Struct FourierRestrictionData 

pub struct FourierRestrictionData {
    pub manifold: String,
    pub dimension: usize,
    pub stein_tomas_p: f64,
}

Data for the Fourier restriction problem.

Fields

manifold: String

Manifold/hypersurface.

dimension: usize

Dimension n.

stein_tomas_p: f64

Stein-Tomas exponent p_0 = 2(n+1)/(n-1).

Implementations

impl FourierRestrictionData

pub fn new(manifold: &str, dim: usize) -> Self

Creates restriction data.

pub fn stein_tomas_statement(&self) -> String

Stein-Tomas theorem: restriction R_S: L^{p’} → L^2(S, dσ) bounded for p’ <= p_0.

pub fn decoupling_description(&self) -> String

Decoupling theorem connection (Bourgain-Demeter).

pub fn endpoint_holds(&self) -> bool

Checks if the endpoint Stein-Tomas holds.

Trait Implementations

impl Clone for FourierRestrictionData

fn clone(&self) -> FourierRestrictionData

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for FourierRestrictionData

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.