메뉴 건너뛰기




Volumn 45, Issue 4, 2002, Pages 483-498

Diffraction of weighted lattice subsets

Author keywords

Diffraction; Dirac combs; Homometric sets; Lattice subsets

Indexed keywords


EID: 0036898236     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-2002-050-2     Document Type: Article
Times cited : (35)

References (27)
  • 1
    • 0003311468 scopus 로고
    • Fourier analysis of unbounded measures on locally compact abelian groups
    • Providence, Rhode Island
    • L. Argabright and J. Gil de Lamadrid, Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups. Mem. Amer. Math. Soc. 145, Providence, Rhode Island, 1974.
    • (1974) Mem. Amer. Math. Soc. , vol.145
    • Argabright, L.1    Gil de Lamadrid, J.2
  • 2
    • 0034339817 scopus 로고    scopus 로고
    • Diffraction of random tilings: Some rigorous results
    • math-ph/9904005
    • M. Baake and M. Höffe, Diffraction of random tilings: some rigorous results. J. Statist. Phys. 99(2000), 219-261; math-ph/9904005.
    • (2000) J. Statist. Phys. , vol.99 , pp. 219-261
    • Baake, M.1    Höffe, M.2
  • 3
    • 0012014367 scopus 로고    scopus 로고
    • Self-similar measures for quasicrystals
    • Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), Amer. Math. Soc., Providence, Rhode Isiand, math.MG/0008063
    • M. Baake and R.V. Moody, Self-similar measures for quasicrystals. In: Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), CRM Monograph Series 13, Amer. Math. Soc., Providence, Rhode Isiand, (2000), 1-42; math.MG/0008063.
    • (2000) CRM Monograph Series , vol.13 , pp. 1-42
    • Baake, M.1    Moody, R.V.2
  • 5
    • 0011973787 scopus 로고    scopus 로고
    • Diffraction from visible lattice points and k-th power free integers
    • math. MG/9906132
    • M. Baake, R.V. Moody and P.A.B. Pleasants, Diffraction from visible lattice points and k-th power free integers. Discrete Math. 221 (2000), 3-42; math. MG/9906132.
    • (2000) Discrete Math. , vol.221 , pp. 3-42
    • Baake, M.1    Moody, R.V.2    Pleasants, P.A.B.3
  • 6
    • 0032503849 scopus 로고    scopus 로고
    • Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces
    • math-ph/9901008
    • M. Baake, R.V. Moody and M. Schlottmann, Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces. J. Phys. A 31 (1998), 5755-5765; math-ph/9901008.
    • (1998) J. Phys. A , vol.31 , pp. 5755-5765
    • Baake, M.1    Moody, R.V.2    Schlottmann, M.3
  • 11
    • 3843051850 scopus 로고    scopus 로고
    • Published as: Commutative Harmonic Analysis II (eds. V.P. Havin and N.K. Nikolski), EMS , Springer, Berlin
    • V.P. Gurarii, Group Methods in Commutative Harmonic Analysis. Published as: Commutative Harmonic Analysis II (eds. V.P. Havin and N.K. Nikolski), EMS 25, Springer, Berlin, 1998.
    • (1998) Group Methods in Commutative Harmonic Analysis , vol.25
    • Gurarii, V.P.1
  • 12
    • 0342526690 scopus 로고    scopus 로고
    • Diffraction of the dart-rhombus random tiling
    • math-ph/9911014
    • M. Höffe, Diffraction of the dart-rhombus random tiling. Math. Sci. Engrg. (A) 294-296(2000), 373-376; math-ph/9911014.
    • (2000) Math. Sci. Engrg. (A) , vol.294-296 , pp. 373-376
    • Höffe, M.1
  • 13
    • 0033809458 scopus 로고    scopus 로고
    • Surprises in diffuse scattering
    • math-ph/0004022
    • M. Höffe and M. Baake, Surprises in diffuse scattering. Z. Krist. 215(2000), 441-444; math-ph/0004022.
    • (2000) Z. Krist. , vol.215 , pp. 441-444
    • Höffe, M.1    Baake, M.2
  • 14
    • 21844524319 scopus 로고
    • On diffraction by aperiodic structures
    • A. Hof, On diffraction by aperiodic structures. Commun. Math. Phys. 169(1995), 25-43.
    • (1995) Commun. Math. Phys. , vol.169 , pp. 25-43
    • Hof, A.1
  • 15
    • 0011973790 scopus 로고
    • Diffraction of aperiodic structures at high temperatures
    • _, Diffraction of aperiodic structures at high temperatures. J. Phys. A 28(1995), 57-62.
    • (1995) J. Phys. A , vol.28 , pp. 57-62
  • 16
    • 0000547506 scopus 로고
    • On the number of points of a given lattice in a random hypersphere
    • D.G. Kendall and R.A. Rankin, On the number of points of a given lattice in a random hypersphere. Quart. J. Math. Oxford Ser. (2) 4(1953), 178-89.
    • (1953) Quart. J. Math. Oxford Ser. , vol.4 , Issue.2 , pp. 178-189
    • Kendall, D.G.1    Rankin, R.A.2
  • 17
    • 0142021649 scopus 로고    scopus 로고
    • Mathematical quasicrystals and the problem of diffraction
    • Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), Amer. Math. Soc., Providence, Rhode Island
    • J.C. Lagarias, Mathematical quasicrystals and the problem of diffraction. In: Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), CRM Monograph Series 13, Amer. Math. Soc., Providence, Rhode Island, 2000, 61-93.
    • (2000) CRM Monograph Series , vol.13 , pp. 61-93
    • Lagarias, J.C.1
  • 18
    • 0004291086 scopus 로고
    • Real and functional analysis. 3rd edition
    • Springer, New York
    • S. Lang, Real and Functional Analysis. 3rd edition, Graduate Texts in Math. 142, Springer, New York, 1993.
    • (1993) Graduate Texts in Math. , vol.142
    • Lang, S.1
  • 19
    • 0035580706 scopus 로고    scopus 로고
    • Lattice substitution systems and model sets
    • math. MG/0002019
    • J.-Y. Lee and R.V. Moody, Lattice substitution systems and model sets. Discrete Comput. Geom. 25(2001), 173-201; math. MG/0002019.
    • (2001) Discrete Comput. Geom. , vol.25 , pp. 173-201
    • Lee, J.-Y.1    Moody, R.V.2
  • 20
    • 0036435987 scopus 로고    scopus 로고
    • Pure point dynamical and diffraction spectrum
    • Preprint, mp_arc/02-39, Consequences of pure point diffraction spectra for multiset substitution systems. Preprint
    • J.-Y. Lee, R.V. Moody and B. Solomyak, Pure point dynamical and diffraction spectrum. Preprint, mp_arc/02-39, to appear in Ann. Inst. H. Poincaré; Consequences of pure point diffraction spectra for multiset substitution systems. Preprint, 2002.
    • (2002) Ann. Inst. H. Poincaré
    • Lee, J.-Y.1    Moody, R.V.2    Solomyak, B.3
  • 21
    • 0000406612 scopus 로고
    • Ambiguities in the X-ray analysis of crystal structures
    • A.L. Patterson, Ambiguities in the X-ray analysis of crystal structures. Phys. Rev. 65(1944), 195-201.
    • (1944) Phys. Rev. , vol.65 , pp. 195-201
    • Patterson, A.L.1
  • 26
    • 0000498157 scopus 로고    scopus 로고
    • Generalized model sets and dynamical systems
    • Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), Amer. Math. Soc., Providence, Rhode Island
    • M. Schlottmann, Generalized model sets and dynamical systems. In: Directions in Mathematical Quasicrystals (eds. M. Baake and R.V. Moody), CRM Monograph Series 13, Amer. Math. Soc., Providence, Rhode Island, (2000), 143-159.
    • (2000) CRM Monograph Series , vol.13 , pp. 143-159
    • Schlottmann, M.1
  • 27
    • 0000708166 scopus 로고
    • Diffuse X-ray scattering and models of disorder
    • T.R. Welherry, Diffuse X-ray scattering and models of disorder. Rep. Progr. Phys. 48(1985), 1543-1593.
    • (1985) Rep. Progr. Phys. , vol.48 , pp. 1543-1593
    • Welherry, T.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.