Discrete Fourier transform and Jacobi θ function identities

DOI10.1063/1.3272005zbMath1309.14034OpenAlexW2053411437MaRDI QIDQ5246562

R. A. Malekar, Hemant Dattatray Bhate

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3272005

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Theta functions and abelian varieties (14K25)

Related Items (5)

Discrete Fourier transform of prime order: eigenvectors with small support ⋮ Discrete Fourier Transform and Theta Function Identities ⋮ Discrete Fourier transform and Riemann identities for \(\theta\) functions ⋮ Discrete Fourier Transform and Extended Modified Hermite Polynomials ⋮ Unnamed Item

Cites Work

• An addition formula for the Jacobian theta function and its applications
• Determinant identities for theta functions
• Discrete coherent states and probability distributions in finite-dimensional spaces
• Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
• Jacobi ϑ-functions and discrete Fourier transforms
• Eigenvalues and eigenvectors of the finite Fourier transform
• Unnamed Item

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