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pro vyhledávání: '"Denson, Jacob"'
Autor:
Denson, Jacob
For any bounded, regulated function $m: [0,\infty) \to \mathbb{C}$, consider the family of operators $\{ T_R \}$ on the sphere $S^d$ such that $T_R f = m(k/R) f$ for any spherical harmonic $f$ of degree $k$. We completely characterize the compactly s
Externí odkaz:
http://arxiv.org/abs/2410.23505
Autor:
Denson, Jacob
We construct large Salem sets avoiding patterns, complementing previous constructions of pattern avoiding sets with large Hausdorff dimension. For a (possibly uncountable) family of uniformly Lipschitz functions $\{ f_i : (\mathbb{T}^d)^{n-2} \to \ma
Externí odkaz:
http://arxiv.org/abs/2110.09592
Autor:
Denson, Jacob
The pattern avoidance problem seeks to construct a set with large fractal dimension that avoids a prescribed pattern, such as three term arithmetic progressions, or more general patterns, such as finding a set whose Cartesian product avoids the zero
Externí odkaz:
http://arxiv.org/abs/1912.00573
The pattern avoidance problem seeks to construct a set $X\subset \mathbb{R}^d$ with large dimension that avoids a prescribed pattern. Examples of such patterns include three-term arithmetic progressions (solutions to $x_1 - 2x_2 + x_3 = 0$), or more
Externí odkaz:
http://arxiv.org/abs/1904.02337