메뉴 건너뛰기




Volumn 12, Issue 5, 2006, Pages 543-579

Continuous wavelets and frames on stratified lie groups i

Author keywords

Carnot (graded) groups; Frames; Schwartz functions; Spectral theory; Stratified groups; Wavelets

Indexed keywords


EID: 33750529751     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6002-4     Document Type: Article
Times cited : (38)

References (31)
  • 1
    • 84966241442 scopus 로고
    • p hounds for spectral multipliers on nilpotent groups
    • p hounds for spectral multipliers on nilpotent groups. Trans. Amer. Math. Soc. 328, 73-81.
    • (1991) Trans. Amer. Math. Soc. , vol.328 , pp. 73-81
    • Christ, M.1
  • 3
    • 0003232322 scopus 로고
    • Analyse harmonique noncommutative sur certains espaces homogenes
    • Springer-Verlag, Berlin and New York
    • Coifman, R. and Weiss, G. (1971). Analyse harmonique noncommutative sur certains espaces homogenes, Lecture Notes in Math. 242, Springer-Verlag, Berlin and New York.
    • (1971) Lecture Notes in Math. , vol.242
    • Coifman, R.1    Weiss, G.2
  • 4
    • 84966261604 scopus 로고
    • Extensions of Hardy space and their use in analysis
    • N. S.
    • Coifman, R. and Weiss, G. (1989). Extensions of Hardy space and their use in analysis. Bull. Amer. Math. Soc. (N. S.) 83, 569-645.
    • (1989) Bull. Amer. Math. Soc. , vol.83 , pp. 569-645
    • Coifman, R.1    Weiss, G.2
  • 8
    • 0001720260 scopus 로고
    • A boundedness criterion for generalized Calderón-Zygmund operators
    • David, G. and Journé, J. L. (1984). A boundedness criterion for generalized Calderón-Zygmund operators, Ann. Math. 120, 371-397.
    • (1984) Ann. Math. , vol.120 , pp. 371-397
    • David, G.1    Journé, J.L.2
  • 10
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, I
    • Feichtinger, H. G. and Gröchenig, K. (1989). Banach spaces related to integrable group representations and their atomic decompositions, I, J. Funct. Anal. 86, 307-340.
    • (1989) J. Funct. Anal. , vol.86 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 11
    • 0001736922 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions. II
    • Feichtinger, H.G. and Gröchenig, K. (1989). Banach spaces related to integrable group representations and their atomic decompositions. II, Mh. Math. 108, 129-148.
    • (1989) Mh. Math. , vol.108 , pp. 129-148
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 14
    • 23944464346 scopus 로고    scopus 로고
    • Abstract harmonic analysis of continuous wavelet transforms
    • Springer Verlag
    • Führ, H. (2005). Abstract harmonic analysis of continuous wavelet transforms, Lecture Notes in Math. 1863, Springer Verlag.
    • (2005) Lecture Notes in Math. , vol.1863
    • Führ, H.1
  • 15
    • 0002630732 scopus 로고
    • Fourier analysis on the Heisenberg group, I. Schwanz space
    • Geller, D. (1980). Fourier analysis on the Heisenberg group, I. Schwanz space, J. Funct. Anal. 36, 205-254.
    • (1980) J. Funct. Anal. , vol.36 , pp. 205-254
    • Geller, D.1
  • 16
    • 84952411100 scopus 로고
    • Liouville's theorem for homogeneous groups
    • Geller, D. (1983). Liouville's theorem for homogeneous groups. Comm. Partial Differential Equations 8, 1665-1677.
    • (1983) Comm. Partial Differential Equations , vol.8 , pp. 1665-1677
    • Geller, D.1
  • 17
    • 0039253393 scopus 로고    scopus 로고
    • Bilinear operators on homogeneous groups
    • Grafakos, L. and Li, X. (2000). Bilinear operators on homogeneous groups, J. Operator Theory 44, 63-90.
    • (2000) J. Operator Theory , vol.44 , pp. 63-90
    • Grafakos, L.1    Li, X.2
  • 19
    • 30844456696 scopus 로고
    • Describing functions: Atomic decompositions versus frames
    • Gröchenig, K. (1991). Describing functions: Atomic decompositions versus frames. Mh. Math. 112, 1-11.
    • (1991) Mh. Math. , vol.112 , pp. 1-11
    • Gröchenig, K.1
  • 20
    • 0001546323 scopus 로고    scopus 로고
    • Discrete Calderón-type reproducing formula
    • Han, Y. S. (2000). Discrete Calderón-type reproducing formula. Acta Math. Sin. (Engl. Sen) 16, 277-294.
    • (2000) Acta Math. Sin. (Engl. Sen) , vol.16 , pp. 277-294
    • Han, Y.S.1
  • 21
    • 15244346736 scopus 로고
    • Hypoelliptic second-order differential equations
    • Hörmander, L. (1967). Hypoelliptic second-order differential equations, Acta Math. 119, 147-171.
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 22
    • 0000786312 scopus 로고
    • A functional calculus for Rockland operators on nilpotent Lie groups
    • Hulanicki, A. (1984). A functional calculus for Rockland operators on nilpotent Lie groups, Stud. Math. 78, 253-266.
    • (1984) Stud. Math. , vol.78 , pp. 253-266
    • Hulanicki, A.1
  • 23
    • 0001178379 scopus 로고
    • Estimates for the heat kernel for a sum of squares of vector fields
    • Jerison, D. and Sanchez-Calle, A. (1986). Estimates for the heat kernel for a sum of squares of vector fields, Indiana Univ. Math. J. 35, 835-854.
    • (1986) Indiana Univ. Math. J. , vol.35 , pp. 835-854
    • Jerison, D.1    Sanchez-Calle, A.2
  • 25
    • 0013512144 scopus 로고
    • Base d'ondelettes sur les groupes stratifiés
    • Lemarié, P. G. (1989). Base d'ondelettes sur les groupes stratifiés. Bull. Soc. Math. France 117, 211-232.
    • (1989) Bull. Soc. Math. France , vol.117 , pp. 211-232
    • Lemarié, P.G.1
  • 26
    • 16344377668 scopus 로고
    • Wavelets, spline interpolation and Lie groups
    • Springer, Tokyo
    • Lemarié, P. G. (1991). Wavelets, spline interpolation and Lie groups, Harmonic Analysis (Sendai, 1990), Springer, Tokyo, 154-164.
    • (1991) Harmonic Analysis (Sendai, 1990) , pp. 154-164
    • Lemarié, P.G.1
  • 27
    • 0039176205 scopus 로고    scopus 로고
    • Admissible wavelets associated with the Heisenberg group
    • Liu, H. and Peng, L. (1997). Admissible wavelets associated with the Heisenberg group. Pacific J. Math. 180, 101-123.
    • (1997) Pacific J. Math. , vol.180 , pp. 101-123
    • Liu, H.1    Peng, L.2
  • 28
    • 11944249365 scopus 로고    scopus 로고
    • Wavelet frames on groups and hypergroups via discretization of Calderón formulas
    • Maggioni, M. (2004). Wavelet frames on groups and hypergroups via discretization of Calderón formulas, Monatshefte für Mathematik, 143, 299-331.
    • (2004) Monatshefte für Mathematik , vol.143 , pp. 299-331
    • Maggioni, M.1
  • 30
    • 0004136765 scopus 로고
    • Princeton Mathematical Series 45, Princeton University Press
    • Stein, E. M. (1993). Harmonic Analysis, Princeton Mathematical Series 45, Princeton University Press.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 31
    • 0001420138 scopus 로고
    • Analysis on Lie groups
    • Varopoulos, N. (1988). Analysis on Lie groups, J. Funct. Anal. 76, 346-410.
    • (1988) J. Funct. Anal. , vol.76 , pp. 346-410
    • Varopoulos, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.