Bartel, Felix; Kämmerer, Lutz; Potts, Daniel; Ullrich, Tino On the reconstruction of functions from values at subsampled quadrature points. (English) Zbl 1542.41005 Math. Comput. 93, No. 346, 785-809 (2024). Reviewer: Andriy Prymak (Winnipeg) MSC: 41A10 41A25 41A60 41A63 42A10 68Q25 68W40 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk Function integration, reconstruction and approximation using rank-\(1\) lattices. (English) Zbl 1466.42002 Math. Comput. 90, No. 330, 1861-1897 (2021). MSC: 42A10 41A10 41A63 65D30 65D32 65D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loureiro, Ana F.; Xu, Kuan Volterra-type convolution of classical polynomials. (English) Zbl 1428.42011 Math. Comput. 88, No. 319, 2351-2381 (2019). Reviewer: Ilia V. Boikov (Penza) MSC: 42A85 44A35 33C05 33C20 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Elsey, Matt; Esedoġlu, Selim Threshold dynamics for anisotropic surface energies. (English) Zbl 1397.65156 Math. Comput. 87, No. 312, 1721-1756 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65M12 35K93 53C44 42A85 × Cite Format Result Cite Review PDF Full Text: DOI
Sørevik, Tor Good low degree rank-1 lattice rules of high dimension. (English) Zbl 1335.65005 Math. Comput. 85, No. 300, 1821-1835 (2016). MSC: 65C05 65D32 42A10 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function. (English) Zbl 1315.41015 Math. Comput. 84, No. 292, 803-813 (2015). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 11M35 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Adcock, Ben; Hansen, Anders C. Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients. (English) Zbl 1312.41010 Math. Comput. 84, No. 291, 237-270 (2015). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A25 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Fayed, Hatem A.; Atiya, Amir F. A novel series expansion for the multivariate normal probability integrals based on Fourier series. (English) Zbl 1298.42004 Math. Comput. 83, No. 289, 2385-2402 (2014). MSC: 42A16 62H86 × Cite Format Result Cite Review PDF Full Text: DOI
Bayad, A.; Chikhi, J. Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers. (English) Zbl 1276.11029 Math. Comput. 82, No. 284, 2327-2332 (2013). MSC: 11B68 11A25 11B73 42A16 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Coffey, Mark W.; Csordas, George On the log-concavity of a Jacobi theta function. (English) Zbl 1278.30028 Math. Comput. 82, No. 284, 2265-2272 (2013). Reviewer: Olga M. Katkova (Wellesley) MSC: 30D15 42A38 30C15 30D10 26C10 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1268.11033 Math. Comput. 81, No. 279, 1707-1722 (2012). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B68 42A10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jorgensen, Palle E. T. Ergodic scales in fractal measures. (English) Zbl 1246.42002 Math. Comput. 81, No. 278, 941-955 (2012). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 42A15 28A80 43A10 47A35 60G10 × Cite Format Result Cite Review PDF Full Text: DOI
Batenkov, Dmitry; Yomdin, Yosef Algebraic Fourier reconstruction of piecewise smooth functions. (English) Zbl 1237.42003 Math. Comput. 81, No. 277, 277-318 (2012). MSC: 42A16 65T40 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peherstorfer, Franz Positive trigonometric quadrature formulas and quadrature on the unit circle. (English) Zbl 1221.42003 Math. Comput. 80, No. 275, 1685-1701 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42A15 41A55 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beckermann, Bernhard; Kalyagin, Valeriy; Matos, Ana C.; Wielonsky, Franck How well does the Hermite-Padé approximation smooth the Gibbs phenomenon? (English) Zbl 1223.41008 Math. Comput. 80, No. 274, 931-958 (2011). MSC: 41A21 41A20 41A28 42A16 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Adcock, Ben Convergence acceleration of modified Fourier series in one or more dimensions. (English) Zbl 1216.65188 Math. Comput. 80, No. 273, 225-261 (2011). Reviewer: Ferenc Móricz (Szeged) MSC: 65T40 42A20 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Qiu-Ming Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1214.11032 Math. Comput. 78, No. 268, 2193-2208 (2009). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B68 11M35 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Arias de Reyna, J.; van de Lune, J. High precision computation of a constant in the theory of trigonometric series. (English) Zbl 1202.42003 Math. Comput. 78, No. 268, 2187-2191 (2009). MSC: 42-04 42A05 11Y60 65H05 26D05 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Olver, Sheehan On the convergence rate of a modified Fourier series. (English) Zbl 1204.65166 Math. Comput. 78, No. 267, 1629-1645 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42A20 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. Stieltjes-type polynomials on the unit circle. (English) Zbl 1198.65049 Math. Comput. 78, No. 266, 969-997 (2009). MSC: 65D32 42A10 42C05 30E20 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Jinyuan On the collocation methods for singular integral equations with Hilbert kernel. (English) Zbl 1198.65054 Math. Comput. 78, No. 266, 891-928 (2009). MSC: 65E05 65J10 41A55 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Wenchang Local sampling theorems for spaces generated by splines with arbitrary knots. (English) Zbl 1198.65259 Math. Comput. 78, No. 265, 225-239 (2009). MSC: 65T40 94A20 42A65 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Huybrechs, Daan; Vandewalle, Stefan The construction of cubature rules for multivariate highly oscillatory integrals. (English) Zbl 1128.65024 Math. Comput. 76, No. 260, 1955-1980 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A63 41A55 42A16 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Tanner, Jared Optimal filter and mollifier for piecewise smooth spectral data. (English) Zbl 1095.65119 Math. Comput. 75, No. 254, 767-790 (2006). Reviewer: Ferenc Móricz (Szeged) MSC: 65T40 42A10 42A16 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xingping Strictly positive definite functions on the unit circle. (English) Zbl 1068.42008 Math. Comput. 74, No. 250, 709-721 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 42A82 42A15 33C45 33C55 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Dryanov, D. P.; Qazi, M. A.; Rahman, Q. I. Local behaviour of polynomials. (English) Zbl 1053.42001 Math. Comput. 73, No. 247, 1345-1364 (2004). Reviewer: Ferenc Móricz (Szeged) MSC: 42A05 26D05 30C10 30A10 × Cite Format Result Cite Review PDF Full Text: DOI
Lyness, J. N.; Sørevik, T. Four-dimensional lattice rules generated by skew-circulant matrices. (English) Zbl 1035.65026 Math. Comput. 73, No. 245, 279-295 (2004). Reviewer: D. Acu (Sibiu) MSC: 65D32 42A10 41A55 41A63 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Xuli Piecewise quadratic trigonometric polynomial curves. (English) Zbl 1072.65019 Math. Comput. 72, No. 243, 1369-1377 (2003). MSC: 65D17 65T40 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Sidi, Avram A convergence and stability study of the iterated Lubkin transformation and the \(\theta\)-algorithm. (English) Zbl 1014.65003 Math. Comput. 72, No. 241, 419-433 (2003). Reviewer: Antonio López-Carmona (Granada) MSC: 65B05 40A05 40A25 42A20 30B10 65B10 × Cite Format Result Cite Review PDF Full Text: DOI
Cools, Ronald; Lyness, James N. Three- and four-dimensional \(K\)-optimal lattice rules of moderate trigonometric degree. (English) Zbl 0985.41020 Math. Comput. 70, No. 236, 1549-1567 (2001). Reviewer: D.S.Lubinsky (Wits) MSC: 41A55 41A63 42A10 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Peter; Mossinghoff, Michael Rudin-Shapiro-like polynomials in \(L_4\). (English) Zbl 1042.11046 Math. Comput. 69, No. 231, 1157-1166 (2000). MSC: 11B83 42A05 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Spitkovsky, Ilya M.; Yong, Darryl Almost periodic factorization of certain block triangular matrix functions. (English) Zbl 0955.47016 Math. Comput. 69, No. 231, 1053-1070 (2000). Reviewer: A.Sołtysiak (Poznań) MSC: 47A68 47-04 42A75 65F05 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Boumenir, Amin Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem. (English) Zbl 0920.34068 Math. Comput. 68, No. 227, 1057-1066 (1999). MSC: 34L15 34B24 42A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gröchenig, Karlheinz Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type. (English) Zbl 1043.42001 Math. Comput. 68, No. 226, 749-765 (1999). MSC: 42A10 30E10 94A05 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Eckhoff, Knut S. On a high order numerical method for functions with singularities. (English) Zbl 0895.65067 Math. Comput. 67, No. 223, 1063-1087 (1998). Reviewer: F.Móricz (Szeged) MSC: 65T40 42A16 65N35 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Fassbender, Heike On numerical methods for discrete least-squares approximation by trigonometric polynomials. (English) Zbl 0864.65096 Math. Comput. 66, No. 218, 719-741 (1997). MSC: 65T40 42A10 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Gelb, Anne The resolution of the Gibbs phenomenon for spherical harmonics. (English) Zbl 0863.42004 Math. Comput. 66, No. 218, 699-717 (1997). MSC: 42A10 41A10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Osipenko, K. Yu.; Wilderotter, K. Optimal information for approximating periodic analytic functions. (English) Zbl 0891.65022 Math. Comput. 66, No. 220, 1579-1592 (1997). Reviewer: W.Govaerts (Gent) MSC: 65E05 30E10 30D50 42A16 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Ron, Amos; Sun, Xingping Strictly positive definite functions on spheres in Euclidean spaces. (English) Zbl 0853.42018 Math. Comput. 65, No. 216, 1513-1530 (1996). MSC: 42B99 42A82 33C55 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Quak, Ewald Trigonometric wavelets for Hermite interpolation. (English) Zbl 0873.42024 Math. Comput. 65, No. 214, 683-722 (1996). MSC: 42C40 42A15 41A05 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Eckhoff, Knut S. Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions. (English) Zbl 0830.65144 Math. Comput. 64, No. 210, 671-690 (1995). Reviewer: G.Steidl (Darmstadt) MSC: 65T40 42A10 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Cvijović, Djurdje; Klinowski, Jacek Closed-form summation of some trigonometric series. (English) Zbl 0824.42002 Math. Comput. 64, No. 209, 205-210 (1995). Reviewer: P.Chandra (Ujjain) MSC: 42A24 65B10 33E20 42A32 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
McLean, W. Numerical evaluation of some trigonometric series. (English) Zbl 0812.65143 Math. Comput. 63, No. 207, 271-275 (1994). Reviewer: V.Burjan (Praha) MSC: 65T40 42A16 65N38 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Faridani, Adel A generalized sampling theorem for locally compact abelian groups. (English) Zbl 0808.65144 Math. Comput. 63, No. 207, 307-327 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65T40 65D32 94A12 43A25 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Di Natale, M.; Gotusso, L.; Pavani, R.; Roux, D. On the choice of parameter in a method for the inversion of Fourier series. (English) Zbl 0770.42006 Math. Comput. 58, No. 198, 737-744 (1992). Reviewer: L.Gatteschi (Torino) MSC: 42A20 65T99 × Cite Format Result Cite Review PDF Full Text: DOI
Reichel, L.; Ammar, G. S.; Gragg, W. B. Discrete least squares approximation by trigonometric polynomials. (English) Zbl 0733.65102 Math. Comput. 57, No. 195, 273-289 (1991). Reviewer: Sun Yongsheng (Beijing) MSC: 65T40 65D10 65F30 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Steidl, G.; Tasche, M. A polynomial approach to fast algorithms for discrete Fourier-cosine and Fourier-sine transforms. (English) Zbl 0725.65145 Math. Comput. 56, No. 193, 281-296 (1991). Reviewer: H.P.Dikshit (Jabalpur) MSC: 65T50 42A10 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Hasegawa, Takemitsu; Torii, Tatsuo; Sugiura, Hiroshi An algorithm based on the FFT for a generalized Chebyshev interpolation. (English) Zbl 0685.65003 Math. Comput. 54, No. 189, 195-210 (1990). Reviewer: A.de Castro MSC: 65D05 41A05 65D32 42A15 × Cite Format Result Cite Review PDF Full Text: DOI
Creutzburg, R.; Tasche, M. Parameter determination for complex number-theoretic transforms using cyclotomic polynomials. (English) Zbl 0675.94002 Math. Comput. 52, No. 185, 189-200 (1989). Reviewer: I.F.Blake MSC: 94A11 11R04 11R09 42A38 65E05 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wei; Gottlieb, David; Shu, Chi-Wang Essentially nonoscillatory spectral Fourier methods for shock wave calculations. (English) Zbl 0666.65067 Math. Comput. 52, No. 186, 389-410 (1989). Reviewer: V.Subba Rao MSC: 65M60 65T40 42A10 35L67 35L65 65D15 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Swarztrauber, Paul N. Symmetric FFTs. (English) Zbl 0615.42008 Math. Comput. 47, 323-346 (1986). MSC: 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Kiper, Ayşe Fourier series coefficients for powers of the Jacobian elliptic functions. (English) Zbl 0561.33001 Math. Comput. 43, 247-259 (1984). Reviewer: K.S.Kölbig MSC: 33E05 42A16 65D20 × Cite Format Result Cite Review PDF Full Text: DOI
Massidda, Vittorio Analytical calculation of a class of integrals containing exponential and trigonometric functions. (English) Zbl 0566.33001 Math. Comput. 41, 555-557 (1983). MSC: 33B10 42A16 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lund, John Sinc function quadrature rules for the Fourier integral. (English) Zbl 0532.65095 Math. Comput. 41, 103-113 (1983). Reviewer: F.Móricz MSC: 65T40 65R10 42A16 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Lucas, Thomas R. A posteriori improvements for interpolating periodic splines. (English) Zbl 0531.41007 Math. Comput. 40, 243-251 (1983). Reviewer: G.Meinardus MSC: 41A15 41A05 65D07 65D05 41A60 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Lax, M.; Agrawal, G. P. Evaluation of Fourier integrals using B-splines. (English) Zbl 0527.65094 Math. Comput. 39, 535-548 (1982). MSC: 65T40 65D32 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Levin, David Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations. (English) Zbl 0482.65013 Math. Comput. 38, 531-538 (1982). MSC: 65D32 42A38 65R10 41A55 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Locher, F. Interpolation on uniform meshes by the translates of one function and related attenuation factors. (English) Zbl 0517.42004 Math. Comput. 37, 403-416 (1981). MSC: 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ting, Bing-Yuan; Luke, Yudell L. Computation of integrals with oscillatory and singular integrands. (English) Zbl 0495.65008 Math. Comput. 37, 169-183 (1981). MSC: 65D32 65T40 42A16 41A55 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Fornberg, Bengt A vector implementation of the fast Fourier transform algorithm. (English) Zbl 0455.65090 Math. Comput. 36, 189-191 (1981). MSC: 65T40 68Q25 42A15 68N25 × Cite Format Result Cite Review PDF Full Text: DOI
Babb, Stanley E. jun.; Cafky, James W. Operational evaluation of certain infinite Bessel function integrals. (English) Zbl 0417.44007 Math. Comput. 33, 1033-1039 (1979). MSC: 44A20 42A38 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Korn, David G.; Lambiotte, Jules J. jun. Computing the fast Fourier transform on a vector computer. (English) Zbl 0407.65059 Math. Comput. 33, 977-992 (1979). MSC: 65T40 42A15 68Q25 68W99 × Cite Format Result Cite Review PDF Full Text: DOI
Stenger, Frank A ”Sinc-Galerkin” method of solution of boundary value problems. (English) Zbl 0402.65053 Math. Comput. 33, 85-109 (1979). MSC: 65L10 65N30 65N35 33B10 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Schmidt, Paul W. An asymptotic approximation for a type of Fourier integral. (English) Zbl 0397.41016 Math. Comput. 32, 1171-1182 (1978). MSC: 41A60 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Walker, P. L. On an integral summable to \(2\xi(s)/s(s-1)\). (English) Zbl 0393.10044 Math. Comput. 32, 1311-1313 (1978). MSC: 11M06 42A38 42-04 × Cite Format Result Cite Review PDF Full Text: DOI
Winograd, S. On computing the discrete Fourier transform. (English) Zbl 0374.68034 Math. Comput. 32, 175-199 (1978). MSC: 68W99 68Q25 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Preparata, F. P.; Sarwate, D. V. Computational complexity of Fourier transforms over finite fields. (English) Zbl 0365.68053 Math. Comput. 31, 740-751 (1977). MSC: 68Q25 42A38 42A85 11T55 68W99 94B99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jerri, A. J. Computations of the Hill functions of higher order. (English) Zbl 0363.65013 Math. Comput. 31, 481-484 (1977). MSC: 65D20 41A15 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Shaw, J. K.; Johnson, L. W.; Riess, R. D. Accelerating convergence of eigenfunction expansions. (English) Zbl 0332.65052 Math. Comput. 30, 469-477 (1976). MSC: 65L15 65D15 65J05 42A16 41A10 34L99 × Cite Format Result Cite Review PDF Full Text: DOI
Shreve, David C. L\(^p\) approximation of Fourier transforms and certain interpolating splines. (English) Zbl 0294.41007 Math. Comput. 28, 779-787 (1974). MSC: 41A05 41A15 42A38 42A45 41A25 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Snider, Arthur David; Fleming, Gary Charles Approximation by aliasing with application to ’certaine’ stiff differential equations. (English) Zbl 0293.65054 Math. Comput. 28, 465-473 (1974). MSC: 65L05 42A10 42A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lyness, J. N. Computational techniques based on the Lanczos representation. (English) Zbl 0271.41006 Math. Comput. 28, 81-123 (1974). MSC: 41A10 42A10 65B15 65D15 × Cite Format Result Cite Review PDF Full Text: DOI
Page, R. L. On computing some extremal periodic positive-definite functions. (English) Zbl 0282.65055 Math. Comput. 27, 345-353 (1973). MSC: 65K05 42A82 90C90 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
McNolty, Frank Some probability density functions and their characteristic functions. (English) Zbl 0282.65026 Math. Comput. 27, 495-504 (1973). MSC: 65E05 60G50 33C10 44A20 33C05 33E99 42A61 × Cite Format Result Cite Review PDF Full Text: DOI
Linz, Peter; Kropp, T. E. A note on the computation of integrals involving products of trigonometric and Bessel functions. (English) Zbl 0271.65017 Math. Comput. 27, 871-872 (1973). MSC: 65D30 65M99 65N99 42A38 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, P. D.; Elliott, David Coefficients in series expansions for certain classes of functions. (English) Zbl 0256.42012 Math. Comput. 26, 213-232 (1972). MSC: 42C10 44A10 42A16 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Osler, Thomas J. The integral analog of the Leibniz rule. (English) Zbl 0256.26006 Math. Comput. 26, 903-915 (1972). MSC: 26A33 44A45 33C05 42A38 26A06 × Cite Format Result Cite Review PDF Full Text: DOI
Osler, Thomas J. An integral analogue of Taylor’s series and its use in computing Fourier transforms. (English) Zbl 0244.26004 Math. Comput. 26, 449-460 (1972). MSC: 26A33 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Lyness, J. N. The calculation of Fourier coefficients by the Möbius inversion of the Poisson summation formula. II: Piecewise continuous functions and functions with poles near the interval [0,1]. III: Functions having algebraic singularities. (English) Zbl 0237.65091 Math. Comput. 25, 59-78, 483-493 (1971). MSC: 65T40 65D30 42A10 × Cite Format Result Cite Review PDF Full Text: DOI