A family of Mexican hat wavelet transforms associated with an isometry in the heat equation

DOI10.1002/MMA.7492zbMath1482.44009OpenAlexW3160523104MaRDI QIDQ4957881

Aparna Rawat, Shubha Singh, Abhishek Singh, Hari M. Srivastava

Publication date: 10 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7492

zbMATH Keywords

heat equationGreen's functionwavelet transformsHilbert spaces with reproducing kernelsWeierstrass transformMexican hat wavelets

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Numerical methods for wavelets (65T60) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (2)

The localization operator and wavelet multipliers involving the Watson transform ⋮ Discrete Weierstrass transform: generalisations

This page was built for publication: A family of Mexican hat wavelet transforms associated with an isometry in the heat equation