Metamorphism -- an integral transform reducing the order of a differential equation

DOI10.1515/JAA-2022-1042zbMath1528.35004arXiv2105.12079OpenAlexW3165682588WikidataQ117219053 ScholiaQ117219053MaRDI QIDQ6085002

G.V.P.Khmelevskaya

Publication date: 2 December 2023

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12079

zbMATH Keywords

integral transformpartial differential equationHelmholtz equationcoherent states

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Cites Work

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• Coherent states, wavelets, and their generalizations
• Lectures on Gaussian integral operators and classical groups
• Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform
• Lie theory and special functions
• Eigenfunctions of the Linear Canonical Transform
• On a Hilbert space of analytic functions and an associated integral transform part I
• Some Recent Developments in the Transmutation Operator Approach
• Handbook of Linear Partial Differential Equations for Engineers and Scientists
• Harmonic Analysis in Phase Space. (AM-122)
• Wave packets and fourier integral operators
• A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics
• Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group
• A Generalized Weierstrass Transformation
• Metamorphism as a covariant transform for the SSR group

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