메뉴 건너뛰기




Volumn 262, Issue 4, 2009, Pages 895-927

Continuous wavelets on compact manifolds

Author keywords

Continuous Wavelets; Frames; H lder Spaces; Manifolds; Pseudodifferential Operators; Schwartz Functions; Spectral Theory; Sphere; Time Frequency Analysis; Torus; Wavelets

Indexed keywords


EID: 67651027819     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-008-0405-7     Document Type: Article
Times cited : (95)

References (44)
  • 1
    • 0032388665 scopus 로고    scopus 로고
    • Wavelets on the n-sphere and related manifolds
    • P.-J. Antoine P. Vandergheynst 1998 Wavelets on the n-sphere and related manifolds J. Math. Phys. 39 3987 4008
    • (1998) J. Math. Phys. , vol.39 , pp. 3987-4008
    • Antoine, P.-J.1    Vandergheynst, P.2
  • 4
    • 51249192444 scopus 로고
    • Zeta functions and their asymptotics expansions for compact symmetric spaces of rank one
    • S.R. Cahn A.J. Wolf 1976 Zeta functions and their asymptotics expansions for compact symmetric spaces of rank one Comment. Math. Helv. 51 1 21
    • (1976) Comment. Math. Helv. , vol.51 , pp. 1-21
    • Cahn, S.R.1    Wolf, A.J.2
  • 5
    • 0002232547 scopus 로고
    • Harmonic analysis and propagators on homogeneous spaces
    • R. Camporesi 1990 Harmonic analysis and propagators on homogeneous spaces Phys. Rep. 196 1 134
    • (1990) Phys. Rep. , vol.196 , pp. 1-134
    • Camporesi, R.1
  • 8
    • 84860501745 scopus 로고
    • Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds
    • Taormina
    • Dahlke, S.: Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds, in Wavelets: Theory, Algorithms and Applications, Taormina, 33-52 (1993)
    • (1993) Wavelets: Theory, Algorithms and Applications , pp. 33-52
    • Dahlke, S.1
  • 9
    • 0033233501 scopus 로고    scopus 로고
    • Wavelets on manifolds I: Construction and domain decomposition
    • W. Dahmen R. Schneider 1999 Wavelets on manifolds I: construction and domain decomposition Siam J. Math. Anal. 31 184 230
    • (1999) Siam J. Math. Anal. , vol.31 , pp. 184-230
    • Dahmen, W.1    Schneider, R.2
  • 12
    • 0002319407 scopus 로고
    • A discrete transform and decompositions of distribution spaces
    • M. Frazier B. Jawerth 1990 A discrete transform and decompositions of distribution spaces J. Funct. Anal. 93 34 170
    • (1990) J. Funct. Anal. , vol.93 , pp. 34-170
    • Frazier, M.1    Jawerth, B.2
  • 13
    • 84972502050 scopus 로고
    • The Laplacian and the Kohn Laplacian for the sphere
    • D. Geller 1980 The Laplacian and the Kohn Laplacian for the sphere J. Differ. Geom. 15 417 455
    • (1980) J. Differ. Geom. , vol.15 , pp. 417-455
    • Geller, D.1
  • 16
    • 33750529751 scopus 로고    scopus 로고
    • Continuous wavelets and frames on stratified lie groups i
    • DOI 10.1007/s00041-006-6002-4
    • D. Geller A. Mayeli 2006 Continuous wavelets and frames on stratified Lie groups I J. Fourier Anal. Appl. 12 543 579 (Pubitemid 44663503)
    • (2006) Journal of Fourier Analysis and Applications , vol.12 , Issue.5 , pp. 543-579
    • Geller, D.1    Mayeli, A.2
  • 17
    • 70350012266 scopus 로고    scopus 로고
    • Nearly tight frames and space-frequency analysis on compact manifolds
    • to appear
    • Geller, D., Mayeli, A.: Nearly Tight Frames and Space-Frequency Analysis on Compact Manifolds. Math. Z. (2008) (to appear)
    • (2008) Math. Z.
    • Geller, D.1    Mayeli, A.2
  • 19
    • 84972495846 scopus 로고
    • The spectral geometry of a Riemannian manifold
    • P. Gilkey 1975 The spectral geometry of a Riemannian manifold J. Differ. Geom. 10 601 618
    • (1975) J. Differ. Geom. , vol.10 , pp. 601-618
    • Gilkey, P.1
  • 22
    • 0009920815 scopus 로고
    • Calderón-type reproducing formula and the Tb theorem
    • S.Y. Han 1994 Calderón-type reproducing formula and the Tb theorem Rev. Mat. Ibero. 10 51 91
    • (1994) Rev. Mat. Ibero. , vol.10 , pp. 51-91
    • Han, S.Y.1
  • 23
    • 0001546323 scopus 로고    scopus 로고
    • Discrete Calderón-type reproducing formula
    • Y. Han 2006 Discrete Calderón-type reproducing formula Acta Math. Sin. 16 277 294
    • (2006) Acta Math. Sin. , vol.16 , pp. 277-294
    • Han, Y.1
  • 24
    • 0009138788 scopus 로고    scopus 로고
    • Régularité locale de la fonction 'non- différentiable' de Riemann
    • Les ondelettes en 1989 Springer, Berlin
    • Holschneider, M., Tchamitchian, Ph.: Régularité locale de la fonction 'non-différentiable' de Riemann. In: Les ondelettes en 1989, Lecture Notes in Mathematics, no. 1438, pp. 102-124. Springer, Berlin
    • Lecture Notes in Mathematics , Issue.1438 , pp. 102-124
    • Holschneider, M.1    Tchamitchian, Ph.2
  • 25
    • 33646945324 scopus 로고
    • The spectral function of an elliptic operator
    • L. Hörmander 1968 The spectral function of an elliptic operator Acta Math. 121 193 218
    • (1968) Acta Math. , vol.121 , pp. 193-218
    • Hörmander, L.1
  • 26
    • 0000989705 scopus 로고
    • Off diagonal short term asymptotics for fundamental solutions of diffusion equations
    • Y. Kannai 1977 Off diagonal short term asymptotics for fundamental solutions of diffusion equations Comm. PDE 2 781 830
    • (1977) Comm. PDE , vol.2 , pp. 781-830
    • Kannai, Y.1
  • 29
    • 21644439336 scopus 로고    scopus 로고
    • Spectral analysis of normal and malignant tissue sections using a novel micro-optoelectricalmechanical system
    • Maggioni, M., Davis, L.G., Warner, J.F., Geshwind, B.F., Coppi, C.A., DeVerse, R.A., Coifman, R.R.: Spectral analysis of normal and malignant tissue sections using a novel micro-optoelectricalmechanical system. Mod. Pathol 17(Suppl 1), 358A
    • Mod. Pathol , vol.17 , Issue.1 SUPPL
    • Maggioni, M.1    Davis, L.G.2    Warner, J.F.3    Geshwind, B.F.4    Coppi, C.A.5    Deverse, R.A.6    Coifman, R.R.7
  • 32
    • 0000328519 scopus 로고
    • Some properties of the eignenfunctions of the Laplace-operator on Riemannian manifolds
    • S. Minakshisundaram A. Plegel 1949 Some properties of the eignenfunctions of the Laplace-operator on Riemannian manifolds Can. J. Math 1 242 256
    • (1949) Can. J. Math , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Plegel, A.2
  • 35
    • 33746265509 scopus 로고    scopus 로고
    • Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
    • DOI 10.1016/j.jfa.2006.02.011, PII S0022123606000681
    • J.F. Narcowich P. Petrushev J. Ward 2006 Decomposition of Besov and Triebel-Lizorkin spaces on the sphere J. Func. Anal. 238 530 564 (Pubitemid 44089124)
    • (2006) Journal of Functional Analysis , vol.238 , Issue.2 , pp. 530-564
    • Narcowich, F.1    Petrushev, P.2    Ward, J.3
  • 36
    • 0000684879 scopus 로고    scopus 로고
    • Heat invariants of Riemannian manifolds
    • I. Polterovich 2000 Heat invariants of Riemannian manifolds Israel J. Math 119 239 252
    • (2000) Israel J. Math , vol.119 , pp. 239-252
    • Polterovich, I.1
  • 37
    • 0036798388 scopus 로고    scopus 로고
    • Combinatorics of the heat trace on spheres
    • I. Polterovich 2002 Combinatorics of the heat trace on spheres Canad. J. Math 54 1086 1099
    • (2002) Canad. J. Math , vol.54 , pp. 1086-1099
    • Polterovich, I.1
  • 39
    • 84972554982 scopus 로고
    • On the boundedness of functions of (pseudo-) differential operators on compact manifolds
    • A. Seeger D.C. Sogge 1989 On the boundedness of functions of (pseudo-) differential operators on compact manifolds Duke Math. J. 59 709 736
    • (1989) Duke Math. J. , vol.59 , pp. 709-736
    • Seeger, A.1    Sogge, D.C.2
  • 42
    • 0011689121 scopus 로고
    • A functional calculus for elliptic pseudodifferential operators
    • R. Strichartz 1972 A functional calculus for elliptic pseudodifferential operators Amer. J. Math 94 711 722
    • (1972) Amer. J. Math , vol.94 , pp. 711-722
    • Strichartz, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.