Supercharacters and the discrete Fourier, cosine, and sine transforms

DOI10.1080/00927872.2018.1424866zbMath1393.15024arXiv1702.02689OpenAlexW2962923203MaRDI QIDQ4576698

Samuel Yih, Stephan Ramon Garcia

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02689

zbMATH Keywords

discrete Fourier transformexponential basisdiscrete cosine/cosine transform

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Algebraic systems of matrices (15A30) Matrix exponential and similar functions of matrices (15A16)

Related Items (2)

Fast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applications ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supercharacters, exponential sums, and the uncertainty principle.
• Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
• Spectral and computational properties of band symmetric Toeplitz matrices
• Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
• Restricting supercharacters of the finite group of unipotent uppertriangular matrices.
• Gauss and the history of the fast Fourier transform
• Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform
• On algebras related to the discrete cosine transform
• Fast scattered data approximation with Neumann and other boundary conditions
• Basic characters of the unitriangular group
• Matrix decompositions using displacement rank and classes of commutative matrix algebras
• Sine transform based preconditioners for symmetric Toeplitz systems
• Ramanujan sums as supercharacters
• Basic characters of the unitriangular group (for arbitrary primes)
• JMM Lecture Sampler
• Fusions of Character Tables and Schur Rings of Abelian Groups
• Supercharacter formulas for pattern groups
• Fast Transform Based Preconditioners for Toeplitz Equations
• Supercharacter Theory Constructions Corresponding to Schur Ring Products
• The graphic nature of Gaussian periods
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups
• The Graphic Nature of the Symmetric Group
• Supercharacters and superclasses for algebra groups
• Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices
• The basic character table of the unitriangular group

This page was built for publication: Supercharacters and the discrete Fourier, cosine, and sine transforms