Singular vectors on manifolds and fractals
نویسندگان
چکیده
We generalize Khintchine’s method of constructing totally irrational singular vectors and linear forms. The main result the paper shows existence forms with large uniform Diophantine exponents on certain subsets ℝn, in particular any analytic submanifold ℝn dimension ≥2 which is not contained a proper rational affine subspace.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2220-3