메뉴 건너뛰기




Volumn 193, Issue 2, 2002, Pages 409-420

On spectral Cantor measures

Author keywords

Cantor measure; IFS; Ruelle operator; Spectral measure

Indexed keywords


EID: 0037143985     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2001.3941     Document Type: Article
Times cited : (248)

References (21)
  • 1
    • 0003649545 scopus 로고
    • "Fractal Geometry: Mathematical Foundations and Applications"
    • John Wiley & Sons, New York
    • K. Falconer, "Fractal Geometry: Mathematical Foundations and Applications," John Wiley & Sons, New York, 1990.
    • (1990)
    • Falconer, K.1
  • 2
    • 0000758425 scopus 로고
    • Commuting self-adjoint partial differential operators and a group theoretic problem
    • B. Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J. Funct. Anal. 16 (1974), 101-121.
    • (1974) J. Funct. Anal , vol.16 , pp. 101-121
    • Fuglede, B.1
  • 3
    • 0033072695 scopus 로고    scopus 로고
    • Tiling the integers with translates of one finite set
    • E. Coven and A. Meyerowitz, Tiling the integers with translates of one finite set, J. Algebra 212 (1999), 161-174.
    • (1999) J. Algebra , vol.212 , pp. 161-174
    • Coven, E.1    Meyerowitz, A.2
  • 4
    • 0010996422 scopus 로고    scopus 로고
    • A characterization of finite sets which tile the integers
    • preprint
    • A. Granville, I. Łaba, and Y. Wang, A characterization of finite sets which tile the integers, preprint, 2001.
    • (2001)
    • Granville, A.1    Łaba, I.2    Wang, Y.3
  • 6
    • 0039468167 scopus 로고    scopus 로고
    • Weyl's formula in a fractal setting
    • preprint
    • A. Iosevich, M. Laporta, and S. Pedersen, Weyl's formula in a fractal setting, preprint, 2001.
    • (2001)
    • Iosevich, A.1    Laporta, M.2    Pedersen, S.3
  • 7
    • 1842729485 scopus 로고    scopus 로고
    • Spectral and tiling properties of the unit cube
    • A. Iosevich and S. Pedersen, Spectral and tiling properties of the unit cube, Internat. Math. Res. Notices 16 (1998), 819-828.
    • (1998) Internat. Math. Res. Notices , vol.16 , pp. 819-828
    • Iosevich, A.1    Pedersen, S.2
  • 8
    • 0003132998 scopus 로고    scopus 로고
    • Harmonic analysis oof fractal measures
    • P. E. T. Jorgensen and S. Pedersen, Harmonic analysis oof fractal measures, Constr. Approx 12 (1996), 1-30.
    • (1996) Constr. Approx , vol.12 , pp. 1-30
    • Jorgensen, P.E.T.1    Pedersen, S.2
  • 11
    • 0034259550 scopus 로고    scopus 로고
    • Packing, tiling, orthogonality and completeness
    • M. Kolountzakis, Packing, tiling, orthogonality and completeness, Bull. London Math. Soc. 32 (2000), 589-599.
    • (2000) Bull. London Math. Soc , vol.32 , pp. 589-599
    • Kolountzakis, M.1
  • 12
    • 23044531025 scopus 로고    scopus 로고
    • Fuglede's conjecture for a union of two intervals
    • I. Łaba and Wangaba, Fuglede's conjecture for a union of two intervals, Proc. Amer. Math. Soc. 129 (2001), 2965-2972.
    • (2001) Proc. Amer. Math. Soc , vol.129 , pp. 2965-2972
    • Łaba, I.1    Wangaba, A.2
  • 13
    • 4243378858 scopus 로고    scopus 로고
    • The spectral set conjecture and multiplicative properties of roots of polynomials
    • preprint
    • I. Łaba and Wangaba, The spectral set conjecture and multiplicative properties of roots of polynomials, preprint, 2000.
    • (2000)
    • Łaba, I.1    Wangaba, A.2
  • 14
    • 0002355528 scopus 로고    scopus 로고
    • Orthonormal bases of exponentials for the n-cube
    • J. C. Lagarias, J. A. Reed, and Y. Wang, Orthonormal bases of exponentials for the n-cube, Duke Math. J. 103 (2000), 25-37.
    • (2000) Duke Math. J , vol.103 , pp. 25-37
    • Lagarias, J.C.1    Reed, J.A.2    Wang, Y.3
  • 15
    • 0040799572 scopus 로고    scopus 로고
    • Tiling the line by the translates of one tile
    • J. C. Lagarias and Y. Wang, Tiling the line by the translates of one tile, Inven. Math. 124 (1996), 341-365.
    • (1996) Inven. Math , vol.124 , pp. 341-365
    • Lagarias, J.C.1    Wang, Y.2
  • 16
    • 0031115862 scopus 로고    scopus 로고
    • Spectral sets and factorizations of finite abelian groups
    • J. C. Lagarias and Y. Wang, Spectral sets and factorizations of finite abelian groups, J. Funct. Anal. 145 (1997), 73-98.
    • (1997) J. Funct. Anal , vol.145 , pp. 73-98
    • Lagarias, J.C.1    Wang, Y.2
  • 17
    • 23044517675 scopus 로고    scopus 로고
    • Orthogonality criteria for compactly supported refinable functions and refinable function vectors
    • J. C. Lagarias and Y. Wang, Orthogonality criteria for compactly supported refinable functions and refinable function vectors, J. Fourier Anal. Appl. 6 (2000), 173-190.
    • (2000) J. Fourier Anal. Appl , vol.6 , pp. 173-190
    • Lagarias, J.C.1    Wang, Y.2
  • 18
    • 0002873456 scopus 로고
    • Self-similarity in harmonic analysis
    • R. Strichartz, Self-similarity in harmonic analysis, J. Fourier Anal. Appl. 1 (1994), 1-37.
    • (1994) J. Fourier Anal. Appl , vol.1 , pp. 1-37
    • Strichartz, R.1
  • 20
    • 0000302006 scopus 로고    scopus 로고
    • Mock Fourier series and transforms associated with certain cantor measures
    • R. Strichartz, Mock Fourier series and transforms associated with certain cantor measures, J. D'Analyse Math. 81 (2000), 209-238.
    • (2000) J. D'Analyse Math , vol.81 , pp. 209-238
    • Strichartz, R.1
  • 21
    • 0039299817 scopus 로고    scopus 로고
    • Sampling theory for functions with fractal spectrum
    • R. Strichartz and N. Tillman, Sampling theory for functions with fractal spectrum, J. Exp. Math. 10 (2001), 619-638.
    • (2001) J. Exp. Math , vol.10 , pp. 619-638
    • Strichartz, R.1    Tillman, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.