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- Title
New convolutions and their applicability to integral equations of Wiener‐Hopf plus Hankel type.
- Authors
Castro, Luis P.; Guerra, Rita C.; Tuan, Nguyen Minh
- Abstract
We propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier‐type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener‐Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier‐type series are used to produce the solution formula of such equations, and a Shannon‐type sampling formula is also obtained.
- Subjects
INTEGRAL equations; HANKEL functions; MATHEMATICAL convolutions; HANKEL operators; INTEGRAL operators; FOURIER integrals; EQUATIONS
- Publication
Mathematical Methods in the Applied Sciences, 2020, Vol 43, Issue 7, p4835
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.6236