메뉴 건너뛰기




Volumn 215, Issue 2, 2004, Pages 290-340

Calculus on the Sierpinski gasket I: Polynomials, exponentials and power series

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4344701433     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2003.11.011     Document Type: Article
Times cited : (29)

References (17)
  • 1
    • 0002163683 scopus 로고    scopus 로고
    • Diffusion on Fractals
    • Berlin: Springer
    • Barlow M. Diffusion on Fractals Lecture Notes in Mathematics Vol 1690 1998 Springer Berlin
    • (1998) Lecture Notes in Mathematics , vol.1690
    • Barlow, M.1
  • 2
    • 0001511211 scopus 로고    scopus 로고
    • What is not in the domain of the Laplacian on Sierpinski gasket type fractals
    • Ben-Bassat O. Strichartz R. Teplyaev A. What is not in the domain of the Laplacian on Sierpinski gasket type fractals J. Funct. Anal. 166 1999 197-217
    • (1999) J. Funct. Anal. , vol.166 , pp. 197-217
    • Ben-Bassat, O.1    Strichartz, R.2    Teplyaev, A.3
  • 5
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpinski gasket
    • Fukushima M. Shima T. On a spectral analysis for the Sierpinski gasket Potential Anal. 1 1992 1-35
    • (1992) Potential Anal. , vol.1 , pp. 1-35
    • Fukushima, M.1    Shima, T.2
  • 6
    • 77951516336 scopus 로고
    • A harmonic calculus on the Sierpinski spaces
    • Kigami J. A harmonic calculus on the Sierpinski spaces Japan J. Appl. Math. 8 1989 259-290
    • (1989) Japan J. Appl. Math. , vol.8 , pp. 259-290
    • Kigami, J.1
  • 7
    • 0004075170 scopus 로고    scopus 로고
    • New York: Cambridge University Press
    • Kigami J. Analysis on Fractals 2001 Cambridge University Press New York
    • (2001) Analysis on Fractals
    • Kigami, J.1
  • 9
    • 0036795778 scopus 로고    scopus 로고
    • Level sets of harmonic functions on the Sierpinski gasket
    • Öberg A. Strichartz R. Yingst A. Level sets of harmonic functions on the Sierpinski gasket Ark. Mat. 40 2002 335-362
    • (2002) Ark. Mat. , vol.40 , pp. 335-362
    • Öberg, A.1    Strichartz, R.2    Yingst, A.3
  • 10
    • 0032393182 scopus 로고    scopus 로고
    • Fractals in the large
    • Strichartz R. Fractals in the large Canad. J. Math. 50 1998 638-657
    • (1998) Canad. J. Math. , vol.50 , pp. 638-657
    • Strichartz, R.1
  • 12
    • 0002586468 scopus 로고    scopus 로고
    • Taylor approximations on Sierpinski gasket-type fractals
    • Strichartz R. Taylor approximations on Sierpinski gasket-type fractals J. Funct. Anal. 174 2000 76-127
    • (2000) J. Funct. Anal. , vol.174 , pp. 76-127
    • Strichartz, R.1
  • 13
    • 0242350504 scopus 로고    scopus 로고
    • Fractafolds based on the Sierpinski gasket and their spectra
    • Strichartz R. Fractafolds based on the Sierpinski gasket and their spectra Trans. Amer. Math. Soc. 355 2003 331-360
    • (2003) Trans. Amer. Math. Soc. , vol.355 , pp. 331-360
    • Strichartz, R.1
  • 14
    • 0037455846 scopus 로고    scopus 로고
    • Function spaces on fractals
    • Strichartz R. Function spaces on fractals J. Funct. Anal. 198 2003 43-83
    • (2003) J. Funct. Anal. , vol.198 , pp. 43-83
    • Strichartz, R.1
  • 16
    • 0000604124 scopus 로고    scopus 로고
    • Spectral analysis on infinite Sierpinski gaskets
    • Teplyaev A. Spectral analysis on infinite Sierpinski gaskets J. Funct. Anal. 159 1999 537-567
    • (1999) J. Funct. Anal. , vol.159 , pp. 537-567
    • Teplyaev, A.1
  • 17
    • 0000625806 scopus 로고    scopus 로고
    • Gradients on fractals
    • Teplyaev A. Gradients on fractals J. Funct. Anal. 174 2000 128-154
    • (2000) J. Funct. Anal. , vol.174 , pp. 128-154
    • Teplyaev, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.