Haar wavelet (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Haar wavelet" in English language version.

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doi.org

see p. 361 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
Lee, B.; Tarng, Y. S. (1999). "Application of the discrete wavelet transform to the monitoring of tool failure in end milling using the spindle motor current". International Journal of Advanced Manufacturing Technology. 15 (4): 238–243. doi:10.1007/s001700050062. S2CID 109908427.
As opposed to the preceding statement, this fact is not obvious: see p. 363 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
Vidakovic, Brani (2010). Statistical Modeling by Wavelets. Wiley Series in Probability and Statistics (2 ed.). pp. 60, 63. doi:10.1002/9780470317020. ISBN 9780470317020.
p. 361 in Haar (1910) Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
Philip Franklin, A set of continuous orthogonal functions, Math. Ann. 100 (1928), 522-529. doi:10.1007/BF01448860

encyclopediaofmath.org

"Orthogonal system", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
Golubov, B.I. (2001) [1994], "Faber–Schauder system", Encyclopedia of Mathematics, EMS Press
Franklin system. B.I. Golubov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Franklin_system&oldid=16655

handle.net

hdl.handle.net

see p. 361 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
As opposed to the preceding statement, this fact is not obvious: see p. 363 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
p. 361 in Haar (1910) Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038

hmc.edu

fourier.eng.hmc.edu

"haar". Fourier.eng.hmc.edu. 30 October 2013. Archived from the original on 21 August 2012. Retrieved 23 November 2013.

icm.edu.pl

matwbn.icm.edu.pl

The question appears p. 238, §3 in Banach's book, Banach, Stefan (1932), Théorie des opérations linéaires, Monografie Matematyczne, vol. 1, Warszawa: Subwencji Funduszu Kultury Narodowej, Zbl 0005.20901. The disk algebra A(D) appears as Example 10, p. 12 in Banach's book.

semanticscholar.org

api.semanticscholar.org

see p. 361 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
Lee, B.; Tarng, Y. S. (1999). "Application of the discrete wavelet transform to the monitoring of tool failure in end milling using the spindle motor current". International Journal of Advanced Manufacturing Technology. 15 (4): 238–243. doi:10.1007/s001700050062. S2CID 109908427.
As opposed to the preceding statement, this fact is not obvious: see p. 363 in Haar (1910). Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038
p. 361 in Haar (1910) Haar, Alfréd (1910), "Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen, 69 (3): 331–371, doi:10.1007/BF01456326, hdl:2027/uc1.b2619563, S2CID 120024038

sepstanford.edu

The Haar Transform

uni-goettingen.de

www-gdz.sub.uni-goettingen.de

Faber, Georg (1910), "Über die Orthogonalfunktionen des Herrn Haar", Deutsche Math.-Ver (in German) 19: 104–112. ISSN 0012-0456; http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN37721857X ; http://resolver.sub.uni-goettingen.de/purl?GDZPPN002122553

resolver.sub.uni-goettingen.de

Faber, Georg (1910), "Über die Orthogonalfunktionen des Herrn Haar", Deutsche Math.-Ver (in German) 19: 104–112. ISSN 0012-0456; http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN37721857X ; http://resolver.sub.uni-goettingen.de/purl?GDZPPN002122553

web.archive.org

"haar". Fourier.eng.hmc.edu. 30 October 2013. Archived from the original on 21 August 2012. Retrieved 23 November 2013.

worldcat.org

Faber, Georg (1910), "Über die Orthogonalfunktionen des Herrn Haar", Deutsche Math.-Ver (in German) 19: 104–112. ISSN 0012-0456; http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN37721857X ; http://resolver.sub.uni-goettingen.de/purl?GDZPPN002122553

zbmath.org

The question appears p. 238, §3 in Banach's book, Banach, Stefan (1932), Théorie des opérations linéaires, Monografie Matematyczne, vol. 1, Warszawa: Subwencji Funduszu Kultury Narodowej, Zbl 0005.20901. The disk algebra A(D) appears as Example 10, p. 12 in Banach's book.