Gibson, Peter C. Theorems of Szegö-Verblunsky type in the multivariate and almost periodic settings. (English) Zbl 1528.42034 J. Approx. Theory 290, Article ID 105884, 34 p. (2023). MSC: 42C05 32A10 34L25 34L40 42A75 42B30 PDFBibTeX XMLCite \textit{P. C. Gibson}, J. Approx. Theory 290, Article ID 105884, 34 p. (2023; Zbl 1528.42034) Full Text: DOI arXiv
Gibson, Peter C. Disk polynomials and the one-dimensional wave equation. (English) Zbl 1418.35254 J. Approx. Theory 244, 37-56 (2019). MSC: 35L05 35R05 33C50 42C05 PDFBibTeX XMLCite \textit{P. C. Gibson}, J. Approx. Theory 244, 37--56 (2019; Zbl 1418.35254) Full Text: DOI
Gibson, Peter C. Acoustic imaging of layered media. (English) Zbl 1415.35290 J. Comput. Phys. 372, 524-545 (2018). MSC: 35R30 35A22 35J15 PDFBibTeX XMLCite \textit{P. C. Gibson}, J. Comput. Phys. 372, 524--545 (2018; Zbl 1415.35290) Full Text: DOI
Gibson, Peter C. The refined impedance transform for 1D acoustic reflection data. (English) Zbl 1507.65163 Inverse Probl. 34, No. 7, Article ID 075013, 14 p. (2018). MSC: 65M32 65R32 76Q05 PDFBibTeX XMLCite \textit{P. C. Gibson}, Inverse Probl. 34, No. 7, Article ID 075013, 14 p. (2018; Zbl 1507.65163) Full Text: DOI arXiv
Gibson, Peter C. Fourier expansion of disk automorphisms via scattering in layered media. (English) Zbl 1385.42006 J. Fourier Anal. Appl. 23, No. 6, 1495-1516 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 42B05 74J20 35R05 33D50 PDFBibTeX XMLCite \textit{P. C. Gibson}, J. Fourier Anal. Appl. 23, No. 6, 1495--1516 (2017; Zbl 1385.42006) Full Text: DOI arXiv
Gibson, Peter C. On the measurement operator for scattering in layered media. (English) Zbl 1357.35294 Inverse Probl. Imaging 11, No. 1, 87-97 (2017). MSC: 35R30 74J20 86A22 PDFBibTeX XMLCite \textit{P. C. Gibson}, Inverse Probl. Imaging 11, No. 1, 87--97 (2017; Zbl 1357.35294) Full Text: DOI