Diagonalization of the Finite Hilbert Transform on Two Adjacent Intervals
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00041-016-9458-x.pdf
Reference14 articles.
1. Al-Aifari, R., Defrise, M., Katsevich, A.: Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap. SIAM J. Math. Anal. 47, 797–824 (2015)
2. Al-Aifari, R., Katsevich, A.: Spectral analysis of the truncated Hilbert transform with overlap. SIAM J. Math. Anal. 46, 192–213 (2014)
3. Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions. Dover, New York (1970)
4. Bennewitz, C., Everitt, W.N.: The Titchmarsh–Weyl eigenfunction expansion theorem for Sturm–Liouville differential equations. In: Amrein, W.O., Hinz, A.M., Pearson, D.B. (eds.) Sturm–Liouville Theory: Past and Present, pp. 137–171. Birkhauser, Basel (2005)
5. Bertola, M., Katsevich, A., Tovbis, A.: Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann–Hilbert problem approach. Comm. Pure Appl. Math. (2014). doi: 10.1002/cpa.21547 . See also arXiv:1402.0216v1
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