{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,15]],"date-time":"2024-02-15T10:59:15Z","timestamp":1707994755680},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,5,16]],"date-time":"2013-05-16T00:00:00Z","timestamp":1368662400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s10444-013-9307-2","type":"journal-article","created":{"date-parts":[[2013,5,15]],"date-time":"2013-05-15T09:24:53Z","timestamp":1368609893000},"page":"273-282","source":"Crossref","is-referenced-by-count":15,"title":["Construction of approximate dual wavelet frames"],"prefix":"10.1007","volume":"40","author":[{"given":"Hans G.","family":"Feichtinger","sequence":"first","affiliation":[]},{"given":"Darian M.","family":"Onchis","sequence":"additional","affiliation":[]},{"given":"Christoph","family":"Wiesmeyr","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,5,16]]},"reference":[{"issue":"6","key":"9307_CR1","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1016\/j.cam.2011.09.011","volume":"236","author":"P Balazs","year":"2011","unstructured":"Balazs, P., D\u00f6rfler, M., Jaillet, F., Holighaus, N., Velasco, G.A.: Theory, implementation and applications of nonstationary Gabor Frames. J. Comput. Appl. Math. 236(6), 1481\u20131496 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"9307_CR2","volume-title":"Generalized Inverses. Theory and Applications, 2nd edn","author":"A Ben Israel","year":"2003","unstructured":"Ben Israel, A., Greville, T.N.E.: Generalized Inverses. Theory and Applications, 2nd edn. Springer, NY (2003)"},{"key":"9307_CR3","series-title":"Stud. Adv. Math.","volume-title":"Harmonic Analysis and Applications","author":"JJ Benedetto","year":"1996","unstructured":"Benedetto, J.J.: Harmonic Analysis and Applications. Stud. Adv. Math. CRC Press, Boca Raton (1996)"},{"issue":"2","key":"9307_CR4","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.acha.2007.04.004","volume":"23","author":"M Bownik","year":"2007","unstructured":"Bownik, M., Lemvig, J.: The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal. 23(2), 263\u2013272 (2007)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9307_CR5","volume-title":"An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis","author":"O Christensen","year":"2003","unstructured":"Christensen, O.: An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis. Birkh\u00e4user, Boston (2003)"},{"issue":"1\u20133","key":"9307_CR6","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF03549525","volume":"9","author":"O Christensen","year":"2010","unstructured":"Christensen, O., Laugesen, R.S.: Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames. Sampl. Theor. Signal Image Process. 9(1\u20133), 77\u201389 (2010)","journal-title":"Sampl. Theor. Signal Image Process."},{"issue":"1\u20132","key":"9307_CR7","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1023\/B:ACOM.0000016435.42220.fa","volume":"21","author":"S Dahlke","year":"2004","unstructured":"Dahlke, S., Steidl, G., Teschke, G.: Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Adv. Comput. Math. 21(1\u20132), 147\u2013180 (2004)","journal-title":"Adv. Comput. Math."},{"key":"9307_CR8","volume-title":"Ten Lectures on Wavelets., volume 61 of CBMS-NSF Regional Conference Series in Applied Mathematics","author":"I Daubechies","year":"1992","unstructured":"Daubechies, I.: Ten Lectures on Wavelets., volume 61 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Society for Industrial and Applied Mathematics, Philadelphia (1992)"},{"issue":"3","key":"9307_CR9","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1006\/acha.2002.0381","volume":"12","author":"I Daubechies","year":"2002","unstructured":"Daubechies, I., Han, B.: The canonical dual frame of a wavelet frame. Appl. Comput. Harmon. Anal. 12(3), 269\u2013285 (2002)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9307_CR10","unstructured":"Feichtinger, H., Onchis, D., Ricaud B., Torr\u00e9sani, B., Wiesmeyr, C.: A method for optimizing the ambiguity function concentration. In: Proceedings of the European Signal Processing Conference, pp. 804\u2013808. IEEE (2012)"},{"key":"9307_CR11","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1007\/BFb0078863","volume":"1302","author":"HG Feichtinger","year":"1988","unstructured":"Feichtinger, H.G., Gr\u00f6chenig, K.: A unified approach to atomic decompositions via integrable group representations. Lect. Notes Math. 1302, 52\u201373 (1988)","journal-title":"Lect. Notes Math."},{"issue":"2","key":"9307_CR12","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/0022-1236(89)90055-4","volume":"86","author":"HG Feichtinger","year":"1989","unstructured":"Feichtinger, H.G., Gr\u00f6chenig, K.: Banach spaces related to integrable group representations and their atomic decompositions, I.J. Funct. Anal. 86(2), 307\u2013340 (1989)","journal-title":"J. Funct. Anal."},{"issue":"12","key":"9307_CR13","doi-asserted-by":"crossref","first-page":"3467","DOI":"10.1016\/j.cam.2010.05.010","volume":"234","author":"HG Feichtinger","year":"2010","unstructured":"Feichtinger, H.G., Onchis, D.: Constructive realization of dual systems for generators of multi-window spline-type spaces. J. Comput. Appl. Math. 234(12), 3467\u20133479 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"9307_CR14","series-title":"Appl. Numer. Harmon. Anal","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0003-1","volume-title":"Foundations of Time-Frequency Analysis","author":"K Gr\u00f6chenig","year":"2001","unstructured":"Gr\u00f6chenig, K.: Foundations of Time-Frequency Analysis. Appl. Numer. Harmon. Anal. Birkh\u00e4user Boston, Boston (2001)"},{"issue":"1","key":"9307_CR15","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/S1063-5203(02)00002-7","volume":"13","author":"W Sun","year":"2002","unstructured":"Sun, W., Zhou, X.: Irregular wavelet\/Gabor frames. Appl. Comput. Harmon. Anal. 13(1), 63\u201376 (2002)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9307_CR16","unstructured":"Velasco, G.A., Holighaus, N., D\u00f6rfler, M., Grill T.: Constructing an invertible constant-Q transform with non-stationary Gabor frames. Proceedings of DAFX11, Paris (2011)"},{"issue":"2","key":"9307_CR17","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/s10444-004-3139-z","volume":"22","author":"Z Zhang","year":"2005","unstructured":"Zhang, Z.: Periodic wavelet frames. Adv. Comput. Math. 22(2), 165\u2013180 (2005)","journal-title":"Adv. Comput. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-013-9307-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-013-9307-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-013-9307-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,17]],"date-time":"2022-02-17T02:32:05Z","timestamp":1645065125000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-013-9307-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,5,16]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["9307"],"URL":"https:\/\/doi.org\/10.1007\/s10444-013-9307-2","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,5,16]]}}}