Shengwen Gan

activity

20132026

most citedThree-body force effect on off-shell mass operator and spectral functions in nuclear matter

16 citations · 28 across the 22 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.CA2022

A restricted projection problem for fractal sets in $R^{n}$

Shengwen Gan, Shaoming Guo, Hong Wang

Let $γ : [- 1, 1] \to R^{n}$ be a smooth curve that is non-degenerate. Take $m \leq n$ and a Borel set $E \subset [0, 1]^{n}$ . We prove that the orthogonal projection of $E$ to the…

math.CA2022★ 2 cited

An exceptional set estimate for restricted projections to lines in $R^{3}$

Shengwen Gan, Larry Guth, Dominique Maldague

Let $γ : [0, 1] \to S^{2}$ be a non-degenerate curve in $R^{3}$ , that is to say, $det (γ (θ), γ^{'} (θ), γ^{''} (θ)) \neq = 0$ . For each $θ \in [0, 1]$ , let $l_θ=\{tγ(θ)…

math.CA2022

Exceptional set estimates for radial projections in $R^{n}$

Paige Bright, Shengwen Gan

We prove two conjectures in this paper. The first conjecture is by Lund, Pham and Thu: Given a Borel set $A \subset R^{n}$ such that $dim A \in (k, k + 1]$ for some $k\in\{1,\do…

math.CA2022★ 3 cited

On restricted projections to planes in $R^{3}$

Shengwen Gan, Shaoming Guo, Larry Guth +3

Let $γ : [0, 1] \to S^{2}$ be a non-degenerate curve in $R^{3}$ , that is to say, $det (γ (θ), γ^{'} (θ), γ " (θ)) \neq = 0$ . For each $θ \in [0, 1]$ , let $V_θ=γ(θ)^\pe…

math.CA2022

Square function estimates for conical regions

Shengwen Gan, Shukun Wu

We prove square function estimates for certain conical regions. Specifically, let ${Δ_{j}}$ be regions of the unit sphere $S^{n - 1}$ and let $S_{j} f$ be the smooth Fourier r…

A restricted projection problem for fractal sets in Rn

An exceptional set estimate for restricted projections to lines in R3

Exceptional set estimates for radial projections in Rn

On restricted projections to planes in R3

Square function estimates for conical regions

A restricted projection problem for fractal sets in $R^{n}$

An exceptional set estimate for restricted projections to lines in $R^{3}$

Exceptional set estimates for radial projections in $R^{n}$

On restricted projections to planes in $R^{3}$