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Volumn 22, Issue 8, 2009, Pages 1286-1291

Orthogonal decompositions for wavelets

Author keywords

Bilateral shifts; Decomposition; Reducing subspaces; Unitary equivalence; Wavelets

Indexed keywords

BILATERAL SHIFTS; ORTHOGONAL DECOMPOSITIONS; REDUCING SUBSPACES; UNITARY EQUIVALENCE; UNITARY TRANSFORMATIONS; WAVELETS;

EID: 67349211765     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2009.01.044     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 34548504005 scopus 로고    scopus 로고
    • Abstract wavelets generated by Hilbert space shift operators
    • Kubrusly C.S., and Levan N. Abstract wavelets generated by Hilbert space shift operators. Adv. Math. Sci. Appl. 16 (2006) 643-660
    • (2006) Adv. Math. Sci. Appl. , vol.16 , pp. 643-660
    • Kubrusly, C.S.1    Levan, N.2
  • 2
    • 84941483062 scopus 로고
    • Shifts on Hilbert spaces
    • Halmos P.R. Shifts on Hilbert spaces. J. Reine Angew. Math. 208 (1961) 102-112
    • (1961) J. Reine Angew. Math. , vol.208 , pp. 102-112
    • Halmos, P.R.1
  • 7
    • 67349258501 scopus 로고    scopus 로고
    • Wavelets and expectations: A different path to wavelets
    • Chuong. N.M., Egorov Yu.V., Khrennikov A., Meyer Y., and Mumford D. (Eds), World Scientific, Hackensack, NJ
    • Gustafson K. Wavelets and expectations: A different path to wavelets. In: Chuong. N.M., Egorov Yu.V., Khrennikov A., Meyer Y., and Mumford D. (Eds). Harmonic, Wavelet and p-Adic Analysis (2007), World Scientific, Hackensack, NJ 5-22
    • (2007) Harmonic, Wavelet and p-Adic Analysis , pp. 5-22
    • Gustafson, K.1
  • 8
    • 33750698684 scopus 로고    scopus 로고
    • On generating wandering subspaces for unitary operators
    • Kubrusly C.S., and Levan N. On generating wandering subspaces for unitary operators. Adv. Math. Sci. Appl. 14 (2004) 41-48
    • (2004) Adv. Math. Sci. Appl. , vol.14 , pp. 41-48
    • Kubrusly, C.S.1    Levan, N.2
  • 9
    • 0038377547 scopus 로고    scopus 로고
    • A wavelet "time-shift-detail" decomposition
    • Levan N., and Kubrusly C.S. A wavelet "time-shift-detail" decomposition. Math. Comput. Simul. 63 (2003) 73-78
    • (2003) Math. Comput. Simul. , vol.63 , pp. 73-78
    • Levan, N.1    Kubrusly, C.S.2
  • 10
    • 33750733357 scopus 로고    scopus 로고
    • Time-shifts generalized multiresolution analysis over dyadic-scaling reducing subspaces
    • Levan N., and Kubrusly C.S. Time-shifts generalized multiresolution analysis over dyadic-scaling reducing subspaces. Int. J. Wavelets Multiresolut. Inf. Process. 2 (2004) 237-248
    • (2004) Int. J. Wavelets Multiresolut. Inf. Process. , vol.2 , pp. 237-248
    • Levan, N.1    Kubrusly, C.S.2
  • 11
    • 33750705610 scopus 로고    scopus 로고
    • Multiresolution approximation scale and time-shift subspaces
    • Levan N., and Kubrusly C.S. Multiresolution approximation scale and time-shift subspaces. Multidimens. Systems Signal Process. 17 (2006) 343-354
    • (2006) Multidimens. Systems Signal Process. , vol.17 , pp. 343-354
    • Levan, N.1    Kubrusly, C.S.2
  • 12
    • 84966210083 scopus 로고
    • On wandering subspaces for unitary operators
    • Robertson J.B. On wandering subspaces for unitary operators. Proc. Amer. Math. Soc. 16 (1965) 233-236
    • (1965) Proc. Amer. Math. Soc. , vol.16 , pp. 233-236
    • Robertson, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.