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Volumn 180, Issue 3, 2007, Pages 237-253

Coorbit space theory for quasi-Banach spaces

Author keywords

Atomic decompositions; Coorbit spaces; Gabor frames; Lorentz spaces; Modulation spaces; Nonlinear approximation; Quasi Banach spaces; Wiener amalgam spaces

Indexed keywords


EID: 34547263541     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm180-3-4     Document Type: Article
Times cited : (59)

References (18)
  • 1
    • 4043157765 scopus 로고    scopus 로고
    • Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
    • S. Dahlke, G. Steidl, and G. Teschke, Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere, Adv. Comp. Math. 21 (2004), 147-180.
    • (2004) Adv. Comp. Math , vol.21 , pp. 147-180
    • Dahlke, S.1    Steidl, G.2    Teschke, G.3
  • 3
    • 0000653944 scopus 로고
    • On the regular representation of a nonunimodular locally compact group
    • M. Duflo and C. C. Moore, On the regular representation of a nonunimodular locally compact group, J. Funct. Anal. 21 (1976), 209-243.
    • (1976) J. Funct. Anal , vol.21 , pp. 209-243
    • Duflo, M.1    Moore, C.C.2
  • 4
    • 84966254620 scopus 로고
    • A characterization of minimal homogeneous Banach spaces
    • H. G. Feichtinger, A characterization of minimal homogeneous Banach spaces, Proc. Amer. Math. Soc. 81 (1981), 55-61.
    • (1981) Proc. Amer. Math. Soc , vol.81 , pp. 55-61
    • Feichtinger, H.G.1
  • 5
    • 33646510633 scopus 로고    scopus 로고
    • Modulation spaces on locally compact Abelian groups
    • R. Radha et al, eds, Chennai, New Delhi Allied Publ
    • _, Modulation spaces on locally compact Abelian groups, in: R. Radha et al. (eds.), Proc. Internat. Conf. on Wavelets and Applications (Chennai, 2002), New Delhi Allied Publ., 2003, 1-56.
    • (2002) Proc. Internat. Conf. on Wavelets and Applications , pp. 1-56
    • Feichtinger, H.G.1
  • 6
    • 0002566774 scopus 로고
    • A unified approach to atomic decompositions via integrable group representations
    • Functions, Spaces and Applications Lund, Springer
    • H. G. Feichtinger and K. Gröchenig, A unified approach to atomic decompositions via integrable group representations, in: Functions, Spaces and Applications (Lund, 1986), Lecture Notes in Math. 1302, Springer, 1988, 52-73.
    • (1986) Lecture Notes in Math , vol.1302 , pp. 52-73
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 7
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions I
    • _, _, Banach spaces related to integrable group representations and their atomic decompositions I, J. Funct. Anal. 86 (1988), 307-340.
    • (1988) J. Funct. Anal , vol.86 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 8
    • 0001736922 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions II
    • _, _, Banach spaces related to integrable group representations and their atomic decompositions II, Monatsh. Math. 108 (1989), 129-148.
    • (1989) Monatsh. Math , vol.108 , pp. 129-148
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 9
    • 23944499554 scopus 로고    scopus 로고
    • Continuous frames, function spaces, and the discretiza-tion problem
    • M. Fornasier and H. Rauhut, Continuous frames, function spaces, and the discretiza-tion problem, J. Fourier Anal. Appl. 11 (2005), 245-287.
    • (2005) J. Fourier Anal. Appl , vol.11 , pp. 245-287
    • Fornasier, M.1    Rauhut, H.2
  • 11
    • 30844456696 scopus 로고
    • Describing functions: Atomic decompositions versus frames
    • K. Gröchenig, Describing functions: atomic decompositions versus frames, Monatsh. Math. 112 (1991), 1-41.
    • (1991) Monatsh. Math , vol.112 , pp. 1-41
    • Gröchenig, K.1
  • 13
    • 0347311801 scopus 로고
    • Unconditional bases in translation and dilation invariant function spaces on ℝ
    • B. Sendov et al, eds, Varna
    • _, Unconditional bases in translation and dilation invariant function spaces on ℝ, in: B. Sendov et al. (eds.), Constructive Theory of Functions (Varna, 1987), 1988, 174-183.
    • (1987) Constructive Theory of Functions , pp. 174-183
    • Gröchenig, K.1
  • 14
    • 0034343545 scopus 로고    scopus 로고
    • Nonlinear approximation with heal Fourier bases
    • K. Gröchenig and S. Samarah, Nonlinear approximation with heal Fourier bases, Constr. Approx. 16 (2000), 317-331.
    • (2000) Constr. Approx , vol.16 , pp. 317-331
    • Gröchenig, K.1    Samarah, S.2
  • 15
    • 0001057010 scopus 로고
    • On L(p,q) spaces
    • R. A. Hunt, On L(p,q) spaces, Enseign. Math. 12 (1966), 249-276.
    • (1966) Enseign. Math , vol.12 , pp. 249-276
    • Hunt, R.A.1
  • 16
    • 11844256923 scopus 로고    scopus 로고
    • Banach frames in coorbit spaces consisting of elements which are in-variant under symmetry groups
    • H. Rauhut, Banach frames in coorbit spaces consisting of elements which are in-variant under symmetry groups, Appl. Comput. Harm. Anal. 18 (2005), 94-122.
    • (2005) Appl. Comput. Harm. Anal , vol.18 , pp. 94-122
    • Rauhut, H.1
  • 17
    • 34547321563 scopus 로고    scopus 로고
    • Wiener amalgam spaces with respect to quasi-Banach spaces
    • to appear
    • H. Rauhut, Wiener amalgam spaces with respect to quasi-Banach spaces, Colloq. Math., to appear.
    • Colloq. Math
    • Rauhut, H.1
  • 18
    • 0000456831 scopus 로고
    • Modulation spaces on the Euclidean n-space
    • H. Triebel, Modulation spaces on the Euclidean n-space, Z. Anal. Anwendungen 5 (1983), 443-457.
    • (1983) Z. Anal. Anwendungen , vol.5 , pp. 443-457
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.