{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:17:33Z","timestamp":1761743853760},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,11,30]],"date-time":"2013-11-30T00:00:00Z","timestamp":1385769600000},"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":[[2014,6]]},"DOI":"10.1007\/s10444-013-9336-x","type":"journal-article","created":{"date-parts":[[2013,11,29]],"date-time":"2013-11-29T04:04:27Z","timestamp":1385697867000},"page":"609-627","source":"Crossref","is-referenced-by-count":6,"title":["Adjoint translation, adjoint observable and uncertainty principles"],"prefix":"10.1007","volume":"40","author":[{"given":"R.","family":"Levie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.-G.","family":"Stark","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Lieb","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Sochen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,11,30]]},"reference":[{"issue":"5","key":"9336_CR1","first-page":"541","volume":"10","author":"J Christensen","year":"2004","unstructured":"Christensen, J.: The uncertainty principle for operators determined by lie groups. J. Fourier Anal. Appl. (JFAA) 10(5), 541\u2013544 (2004)","journal-title":"J. Fourier Anal. Appl. (JFAA)"},{"issue":"2","key":"9336_CR2","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1142\/S021969130800229X","volume":"6","author":"S Dahlke","year":"2008","unstructured":"Dahlke, S., Kutyniok, G., Maass, P., Sagiv, C., Stark, H.G., Teschke, G.: The uncertainty principle associated with the continuous shearlet transform. Int. J. Wavelets, Multiresolution Inf. Process. (IJWMIP) 6(2), 157\u2013181 (2008)","journal-title":"Int. J. Wavelets, Multiresolution Inf. Process. (IJWMIP)"},{"key":"9336_CR3","doi-asserted-by":"crossref","unstructured":"Daubechies, I.: Ten lectures on wavelets SIAM (1992)","DOI":"10.1137\/1.9781611970104"},{"key":"9336_CR4","unstructured":"Feichtinger, H., Onchis, D., Ricaud, B., Torr\u00e9sani, B., Wiesmeyr, C.: A method for optimizing the ambiguity function concentration. In: Proceedings of EUSIPCO 2012, pp. 804\u2013808 (2012)"},{"key":"9336_CR5","doi-asserted-by":"crossref","unstructured":"Flandrin, P.: Inequalities in mellin-fourier signal analysis. In: Debnath, L. (ed.) Wavelet transforms and time-frequency signal analysis, pp. 289\u2013319. Birkhauser, Cambridge, MA (2001)","DOI":"10.1007\/978-1-4612-0137-3_10"},{"key":"9336_CR6","doi-asserted-by":"crossref","DOI":"10.1515\/9781400882427","volume-title":"Harmonic analysis in phase space","author":"G Folland","year":"1989","unstructured":"Folland, G.: Harmonic analysis in phase space. Princeton University Press, Princeton, NJ (1989)"},{"key":"9336_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0003-1","volume-title":"Foundations of time-frequency analysis","author":"K Groechenig","year":"2001","unstructured":"Groechenig, K.: Foundations of time-frequency analysis. Birkhaeuser, Cambridge, MA (2001)"},{"key":"9336_CR8","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1007\/BF01332181","volume":"201","author":"K Kraus","year":"1967","unstructured":"Kraus, K.: A further remark on uncertainty relations. Zeitschrift fuer Physik 201, 134\u2013141 (1967)","journal-title":"Zeitschrift fuer Physik"},{"key":"9336_CR9","unstructured":"Lantzberg, D., Lieb, F., Stark, H.G., Levie, R., Sochen, N.: Uncertainty principles, minimum uncertainty samplings and translations. In: Proceeedings of EUSIPCO 2012, pp. 799\u2013803 (2012)"},{"issue":"3","key":"9336_CR10","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1007\/s00041-009-9099-4","volume":"16","author":"P Maass","year":"2010","unstructured":"Maass, P., Sagiv, C., Sochen, N., Stark, H.G.: Do uncertainty minimizers attain minimal uncertainty. J. Fourier Anal. Appl. (JFAA) 16(3), 448\u2013469 (2010)","journal-title":"J. Fourier Anal. Appl. (JFAA)"},{"key":"9336_CR11","volume-title":"Mathematical Foundations of Quantum Mechanics","author":"J v Neumann","year":"1996","unstructured":"v. Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, NJ. Translation - from German edition (1996)"},{"key":"9336_CR12","unstructured":"Perraudin, N., Shuman, D., Vandergheynst, P.: UNLocXBox: short user guide - matlab convex optimization toolbox http:\/\/wiki.epfl.ch\/unlocbox (2012)"},{"key":"9336_CR13","unstructured":"Ricaud, B., Torresani, B.: A survey of uncertainty principles and some signal processing applications http:\/\/arxiv.org\/abs\/1211.5914 (2012)"},{"issue":"1\u20132","key":"9336_CR14","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s10851-006-8301-4","volume":"26","author":"C Sagiv","year":"2006","unstructured":"Sagiv, C., Sochen, N., Zeevi, Y.: The uncertainty principle: group theoretic approach, possible minimizers and scale space properties. Math. Imaging Vis. 26(1\u20132), 149\u2013166 (2006)","journal-title":"Math. Imaging Vis."},{"key":"9336_CR15","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.aml.2012.08.009","volume":"26","author":"HG Stark","year":"2013","unstructured":"Stark, H.G., Lieb, F., Lantzberg, D.: Variance based uncertainty principles and minimum uncertainty samplings. Appl. Math. Lett. 26, 189\u2013193 (2013)","journal-title":"Appl. Math. Lett."},{"key":"9336_CR16","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1007\/s00041-010-9157-y","volume":"17","author":"HG Stark","year":"2011","unstructured":"Stark, H.G., Sochen, N.: Square integrable group representations and the uncertainty principle. J. Fourier Anal. Appl. (JFAA) 17, 916\u2013931 (2011)","journal-title":"J. Fourier Anal. Appl. (JFAA)"},{"key":"9336_CR17","unstructured":"UNLocX-consortium: Uncertainty principles versus localization properties function systems for efficient coding schemes, fet open collaborative project unlocx, grant agreement no 255931. http:\/\/unlocx.math.uni-bremen.de\/ (2010)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-013-9336-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-013-9336-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-013-9336-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,4]],"date-time":"2019-08-04T03:11:21Z","timestamp":1564888281000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-013-9336-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,30]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["9336"],"URL":"https:\/\/doi.org\/10.1007\/s10444-013-9336-x","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,30]]}}}