    author = {Benedetto, J.J.} # og # heil # og # walnut,
    title = {{Gabor} systems and the {Balian}-{Low} theorem},
    booktitle = {{Gabor} Analysis and Algorithms},
    year = {1998},
    pages = {85--122},
    crossref = {fest98},
    keywords = {balian-low theorem;frames;gabor analysis;uncertainly principle;wil
        son basis;zak transform;density of exponentials},
    mr = {MR1601111}
}


@ARTICLE{doetor09,
    author = {D{\"o}rfler, M. and Torr{\'e}sani, B.},
    title = {Representation of operators in the time-frequency domain and generalized
        {G}abor multipliers},
    journal = {J. Fourier Anal. Appl.},
    year = {2010},
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    pages = {261-293},
    number = {2},
    month = {April},
    owner = {xxl},
    timestamp = {2009.07.28}
}


@ARTICLE{so07-2,
    author = sonder,
    title = {An Efficient Algorithm for the Discrete {Gabor} Transform using full
        length Windows},
    journal = {{IEEE}\ Signal\ Process.\ Letters},
    year = {submitted for publication, 2007}
}

@TECHREPORT{ja94-4,
    author = jans,
    title = {Duality and Biorthogonality for discrete-time {Weyl}-{Heisenberg
        frames}},
    institution = {Philips\ Electronics},
    year = {002{/}94},
    type = {Unclassified Report}
}

@ARTICLE{ba07,
    author = balazs,
    title = {{H}ilbert-{S}chmidt Operators and Frames - Classification, Best Approximation
        by Multipliers and Algorithms},
    journal = {International Journal of Wavelets, Multiresolution and Information
        Processing},
    year = {2008},
    volume = {6},
    pages = {315 -- 330},
    url = {http://arxiv.org/abs/math.FA/0611634}
}

@ARTICLE{so07-1,
    author = sonder,
    title = {Symmetric, discrete fractional splines and {Gabor} systems},
    journal = {preprint},
    year = {2008}
}

@ARTICLE{ba06,
    author = balazs,
    title = {Basic Definition and Properties of {B}essel Multipliers},
    journal = {Journal of Mathematical Analysis and Applications},
    year = {2007},
    volume = {325},
    pages = {571--585},
    number = {1},
    month = {January},
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    url = {http://dx.doi.org/10.1016/j.jmaa.2006.02.012}
}

@ARTICLE{jaso07,
    author = jans # og # sonder,
    title = {Iterative algorithms to approximate canonical {Gabor} windows: Computational
        aspects},
    journal = jfaa,
    year = {2007},
    volume = {published online},
    keywords = {gabor frames;iterative algorithms;zak transform},
    url = {http://dx.doi.org/10.1007/s00041-006-6069-y}
}

@ARTICLE{so06,
    author = sonder,
    title = {{Gabor} frames by Sampling and Periodization},
    journal = aicm,
    year = {2007},
    volume = {27},
    pages = {355 --373},
    number = {4},
    doi = {10.1007/s10444-005-9003-y}
}

@PHDTHESIS{ba05-1,
    author = balazs,
    title = {Regular and Irregular {Gabor} Multipliers with Application to Psychoacoustic
        Masking},
    school = {Fakult{\"a}t f{\"u}r Mathematik der Universit{\"a}t Wien},
    year = {2005},
    address = {Vienna},
    month = {june}
}

@ARTICLE{ka05,
    author = kaib,
    title = {Approximation of the {Fourier} Transform and the Dual {Gabor} Window},
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    year = {2005},
    volume = {11},
    pages = {25--42},
    number = {1},
    comment = {gd.ps}
}

@ARTICLE{ok04,
    author = kasso,
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    journal = pams,
    year = {2004},
    volume = {132},
    number = {6}
}

@ARTICLE{blun03,
    author = blu # og # unser,
    title = {A complete family of scaling functions: the $(\alpha,\tau)$-fractional
        splines},
    journal = {Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP
            '03). 2003 IEEE International Conference on},
    year = {2003},
    volume = {1},
    pages = {VI-421-4 vol.6},
    copyright = {Copyright 2003, IEEE},
    isbn = {0780376633},
    publisher = {IEEE}
}

@BOOK{ch03-1,
    title = {An Introduction to Frames and {Riesz} Bases},
    publisher = birk,
    year = {2003},
    author = ole
}

@INPROCEEDINGS{ja03-2,
    author = jans,
    title = {Some iterative algorithms to compute canonical windows for {Gabor}
        frames},
    booktitle = {Proceedings of {IMS} Workshop on Time-Frequency Analysis and Applications},
    year = {2003},
    address = {Singapore},
    month = {September}
}

@UNPUBLISHED{ja02b,
    author = jans,
    title = {Analysis of some fast algorithms to compute canonical windows for
        {Gabor} frames},
    note = {Unpublished},
    year = {2002}
}

@ARTICLE{jast02,
    author = jans # og # stro,
    title = {Characterization and computation of canonical tight windows for {Gabor}
        frames},
    journal = jfaa,
    year = {2002},
    volume = {8},
    pages = {1--28},
    number = {1},
    comment = { tight.ps.gz }
}

@ARTICLE{jast02-1,
    author = jans # og # stro,
    title = {Hyperbolic Secants Yield {Gabor} Frames},
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    number = {2},
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    language = {EN}
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@BOOK{wa02,
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    year = {2002},
    author = walnut,
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}

@BOOK{gr01,
    title = {Foundations of Time-Frequency Analysis},
    publisher = birk,
    year = {2001},
    author = charlie
}

@ARTICLE{blun00,
    author = blu # og # unser,
    title = {The fractional spline wavelet transform: definition end implementation},
    journal = {Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings.
        2000 IEEE International Conference on},
    year = {2000},
    volume = {1},
    pages = {512 -515 vol.1},
    isbn = {0780362934},
    publisher = {IEEE}
}

@ARTICLE{Chr00,
    author = ole,
    title = {Finite-Dimensional Approximation of the Inverse Frame Operator},
    journal = jfaa,
    year = {2000},
    volume = {6},
    pages = {79--91},
    number = {1},
    comment = { oleinvgabframe.pdf }
}

@ARTICLE{unbl00,
    author = unser # og # blu,
    title = {Fractional Splines and Wavelets},
    journal = {SIAM Review},
    year = {2000},
    volume = {42},
    pages = {43-67},
    number = {1},
    issn = {00361445}
}

@ARTICLE{bi99,
    author = bitt,
    title = {Error estimates and reproduction of polynomials for biorthogonal
        local trigonometric bases},
    journal = acha,
    year = {1999},
    volume = {6},
    pages = {75--102}
}

@TECHREPORT{hi99p,
    author = high,
    title = {A New \texttt{sqrtm} for {MATLAB}},
    institution = {Manchester Centre for Computational Mathematics},
    year = {1999},
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    pages = {11},
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}

@ARTICLE{bohl98,
    author = bolsk # og # hlaw,
    title = {Oversampled Cosine Modulated Filter Banks with Perfect Reconstruction},
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    year = {1998},
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    pages = {1057--1071},
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}

@BOOK{ma98,
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    year = {1998},
    author = mall,
    address = {San Diego, {CA}},
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}

@ARTICLE{qi98,
    author = qiu,
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    year = {1998},
    volume = {4},
    pages = {1--17},
    number = {1}
}

@ARTICLE{bohl97-1,
    author = bolsk # og # hlaw,
    title = {Discrete {Zak} transforms, polyphase transforms, and applications},
    journal = ieeetransig,
    year = {1997},
    volume = {45},
    pages = {851--866},
    number = {4},
    month = {april},
    keywords = {discrete fourier transform filter banks;gabor analysis;polyphase transform;discrete
        zak transform}
}

@ARTICLE{fegr97,
    author = fei # og # charlie,
    title = {{Gabor} Frames and Time-Frequency Analysis of Distributions},
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    year = {1997},
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    comment = { Lille format. }
}

@ARTICLE{ja97-1,
    author = jans,
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    year = {1997},
    volume = {3},
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    number = {5}
}

@ARTICLE{zezi97,
    author = zibul # og # zeevi,
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    pages = {188--221},
    number = {2},
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}

@INPROCEEDINGS{bofegrhl96-1,
    author = bolsk # og # fei # og # charlie # og # hlaw,
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}

@CONFERENCE{bohl96-1,
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    year = {1996},
    pages = {998-1002},
    month = {nov},
    comment = { asilomar96.pdf },
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    misc = {Pacific Grove (CA)},
    url = {http://www.nari.ee.ethz.ch/commth/pubs/p/asilomar96}
}

@ARTICLE{pr96,
    author = prinz,
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    number = {8},
    issn = {1053587x},
    publisher = {IEEE}
}

@INPROCEEDINGS{bohlfe95-1,
    author = bolsk # og # hlaw # og # fei,
    title = {Equivalence of {DFT} Filter banks and {Gabor} expansions},
    booktitle = {{SPIE} 95, Wavelet Applications in Signal and Image Processing {III}},
    year = {1995},
    volume = {2569, part {I}},
    address = {San Diego},
    month = {july},
    keywords = {algorithms;discrete fourier transform;discrete fourier transform filter
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            transform},
    mr = {MR1368684}
}

@article{bohlfe02,
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@article{buma04,
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}

@ARTICLE{ja95,
    author = jans,
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@ARTICLE{ja95-1,
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}

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    number = {10},
    copyright = {Copyright 1995, IEE},
    issn = {1053587x},
    publisher = {IEEE}
}

@ARTICLE{toor95,
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}

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@ARTICLE{zezi93,
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@ARTICLE{grle04,
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@ARTICLE{unaled93,
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    publisher = {IEEE}
}

@ARTICLE{unaled92,
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@ARTICLE{grjakapf03,
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    issn = {00189448},
    publisher = {IEEE}
}

@ARTICLE{dalala95,
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    number = {4},
    comment = {daublanlan.pdf }
}

@ARTICLE{dademo04,
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}

@ARTICLE{bafehakr06,
    author = balazs # og # fei # og # {Hampejs, Mario and Kracher, G{\"u}nther},
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    year = {2006},
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    number = {12},
    month = {December},
    url = {http://dx.doi.org/10.1109/TSP.2006.882100}
}

@ARTICLE{bage96,
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    pages = {151-166},
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}

@article{cooley1965algorithm,
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}

@ARTICLE{dajajo91,
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        orthonormal basis}
}


@inproceedings{decorsiere2011,
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}  


@inproceedings{depalle1997extraction,
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@article{dubase08,
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author={Perraudin, Nathana\"{e}l and }  # balazs # { and } # sonder,
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@article{ltfatnote039,
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@article{ltfatnote041,
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@article{fifu09,
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@article{ne02,
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@techreport{ltfatnote042,
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@ARTICLE{desomada15,
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