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Volumn 58, Issue 5, 2009, Pages 2003-2042

Besov spaces and frames on compact manifolds

Author keywords

Besov spaces; Frames; Manifolds; Pseudodifferential operators.; Spectral theory; Wavelets

Indexed keywords


EID: 75949118709     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2009.58.3741     Document Type: Article
Times cited : (34)

References (23)
  • 1
    • 0033233501 scopus 로고    scopus 로고
    • Wavelets on manifolds I: Construction and domain decomposition
    • W. DAHMEN and R. SCHNEIDER, Wavelets on manifolds I: Construction and domain decomposition, Siam J. Math. Anal. 31 (1999), 184-230.
    • (1999) Siam J. Math. Anal. , vol.31 , pp. 184-230
    • Dahmen, W.1    Schneider, R.2
  • 3
    • 0002566774 scopus 로고
    • A unified approach to atomic decompositions via integrable group representations
    • Springer, Berlin-Heidelberg-New York
    • H.G. FEICHTINGER and K. GRÖCHENIG,A Unified Approach to Atomic Decompositions via Integrable Group Representations, Lect. Notes Math., vol.132, Springer, Berlin-Heidelberg-New York, 1988.
    • (1988) Lect. Notes Math. , vol.132
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 4
    • 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 (1989), 307-340.
    • (1989) J. Funct.Anal. , vol.86 , pp. 307-340
  • 5
    • 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
  • 7
    • 67651027819 scopus 로고    scopus 로고
    • Continuous wavelets on manifolds
    • Continuous wavelets on manifolds, Math. Z. 262 (2009), 895-927.
    • (2009) Math. Z. , vol.262 , pp. 895-927
  • 8
    • 70350031743 scopus 로고    scopus 로고
    • Nearly tight frames and space-frequency analysis on compact manifolds
    • Nearly tight frames and space-frequency analysis on compact manifolds, Math. Z. 263 (2009), 235-264.
    • (2009) Math. Z. , vol.263 , pp. 235-264
  • 10
    • 30844456696 scopus 로고
    • Describing functions: Atomic decompsitions versus frames
    • K. GRÖCHENIG, Describing functions: atomic decompsitions versus frames, Monatsh. Math. 112 (1991), 1-42.
    • (1991) Monatsh. Math. , vol.112 , pp. 1-42
    • Gröchenig, K.1
  • 11
    • 0001546323 scopus 로고    scopus 로고
    • Discrete Calderón-type reproducing formula
    • Y. HAN, Discrete Calderón-type reproducing formula, Acta Math. Sinica 16 (2000), 277-294.
    • (2000) Acta Math. Sinica , vol.16 , pp. 277-294
    • Han, Y.1
  • 12
    • 0001971392 scopus 로고
    • Littlewood-paley theory on spaces of homogeneous type and the ' classical function spaces
    • American Mathematical Society, Providence, RI
    • Y.S. HAN and E.T. SAWYER, Littlewood-Paley Theory on Spaces of Homogeneous Type and the ' Classical Function Spaces, Memoirs Amer. Math. Soc, vol.530, American Mathematical Society, Providence, RI, 1994.
    • (1994) Memoirs Amer. Math. Soc , vol.530
    • Han, Y.S.1    Sawyer, E.T.2
  • 13
    • 84893510582 scopus 로고    scopus 로고
    • New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals
    • Y. HAN and D. YANG, New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals, Dissertationes Mathematicae 403 (2002).
    • (2002) Dissertationes Mathematicae , vol.403
    • Han, Y.1    Yang, D.2
  • 14
    • 33646945324 scopus 로고
    • The spectralfunction of an elliptic operator
    • L.HÖRMANDER, The spectralfunction of an elliptic operator, Acta Math. 121 (1968), 193-218.
    • (1968) Acta Math. , vol.121 , pp. 193-218
    • HÖRMANDER, L.1
  • 15
    • 0004198869 scopus 로고
    • Cambridge University Press, Cambridge
    • Y. MEYER, Wavelets and Operators, Cambridge University Press, Cambridge, 1992,
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 18
    • 33746265509 scopus 로고    scopus 로고
    • Decomposition of besov and triebel-lizorkin spaces on the sphere
    • Decomposition of Besov and Triebel-Lizorkin spaces on the sphere, J. Func. Anal. 238 (2006), 530-564.
    • (2006) J. Func. Anal. , vol.238 , pp. 530-564
  • 19
    • 0013550801 scopus 로고
    • Pseudo differential operators in Hardy-Triebel spaces
    • L. PÄIVARINTA, Pseudo differential operators in Hardy-Triebel spaces, Z. Analysis Anwendungen 2 (1983), 235-242.
    • (1983) Z. Analysis Anwendungen , vol.2 , pp. 235-242
    • Päivarinta, L.1
  • 21
    • 84972554982 scopus 로고
    • On the boundedness of functions of (pseudo-) differential operators on compact manifolds
    • A. SEEGER and C.D. SOGGE, On the boundedness of functions of (pseudo-) differential operators on compact manifolds, Duke Math. J. 59 (1989), 709-736.
    • (1989) Duke Math. J. , vol.59 , pp. 709-736
    • Seeger, A.1    Sogge, C.D.2
  • 22
    • 0004058897 scopus 로고
    • Birkhäuser Verlag, Basel, Boston, Stuttgart
    • H. TRIEBEL, Theory of Function Spaces, Birkhäuser Verlag, Basel, Boston, Stuttgart, 1983.
    • (1983) Theory of Function Spaces
    • Triebel, H.1
  • 23
    • 0000384573 scopus 로고
    • Spaces of besov-hardy-sobolev type on complete Riemannian manifolds
    • Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds, Ark. Mat. 24 (1986), 299-337.
    • (1986) Ark. Mat. , vol.24 , pp. 299-337


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.