On hyperplane sections and projections in \(l_p^n\)
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Publication:6613293
DOI10.1007/S43037-024-00375-5MaRDI QIDQ6613293
Publication date: 2 October 2024
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)
Cites Work
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- The Fourier transform of the quartic Gaussian \(\exp(-Ax^4)\): hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to \(\exp(-Ax^{2 n})\)
- Volumes of low-dimensional slabs and sections in the cube
- Sections of the unit ball of \(\ell ^ n_ p\)
- An application of the Fourier transform to sections of star bodies
- On the zeros of an integral function represented by Fourier's integral.
- Hyperplane projections of the unit ball of \(\ell_{p}^{n}\)
- On the volume of non-central sections of a cube
- Gitterperiodische Punktmengen und Isoperimetrie
- Cube Slicing in R n
- On the best constants in the Khinchin inequality
- Slicing the Cube in R n and Probability (Bounds for the Measure of a Central Cube Slice in R n by Probability Methods)
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