Algebras of commuting differential operators for kernels of Airy type
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Publication:6203569
DOI10.1007/978-3-031-13851-5_12arXiv2112.11639OpenAlexW4313341954MaRDI QIDQ6203569
Milen T. Yakimov, Ignacio Nahuel Zurrián, F. Alberto Gruenbaum, W. Riley Casper
Publication date: 5 April 2024
Published in: Toeplitz Operators and Random Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.11639
differential Galois groupsFourier algebrasadelic Grassmannianbispectral functionscommuting integral and differential operators
Integral operators (47G10) Relationships between algebraic curves and integrable systems (14H70) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05)
Cites Work
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- Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
- Differential equations in the spectral parameter
- Bispectral Darboux transformations: The generalized Airy case
- Intersection theory on the moduli space of curves and the matrix Airy function
- Integration of nonlinear equations by the methods of algebraic geometry
- Bispectral algebras of commuting ordinary differential operators
- Level-spacing distributions and the Airy kernel
- Fredholm determinants, differential equations and matrix models
- \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems
- General methods for constructing bispectral operators
- Integral operators, bispectrality and growth of Fourier algebras
- On the eivenvalues of an integral equation arising in the theory of band-limited signals
- Bispectral commutative ordinary differential operators.
- Eigenvectors of a Toeplitz Matrix: Discrete Version of the Prolate Spheroidal Wave Functions
- Some comments on Fourier analysis, uncertainty and modeling
- Commuting differential operators for the finite Laplace transform
- Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples
- On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket
- Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
- Time-and-band limiting for matrix orthogonal polynomials of Jacobi type
- Reflective prolate-spheroidal operators and the KP/KdV equations
- Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation
- Bispectrality and Time–Band Limiting: Matrix-valued Polynomials
- Maximal violation of Bell inequalities by position measurements
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
