The Fourier transform of thick distributions
From MaRDI portal
Publication:5153349
DOI10.1142/S0219530520500074zbMath1484.46048arXiv1909.03945OpenAlexW2971625981MaRDI QIDQ5153349
Yunyun Yang, Jasson Vindas, Ricardo Estrada
Publication date: 29 September 2021
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03945
Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularization and derivatives of multipole potentials
- Stora's fine notion of divergent amplitudes
- The nonexistence of regularization operators.
- Regularization, pseudofunction, and Hadamard finite part
- Distributions in spaces with thick points
- Harmonic Function Theory
- Hadamard regularization
- Renormalization of massless Feynman amplitudes in configuration space
- Applications of the Thick Distributional Calculus
- Asymptotic Expansion of a Class of Multi-Dimensional Integrals
- Hadamard's finite part concept in dimension n[ges 2; definition and change of variables, associated Fubini's theorem, derivation]
- The Dirichlet-to-Robin transform
- Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order
- Regularization using different surfaces and the second-order derivatives of 1/r
- An apparent paradox concerning the field of an ideal dipole
- Asymptotic expansion of thick distributions
This page was built for publication: The Fourier transform of thick distributions