Casper, W. Riley; Grünbaum, F. Alberto; Yakimov, Milen; Zurrián, Ignacio Reflective prolate-spheroidal operators and the KP/KdV equations. (English) Zbl 1462.35330 Proc. Natl. Acad. Sci. USA 116, No. 37, 18310-18315 (2019). MSC: 35Q53 37K10 14M15 94A12 42A38 35Q51 PDFBibTeX XMLCite \textit{W. R. Casper} et al., Proc. Natl. Acad. Sci. USA 116, No. 37, 18310--18315 (2019; Zbl 1462.35330) Full Text: DOI arXiv
Levi, D.; Benguria, R. Bäcklund transformations and nonlinear differential difference equations. (English) Zbl 0453.35072 Proc. Natl. Acad. Sci. USA 77, 5025-5027 (1980). MSC: 35Q99 35A22 35J10 35P99 PDFBibTeX XMLCite \textit{D. Levi} and \textit{R. Benguria}, Proc. Natl. Acad. Sci. USA 77, 5025--5027 (1980; Zbl 0453.35072) Full Text: DOI
Benguria, R.; Case, K. M. Bäcklund transformations for multidimensional sine-Gordon equations. (English) Zbl 0441.35062 Proc. Natl. Acad. Sci. USA 77, 4393-4394 (1980). MSC: 35Q99 35A22 PDFBibTeX XMLCite \textit{R. Benguria} and \textit{K. M. Case}, Proc. Natl. Acad. Sci. USA 77, 4393--4394 (1980; Zbl 0441.35062) Full Text: DOI
Herrera, Ismael; Sabina, Federico J. Connectivity as an alternative to boundary integral equations: Construction of bases. (English) Zbl 0407.73064 Proc. Natl. Acad. Sci. USA 75, 2059-2063 (1978). MSC: 74S05 35L05 35K05 35J05 35A22 65N30 PDFBibTeX XMLCite \textit{I. Herrera} and \textit{F. J. Sabina}, Proc. Natl. Acad. Sci. USA 75, 2059--2063 (1978; Zbl 0407.73064) Full Text: DOI
Duffin, R. J. Hilbert transforms in Yukawan potential theory. (English) Zbl 0243.31003 Proc. Natl. Acad. Sci. USA 69, 3677-3679 (1972). MSC: 31A05 35J15 44A05 42C05 PDFBibTeX XMLCite \textit{R. J. Duffin}, Proc. Natl. Acad. Sci. USA 69, 3677--3679 (1972; Zbl 0243.31003) Full Text: DOI
Lin, S. H.; Eyring, H. Calculation of the reaction cross section from a rate constant by the method of steepest-descent. (English) Zbl 0211.47702 Proc. Natl. Acad. Sci. USA 68, 402-405 (1971). MSC: 65R20 44A10 65R10 65Z05 PDFBibTeX XMLCite \textit{S. H. Lin} and \textit{H. Eyring}, Proc. Natl. Acad. Sci. USA 68, 402--405 (1971; Zbl 0211.47702) Full Text: DOI Link
Knapp, A. W.; Stein, Elias M. Singular integrals and the principal series. (English) Zbl 0181.12501 Proc. Natl. Acad. Sci. USA 63, 281-284 (1969). PDFBibTeX XMLCite \textit{A. W. Knapp} and \textit{E. M. Stein}, Proc. Natl. Acad. Sci. USA 63, 281--284 (1969; Zbl 0181.12501) Full Text: DOI
Redheffer, R. An inequality for the Hilbert transform. (English) Zbl 0175.12501 Proc. Natl. Acad. Sci. USA 61, 810-811 (1968). PDFBibTeX XMLCite \textit{R. Redheffer}, Proc. Natl. Acad. Sci. USA 61, 810--811 (1968; Zbl 0175.12501) Full Text: DOI
Bellman, R. A new approach to the numerical solution of a class of linear and nonlinear integral equations of Fredholm type. (English) Zbl 0171.09603 Proc. Natl. Acad. Sci. USA 54, 1501-1503 (1965). PDFBibTeX XMLCite \textit{R. Bellman}, Proc. Natl. Acad. Sci. USA 54, 1501--1503 (1965; Zbl 0171.09603) Full Text: DOI
Calderón, Alberto P. Commutators of singular integral operators. (English) Zbl 0151.16901 Proc. Natl. Acad. Sci. USA 53, 1092-1099 (1965). PDFBibTeX XMLCite \textit{A. P. Calderón}, Proc. Natl. Acad. Sci. USA 53, 1092--1099 (1965; Zbl 0151.16901) Full Text: DOI Link
Leonard, A.; Mullikin, T. W. Green’s functions for one-velocity neutron transport in a one-dimensional slab and sphere. (English) Zbl 0134.10003 Proc. Natl. Acad. Sci. USA 52, 683-688 (1964). PDFBibTeX XMLCite \textit{A. Leonard} and \textit{T. W. Mullikin}, Proc. Natl. Acad. Sci. USA 52, 683--688 (1964; Zbl 0134.10003) Full Text: DOI
Koppelman, Walter On the spectral theory of singular integral operators. (English) Zbl 0098.07601 Proc. Natl. Acad. Sci. USA 44, 1252-1254 (1958). PDFBibTeX XMLCite \textit{W. Koppelman}, Proc. Natl. Acad. Sci. USA 44, 1252--1254 (1958; Zbl 0098.07601) Full Text: DOI
Pekeris, Chaim L.; Alterman, Zipora Solution of the Boltzmann-Hilbert integral equation. II: The coefficients of viscosity and heat conduction. (English) Zbl 0080.09102 Proc. Natl. Acad. Sci. USA 43, 998-1007 (1957). PDFBibTeX XMLCite \textit{C. L. Pekeris} and \textit{Z. Alterman}, Proc. Natl. Acad. Sci. USA 43, 998--1007 (1957; Zbl 0080.09102) Full Text: DOI
Kohn, J. J. Singular integral equations for differential forms on Riemannian manifolds. (English) Zbl 0071.32303 Proc. Natl. Acad. Sci. USA 42, 650-653 (1956). PDFBibTeX XMLCite \textit{J. J. Kohn}, Proc. Natl. Acad. Sci. USA 42, 650--653 (1956; Zbl 0071.32303) Full Text: DOI
Pekeris, C. L. Solution of an integral equation occurring in impulsive wave propagation problems. (English) Zbl 0071.32301 Proc. Natl. Acad. Sci. USA 42, 439-443 (1956). PDFBibTeX XMLCite \textit{C. L. Pekeris}, Proc. Natl. Acad. Sci. USA 42, 439--443 (1956; Zbl 0071.32301) Full Text: DOI Link
Herz, Carl S. Spectral synthesis for the Cantor set. (English) Zbl 0070.10801 Proc. Natl. Acad. Sci. USA 42, 42-43 (1956). PDFBibTeX XMLCite \textit{C. S. Herz}, Proc. Natl. Acad. Sci. USA 42, 42--43 (1956; Zbl 0070.10801) Full Text: DOI
Ehrenpreis, Leon Completely inversible operators. (English) Zbl 0066.35001 Proc. Natl. Acad. Sci. USA 41, 945-946 (1955). PDFBibTeX XMLCite \textit{L. Ehrenpreis}, Proc. Natl. Acad. Sci. USA 41, 945--946 (1955; Zbl 0066.35001) Full Text: DOI
Pekeris, C. L. Solution of the Boltzmann-Hilbert integral equation. (English) Zbl 0065.09202 Proc. Natl. Acad. Sci. USA 41, 661-669 (1955). PDFBibTeX XMLCite \textit{C. L. Pekeris}, Proc. Natl. Acad. Sci. USA 41, 661--669 (1955; Zbl 0065.09202) Full Text: DOI
Widder, D. V. Weierstrass transforms of positive functions. (English) Zbl 0042.34003 Proc. Natl. Acad. Sci. USA 37, 315-317 (1951). PDFBibTeX XMLCite \textit{D. V. Widder}, Proc. Natl. Acad. Sci. USA 37, 315--317 (1951; Zbl 0042.34003) Full Text: DOI Link
Rosenthal, Jenny E. The solution of a certain general type of integral equation. (English) Zbl 0035.19101 Proc. Natl. Acad. Sci. USA 36, 267 (1950). PDFBibTeX XMLCite \textit{J. E. Rosenthal}, Proc. Natl. Acad. Sci. USA 36, 267 (1950; Zbl 0035.19101) Full Text: DOI
Schoenberg, I. J. On variation-diminishing integral operators of the convolution type. (English) Zbl 0036.20301 Proc. Natl. Acad. Sci. USA 34, 164-169 (1948). PDFBibTeX XMLCite \textit{I. J. Schoenberg}, Proc. Natl. Acad. Sci. USA 34, 164--169 (1948; Zbl 0036.20301) Full Text: DOI
Boas, R. P. jun. Exponential transforms and Appell polynomials. (English) Zbl 0032.07402 Proc. Natl. Acad. Sci. USA 34, 481-483 (1948). PDFBibTeX XMLCite \textit{R. P. Boas jun.}, Proc. Natl. Acad. Sci. USA 34, 481--483 (1948; Zbl 0032.07402) Full Text: DOI
Hirschmann, I. I. jun.; Widder, D. V. An inversion and representation theory for convolution transforms with totally positive kernels. (English) Zbl 0030.39301 Proc. Natl. Acad. Sci. USA 34, 132-156 (1948). PDFBibTeX XMLCite \textit{I. I. Hirschmann jun.} and \textit{D. V. Widder}, Proc. Natl. Acad. Sci. USA 34, 132--156 (1948; Zbl 0030.39301) Full Text: DOI Link
Schoenberg, I. J. On totally positive functions, Laplace integrals and entire functions of the Laguerre-Polya-Schur type. (English) Zbl 0029.36601 Proc. Natl. Acad. Sci. USA 33, 11-17 (1947). PDFBibTeX XMLCite \textit{I. J. Schoenberg}, Proc. Natl. Acad. Sci. USA 33, 11--17 (1947; Zbl 0029.36601) Full Text: DOI
Widder, D. V. The inversion of a generalized Laplace transform. (English) Zbl 0029.22001 Proc. Natl. Acad. Sci. USA 33, 295-297 (1947). PDFBibTeX XMLCite \textit{D. V. Widder}, Proc. Natl. Acad. Sci. USA 33, 295--297 (1947; Zbl 0029.22001) Full Text: DOI Link
Widder, D. V. Greens functions for linear differential systems of infinite order. (English) Zbl 0029.21901 Proc. Natl. Acad. Sci. USA 33, 31-34 (1947). PDFBibTeX XMLCite \textit{D. V. Widder}, Proc. Natl. Acad. Sci. USA 33, 31--34 (1947; Zbl 0029.21901) Full Text: DOI Link
Widder, D. V. The Green’s function for a differential system of infinite order. (English) Zbl 0027.07601 Proc. Natl. Acad. Sci. USA 26, 213-215 (1940). PDFBibTeX XMLCite \textit{D. V. Widder}, Proc. Natl. Acad. Sci. USA 26, 213--215 (1940; Zbl 0027.07601) Full Text: DOI
Condon, E. U. Immersion of the Fourier transform in a continuous group of functional transformations. (English) Zbl 0016.25902 Proc. Natl. Acad. Sci. USA 23, 158-164 (1937). PDFBibTeX XMLCite \textit{E. U. Condon}, Proc. Natl. Acad. Sci. USA 23, 158--164 (1937; Zbl 0016.25902) Full Text: DOI