Regularity of distance measures and sets

Mathematische Nachrichten

Volumn 204, Issue , 1999, Pages 157-162

  Mattila, Pertti ^a   Sjölin, Per ^b  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040036443     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19992040110     Document Type: Article

References (11)

1. BOURGAIN, J.: Hausdorff Dimension and Distance Sets, Israel J. Math. 87 (1994), 193-201
2. CARLESON, L.: Selected Problems on Exceptional Sets, Van Nostrand, 1967
3. FALCONER, K. J.: Rings of Fractional Dimension, Mathematica 31 (1984), 25-27
4. FALCONER, K. J.: On the Hausdorff Dimension of Distance Sets, Mathematica 32 (1985), 206-212
5. MATTILA, P.: On the Hausdorff Dimension and Capacities of Intersections, Mathematica 32 (1985), 213-217
6. MATTILA, P.: Spherical Averages of Fourier Transforms of Measures with Finite Energy; Dimension of Intersections and Distance Sets, Mathematica 34 (1987), 207-228
7. MATTILA, P.: Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press, 1995
8. SJÖLIN, P.: Estimates of Spherical Averages of Fourier Transforms and Dimensions of Sets, Mathematica 40 (1993), 322-330
9. SJÖLIN, P.: Estimates of Averages of Fourier Transforms of Measures with Finite Energy, Ann. Acad. Sci. Fenn. Math. 22 (1997), 227-236
10. STEIN, E. M., and WEISS, G.: Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971
11. WATSON, G. N.: Theory of Bessel Functions, Cambridge University Press, 1944