-
3
-
-
0000420259
-
Besicovitch type maximal operators and applications to Fourier analysis
-
J. Bourgain, Besicovitch type maximal operators and applications to Fourier analysis, Geom. Funct. Anal. 1 (1991), 147-187.
-
(1991)
Geom. Funct. Anal
, vol.1
, pp. 147-187
-
-
Bourgain, J.1
-
4
-
-
51249164761
-
Hausdorff dimension and distance sets
-
J. Bourgain, Hausdorff dimension and distance sets, Israel J. Math. 87 (1994), 193-201.
-
(1994)
Israel J. Math
, vol.87
, pp. 193-201
-
-
Bourgain, J.1
-
5
-
-
2442428066
-
The number of different distances determined by a set ofpoints in the Euclideanplane
-
F. Chung, E. Szemerédi, and W. Trotter, The number of different distances determined by a set ofpoints in the Euclideanplane, Discrete Comput. Geom. 7 (1992), 1-11.
-
(1992)
Discrete Comput. Geom
, vol.7
, pp. 1-11
-
-
Chung, F.1
Szemerédi, E.2
Trotter, W.3
-
6
-
-
0001126766
-
On afamily of symmetric Bernoulli convolutions
-
P. Erdos, On afamily of symmetric Bernoulli convolutions, Amer. J. Math. 61 (1939), 974-976.
-
(1939)
Amer. J. Math
, vol.61
, pp. 974-976
-
-
Erdos, P.1
-
7
-
-
0001012461
-
On the smoothness properties of afamily of Bernoulli convolutions
-
P. Erdos, On the smoothness properties of afamily of Bernoulli convolutions, Amer. J. Math. 62 (1940), 180-186.
-
(1940)
Amer. J. Math
, vol.62
, pp. 180-186
-
-
Erdos, P.1
-
8
-
-
84971790123
-
Continuity properties of k-plane integrals and Besicovitch sets
-
K. J. Falconer, Continuity properties of k-plane integrals and Besicovitch sets, Math. Proc. Cambridge Philos. Soc. 87 (1980), 221-226.
-
(1980)
Math. Proc. Cambridge Philos. Soc
, vol.87
, pp. 221-226
-
-
Falconer, K.J.1
-
9
-
-
84971877531
-
Hausdorff dimension and the exceptional set of projections
-
K. J. Falconer, Hausdorff dimension and the exceptional set of projections, Mathematika 29 (1982), 109-115.
-
(1982)
Mathematika
, vol.29
, pp. 109-115
-
-
Falconer, K.J.1
-
10
-
-
84974112160
-
On the Hausdorff dimension of distance sets
-
K. J. Falconer, On the Hausdorff dimension of distance sets, Mathematika 32 (1985), 206-212.
-
(1985)
Mathematika
, vol.32
, pp. 206-212
-
-
Falconer, K.J.1
-
11
-
-
0003358442
-
The Geometry of Fractal Sets
-
Cambridge University Press, Cambridge
-
K. J. Falconer, The Geometry of Fractal Sets, Cambridge Tracts in Math. 85, Cambridge University Press, Cambridge, 1986.
-
(1986)
Cambridge Tracts in Math
, vol.85
-
-
Falconer, K.J.1
-
12
-
-
84976003309
-
The Hausdorff dimension of self-affine fractals
-
K. J. Falconer, The Hausdorff dimension of self-affine fractals, Math. Proc. Camb. Philos. Soc. 103 (1988), 339-350.
-
(1988)
Math. Proc. Camb. Philos. Soc
, vol.103
, pp. 339-350
-
-
Falconer, K.J.1
-
13
-
-
0003292476
-
Littlewood-Paley Theory and the Study of Function Spaces
-
Conf. Board Math. Sci., Washington, Amer. Math. Soc., Providence
-
M. Frazier, B. Jawerth, and G. Weiss, Littlewood-Paley Theory and the Study of Function Spaces, CBMS Regional Conf. Ser. in Math. 79, Conf. Board Math. Sci., Washington, Amer. Math. Soc., Providence, 1991.
-
(1991)
CBMS Regional Conf. Ser. in Math
, pp. 79
-
-
Frazier, M.1
Jawerth, B.2
Weiss, G.3
-
14
-
-
0003287471
-
Polynomial Approximation of Differential Equations
-
Springer-Verlag, Berlin
-
D. Funaro, Polynomial Approximation of Differential Equations, Lecture Notes in Phys. New Ser. m Monogr. 8, Springer-Verlag, Berlin, 1992.
-
(1992)
Lecture Notes in Phys. New Ser. M Monogr
, vol.8
-
-
Funaro, D.1
-
15
-
-
0000423920
-
Arithmetic properties of Bernoulli convolutions
-
A. M. Garsia, Arithmetic properties of Bernoulli convolutions, Trans. Amer. Math. Soc. 102 (1962), 409-432.
-
(1962)
Trans. Amer. Math. Soc
, vol.102
, pp. 409-432
-
-
Garsia, A.M.1
-
16
-
-
84976041921
-
Fractal properties of products and projections of measures in R
-
X. Hu and S. J. Taylor, Fractal properties of products and projections of measures in R, Math. Proc. Cambridge Philos. Soc. 115 (1994), 527-544.
-
(1994)
Math. Proc. Cambridge Philos. Soc
, vol.115
, pp. 527-544
-
-
Hu, X.1
Taylor, S.J.2
-
17
-
-
0001464903
-
How projections affect the dimension spectrum of fractal measures
-
B. Hunt and V. Y. Kaloshin, How projections affect the dimension spectrum of fractal measures, Nonlinearity 10 (1997), 1031-1046.
-
(1997)
Nonlinearity
, vol.10
, pp. 1031-1046
-
-
Hunt, B.1
Kaloshin, V.Y.2
-
18
-
-
84967728280
-
Prevalence: A translation-invariant “almost every" for infinite-dimensional spaces
-
B. Hunt, T D. Sauer, and J. A. Yorke, Prevalence: A translation-invariant “almost every" for infinite-dimensional spaces, Bull. Amer. Math. Soc. (N.S.) 27 (1992), 217-238
-
(1992)
Bull. Amer. Math. Soc. (N.S.)
, vol.27
, pp. 217-238
-
-
Hunt, B.1
Sauer, T.D.2
Yorke, J.A.3
-
20
-
-
0001265433
-
Fractals and self-similarity
-
J. E. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713-747.
-
(1981)
Indiana Univ. Math. J
, vol.30
, pp. 713-747
-
-
Hutchinson, J.E.1
-
21
-
-
0002051531
-
On the upper Minkowski dimension, the packing dimension, and orthogonal projections
-
M. Jarvenpaa, On the upper Minkowski dimension, the packing dimension, and orthogonal projections, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes, 1994.
-
(1994)
Ann. Acad. Sci. Fenn. Ser. a I Math. Dissertationes
-
-
Jarvenpaa, M.1
-
22
-
-
84968468742
-
Distribution functions and the Riemann zeta function
-
B. Jessen and A. Wintner, Distribution functions and the Riemann zeta function, Trans. Amer. Math. Soc. 38 (1935), 48-88.
-
(1935)
Trans. Amer. Math. Soc
, vol.38
, pp. 48-88
-
-
Jessen, B.1
Wintner, A.2
-
23
-
-
0001541363
-
Sur la distribution de certaines séries aléatoires
-
Bull. Soc. Math. France
-
J. P. Kahane, “Sur la distribution de certaines séries aléatoires” in Colloque de Théorie des Nombres (Univ. Bordeaux, Bordeaux, 1969), Bull. Soc. Math. France 25 (1971), 119-122.
-
(1971)
Colloque De Théorie Des Nombres (Univ. Bordeaux, Bordeaux, 1969)
, vol.25
, pp. 119-122
-
-
Kahane, J.P.1
-
24
-
-
84974040590
-
On Hausdorff dimension of projections
-
R. Kaufman, On Hausdorff dimension of projections, Mathematika 15 (1968), 153-155.
-
(1968)
Mathematika
, vol.15
, pp. 153-155
-
-
Kaufman, R.1
-
25
-
-
84971194545
-
An exceptional set for Hausdorff dimension
-
R. Kaufman, An exceptional set for Hausdorff dimension, Mathematika 16 (1969), 57-58.
-
(1969)
Mathematika
, vol.16
, pp. 57-58
-
-
Kaufman, R.1
-
26
-
-
0002244986
-
Hausdorff dimension and exceptional sets of linear transfor-mations
-
R. Kaufman and P. Mattila, Hausdorff dimension and exceptional sets of linear transfor-mations, Ann. Acad. Sci. Fenn. Ser. A I Math. 1 (1975), 387-392.
-
(1975)
Ann. Acad. Sci. Fenn. Ser. a I Math
, vol.1
, pp. 387-392
-
-
Kaufman, R.1
Mattila, P.2
-
27
-
-
0000922898
-
On the morphology of y-expansions with deleted digits
-
M. Keane, M. Smorodinsky, and B. Solomyak, On the morphology of y-expansions with deleted digits, Trans. Amer. Math. Soc. 347 (1995), 955-966.
-
(1995)
Trans. Amer. Math. Soc
, vol.347
, pp. 955-966
-
-
Keane, M.1
Smorodinsky, M.2
Solomyak, B.3
-
28
-
-
0000416849
-
On the dimension of some graphs
-
Contemp. Math. 135, Amer. Math. Soc., Providence
-
F. Ledrappier, “On the dimension of some graphs” in Symbolic Dynamics and Its Applications (New Haven, Conn., 1991), Contemp. Math. 135, Amer. Math. Soc., Providence, 1992, 285-293.
-
(1992)
Symbolic Dynamics and Its Applications (New Haven, Conn., 1991)
, pp. 285-293
-
-
Ledrappier, F.1
-
29
-
-
84963103615
-
Some fundamental geometrical properties of plane sets of fractional dimen-sions
-
J. Marstrand, Some fundamental geometrical properties of plane sets of fractional dimen-sions, Proc. London Math. Soc. (3) 4 (1954), 257-302.
-
(1954)
Proc. London Math. Soc
, vol.4
, Issue.3
, pp. 257-302
-
-
Marstrand, J.1
-
30
-
-
0000367680
-
Hausdorff dimension, orthogonal projections and intersections with planes
-
P. Mattila, Hausdorff dimension, orthogonal projections and intersections with planes, Ann. Acad. Sci. Fenn. Ser. A I Math. 1 (1975), 227-244.
-
(1975)
Ann. Acad. Sci. Fenn. Ser. a I Math
, vol.1
, pp. 227-244
-
-
Mattila, P.1
-
31
-
-
0000528266
-
Orthogonalprojections, Riesz capacities and Minkowski content
-
P. Mattila, Orthogonalprojections, Riesz capacities and Minkowski content. Indiana Univ. Math. J. 39 (1990), 185-198.
-
(1990)
Indiana Univ. Math. J
, vol.39
, pp. 185-198
-
-
Mattila, P.1
-
32
-
-
0003265437
-
Geometry of Sets and Measures in Euclidean Spaces
-
Cambridge University Press, Cambridge
-
P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, Cambridge Stud. Adv. Math. 44, Cambridge University Press, Cambridge, 1995.
-
(1995)
Cambridge Stud. Adv. Math
, vol.44
-
-
Mattila, P.1
-
34
-
-
0002051533
-
Sixty years of Bernoulli convolutions
-
Bandt, Graf, and Zahle, to appear
-
Y. Peres, W. Schlag, and B. Solomyak, “Sixty years of Bernoulli convolutions” in Fractals and Stochastics, II, Proceedings of the Greifswald 1998 Conference, ed. Bandt, Graf, and Zahle, to appear.
-
Fractals and Stochastics, II, Proceedings of the Greifswald 1998 Conference
-
-
Peres, Y.1
Schlag, W.2
Solomyak, B.3
-
35
-
-
0030497277
-
Absolute continuity of Bernoulli convolutions, a simple proof
-
Y. Peres and B. Solomyak, Absolute continuity of Bernoulli convolutions, a simple proof, Math. Res. Lett. 3 (1996), 231-239.
-
(1996)
Math. Res. Lett
, vol.3
, pp. 231-239
-
-
Peres, Y.1
Solomyak, B.2
-
36
-
-
22444452072
-
Self-similar measures and intersections of Cantor sets
-
Y. Peres and B. Solomyak, Self-similar measures and intersections of Cantor sets, Trans. Amer. Math. Soc. 350 (1998), 4065-4087.
-
(1998)
Trans. Amer. Math. Soc
, vol.350
, pp. 4065-4087
-
-
Peres, Y.1
Solomyak, B.2
-
37
-
-
0000922897
-
The Hausdorff dimension of X-expansions with deleted digits
-
M. Pollicott and K. Simon, The Hausdorff dimension of X-expansions with deleted digits, Trans. Amer. Math. Soc. 347 (1995), 967-983.
-
(1995)
Trans. Amer. Math. Soc
, vol.347
, pp. 967-983
-
-
Pollicott, M.1
Simon, K.2
-
38
-
-
0000690674
-
On Hausdorff dimension of some fractal sets
-
F. Przytycki and M. Urbansky, On Hausdorff dimension of some fractal sets, Studia Math. 93 (1989), 155-186.
-
(1989)
Studia Math
, vol.93
, pp. 155-186
-
-
Przytycki, F.1
Urbansky, M.2
-
39
-
-
0031490957
-
Are the dimensions of a set and its image equal under typical smooth functions? Ergodic Theory Dynam
-
T. D. Sauer and J. A. Yorke, Are the dimensions of a set and its image equal under typical smooth functions? Ergodic Theory Dynam. Systems 17 (1997), 941-956.
-
(1997)
Systems
, vol.17
, pp. 941-956
-
-
Sauer, T.D.1
Yorke, J.A.2
-
40
-
-
0000660967
-
On the random seriesƩ ±λn (An Erdős problem)
-
n (an Erdős problem), Ann. of Math. (2) 142 (1995), 611-625.
-
(1995)
Ann. of Math
, vol.142
, Issue.2
, pp. 611-625
-
-
Solomyak, B.1
-
41
-
-
0031584990
-
On the measure of arithmetic sums of Cantor sets
-
B. Solomyak, On the measure of arithmetic sums of Cantor sets, Indag. Math. (N.S.) 8 (1997), 133-141.
-
(1997)
Indag. Math. (N.S.)
, vol.8
, pp. 133-141
-
-
Solomyak, B.1
-
42
-
-
33746803712
-
Measure and dimension for some fractal families
-
B. Solomyak, Measure and dimension for some fractal families, Math. Proc. Cambridge Philos. Soc. 124 (1998), 531-546.
-
(1998)
Math. Proc. Cambridge Philos. Soc
, vol.124
, pp. 531-546
-
-
Solomyak, B.1
-
44
-
-
0003552286
-
-
Princeton University Press, Princeton
-
E. Stein, Harmonic Analysis, Princeton University Press, Princeton, 1993.
-
(1993)
Harmonic Analysis
-
-
Stein, E.1
-
45
-
-
0001007308
-
A Kakeya type problem for circles, Amer
-
T. Wolff, A Kakeya type problem for circles, Amer. J. Math. 119 (1997), 985-1026.
-
(1997)
J. Math
, vol.119
, pp. 985-1026
-
-
Wolff, T.1
-
46
-
-
85037906394
-
Recent work connected with the Kakeya problem
-
Soc., Providence
-
T. Wolff, “Recent work connected with the Kakeya problem” in Prospects in Mathematics (Princeton, NJ, 1996), Amer. Math. Soc., Providence, 1999.
-
Prospects in Mathematics (Princeton, NJ, 1996), Amer. Math
, pp. 1999
-
-
Wolff, T.1
-
47
-
-
0346498176
-
Decay of circular means of Fourier transforms of measures. Preprint (1999). To appear in Internat
-
T. Wolff, Decay of circular means of Fourier transforms of measures. Preprint (1999). To appear in Internat. Math. Res. Notices 1999, 547-567.
-
(1999)
Math. Res. Notices
, pp. 547-567
-
-
Wolff, T.1
|