논문KCI 등재
Fourier decay of Moran measure with quasi periodic sequence
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce a class of Moran measures generated by quasi periodic sequences, and consider power decay of the Fourier transforms of this kind of measures.
Abstract
In this paper, we introduce a class of Moran measures generated by quasi periodic sequences, and consider power decay of the Fourier transforms of this kind of measures.
참고문헌 (25)
- N. Alon, "The Probabilistic Method, Wiley-Interscience Series in Discrete Mathematics and Optimization" (1992), John Wiley & Sons, Inc.
- L. -X. An, "On spectral Cantor-Moran measures and a variant of Bourgain’s sum of sine problem", Adv. Math, 349, pp.84~124 (2019)[DOI]
- L. -X. An, "A class of spectral Moran measures", J. Funct. Anal, 266(1), pp.343~354 (2014)[DOI]
- J. Br´emont, "Self-similar measures and the Rajchman property", Ann. H. Lebesgue, 4, pp.973~1004 (2021)[DOI]
- R. Cawley, "Multifractal decompositions of Moran fractals", Adv. Math, 92(2), pp.196~236 (1992)[DOI]
- X. -R. Dai, "Refinable functions with non-integer dilations", J. Funct. Anal, 250(1), pp.1~20 (2007)[DOI]
- X. -R. Dai, "Spectral measures with arbitrary Hausdorff dimensions", J. Funct. Anal, 268(8), pp.2464~2477 (2015)[DOI]
- H. Davenport, "On Weyl’s criterion for uniform distribution", Michigan Math. J, 10, pp.311~314 (1963)
- D. E. Dutkay, "Spectral measures generated by arbitrary and random convolutions", J. Math. Pures Appl, 107(2), pp.183~204 (2017)[DOI]
- P. Erdos, "On a family of symmetric Bernoulli convolutions", Amer. J. Math, 61, pp.974~976 (1939)[DOI]
- P. Erdos, "On the smoothness properties of a family of Bernoulli convolutions", Amer. J. Math, 62, pp.180~186 (1940)[DOI]
- D. -J. Feng, "Some dimensional results for homogeneous Moran sets", Sci. China Ser. A, 40(5), pp.475~482 (1997)[DOI]
- L. He, "On the Fourier orthonormal bases of Cantor-Moran measures", J. Funct. Anal, 272(5), pp.1980~2004 (2017)[DOI]
- S. Hua, "Packing dimension of generalized Moran sets", Progr. Natur. Sci. (English Ed. ), 6(2), pp.148~152 (1996)
- S. Hua, "On the structures and dimensions of Moran sets", Sci. China Ser. A, 43(8), pp.836~852 (2000)[DOI]
- J. Hutchinson, "Fractals and self-similarity", Indiana Univ. Math. J, 30(5), pp.713~747 (1981)[DOI]
- B. Jessen, "Distribution functions and the Riemann zeta function", Trans. Amer. Math. Soc, 38(1), pp.48~88 (1935)[DOI]
- J. -P. Kahane, "Sur la distribution de certaines s´eries al´eatoires, in Colloque de Th´eorie des Nombres (Univ. Bordeaux, Bordeaux, 1969)", Supplement au Bull. Soc. Math. France, 99, pp.119~122 (1971)[DOI]
- J. Li, "Fourier transform of self-affine measures", Adv. Math, 374, pp.107349~ (2020)[DOI]
- Z. S. Liu, "A class of spectral Moran measures on R", Fractals, 28(1), pp.2050015~ (2020)
- Z. -Y. Lu, "Spectrality of Sierpinski-type self-affine measures", J. Funct. Anal, 282(3, Paper No. 109310), pp.31~ (2022)[DOI]
- P. A. P. Moran, "Additive functions of intervals and Hausdorff measure", Proc. Cambridge Philos. Soc, 42, pp.15~23 (1946)[DOI]
- R. Salem, "Sets of uniqueness and sets of multiplicity", Trans. Amer. Math. Soc, 54, pp.218~228 (1943)[DOI]
- B. Solomyak, "Fourier decay for self-similar measures", Proc. Amer. Math. Soc, 149(8), pp.3277~3291 (2021)[DOI]
- P. Varj´u, "Fourier decay of self-similar measures and self-similar sets of uniqueness", Anal. PDE, 15(3), pp.843~858 (2022)[DOI]
관련 논문AI추천
Regularities of Fractal Measures on R^{2}Hung Hwan Lee, Hun Ki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호PACKING DIMENSIONS OF GENERALIZED RANDOM MORAN SETSXiao-jun Zhao, XinTong, Yue-li Yu대한수학회 · 대한수학회지2014 · 제51권 제5호Relative multifractal spectrumNajmeddine Attia대한수학회 · 대한수학회논문집2018 · 제33권 제2호On a Quasi-Self-Similar Measure on a Self-Similar Set on the Way to a Perturbed Cantor Set백인수한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호Some results about the regularities of multifractal measuresBilel Selmi강원경기수학회 · 한국수학논문집2018 · 제26권 제2호Metric theorem and Hausdorff dimension on recurrence rate of Laurent seriesBing Li, Jian Xu, Xuehai Hu대한수학회 · 대한수학회보2014 · 제51권 제1호
이 간행물의 다른 논문 (17건)
Some factorization properties of idealization in commutative rings with zero divisorsSina Eftekhari, Mahdi Reza Khorsandi, Sayyed Heidar Jafaripp. 291-299On the generalized principally injective modulesAlireza Najafizadeh, Fatemeh Gholami, Zohreh Habibipp. 301-315Sharp bounds of fifth coefficient and Hermitian-Toeplitz determinants for Sakaguchi classesS. SIVAPRASAD KUMAR, Surya Giripp. 317-333Certain differential identities in prime rings with anti-automorphismsMohammad Aslam Siddeeque, Abbas Hussain Shikehpp. 335-353Curvature estimates for a class of fully nonlinear elliptic equations with general right hand sidesJundong Zhoupp. 355-379
