Miyazaki, Takuya; Saito, Yohei Theta lifts to certain cohomological representations of indefinite orthogonal groups. (English) Zbl 07818539 Res. Number Theory 10, No. 2, Paper No. 25, 27 p. (2024). Reviewer: Yi Shan (Paris) MSC: 11F55 11F27 11F30 11F37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Honda, Tatsuo; Oda, Hiroshi; Shimeno, Nobukazu Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\). (English) Zbl 1537.33018 J. Math. Soc. Japan 76, No. 1, 73-109 (2024). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 33C67 33C55 42A16 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hirao, Masatake; Nozaki, Hiroshi; Tasaka, Koji Spherical designs and modular forms of the \(D_4\) lattice. (English) Zbl 1536.11105 Res. Number Theory 9, No. 4, Paper No. 77, 18 p. (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 05B30 11P21 11F30 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hubbert, Simon; Jäger, Janin Generalised Wendland functions for the sphere. (English) Zbl 1530.42003 Adv. Comput. Math. 49, No. 1, Paper No. 3, 21 p. (2023). MSC: 42A16 42A82 42C10 33C55 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mildenberger, Sophie; Quellmalz, Michael Approximation properties of the double Fourier sphere method. (English) Zbl 1485.42011 J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022). MSC: 42B05 42C10 43A90 65T50 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yu Guang; Zhuang, Xiaosheng Tight framelets and fast framelet filter bank transforms on manifolds. (English) Zbl 1447.42033 Appl. Comput. Harmon. Anal. 48, No. 1, 64-95 (2020). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C15 42C40 42B05 41A55 57N99 58C35 94A12 94C15 93C55 93C95 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashurov, Ravshan Generalized localization for spherical partial sums of multiple Fourier series. (English) Zbl 1431.42015 J. Fourier Anal. Appl. 25, No. 6, 3174-3183 (2019). Reviewer: Ioannis Parissis (Bilbao) MSC: 42B05 42B99 42B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guella, J. C.; Menegatto, V. A. Schoenberg’s theorem for positive definite functions on products: a unifying framework. (English) Zbl 1420.42005 J. Fourier Anal. Appl. 25, No. 4, 1424-1446 (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 42A82 43A35 33C50 33C55 42A16 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Bitsadze, L. Effective solutions of BVPs of the linear theory of thermoelasticity with microtemperatures. (English) Zbl 1513.74075 Semin. I. Vekua Inst. Appl. Math., Rep. 43, 3-16 (2017). MSC: 74F05 35E05 35Q74 × Cite Format Result Cite Review PDF Full Text: Link
Prestin, Jürgen; Wülker, Christian Fast Fourier transforms for spherical Gauss-Laguerre basis functions. (English) Zbl 1453.65467 Pesenson, Isaac (ed.) et al., Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Basel: Birkhäuser/Springer. Appl. Numer. Harmon. Anal., 237-263 (2017). MSC: 65T50 42A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marinucci, Domenico; Vadlamani, Sreekar High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphere. (English) Zbl 1334.60089 Ann. Appl. Probab. 26, No. 1, 462-506 (2016). MSC: 60G60 62M15 53C65 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Terras, Audrey Harmonic analysis on symmetric spaces – higher rank spaces, positive definite matrix space and generalizations. 2nd edition. (English) Zbl 1351.43001 New York, NY: Springer (ISBN 978-1-4939-3406-5/hbk; 978-1-4939-3408-9/ebook). xv, 487 p. (2016). Reviewer: Shuyang Cheng (Chicago) MSC: 43-02 43A85 11F60 11F30 11F66 22E30 22E40 22F30 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V. On the mean spherical convergence and summability of multiple Fourier trigonometric series. (English) Zbl 1333.42007 Proc. A. Razmadze Math. Inst. 167, 138-141 (2015). MSC: 42B08 42B05 42B15 42B35 42B30 46E30 × Cite Format Result Cite Review PDF
Bernicot, Frédéric; Grafakos, Loukas; Song, Liang; Yan, Lixin The bilinear Bochner-Riesz problem. (English) Zbl 1327.42013 J. Anal. Math. 127, 179-217 (2015). MSC: 42B15 42B08 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hayata, Takahiro; Koseki, Harutaka; Miyazaki, Tadashi; Oda, Takayuki Matrix coefficients of discrete series representations of \(\mathrm{SU}(3,1)\). (English) Zbl 1316.22008 J. Lie Theory 25, No. 1, 271-306 (2015). Reviewer: Suparna Sen (Kolkata) MSC: 22E30 22E45 43A90 × Cite Format Result Cite Review PDF Full Text: Link
Kumar, Devendra; Singh, Rajbir Generalized growth of harmonic functions in hyper spheres. (English) Zbl 1290.31004 Transylv. J. Math. Mech. 5, No. 1, 45-57 (2013). MSC: 31B05 × Cite Format Result Cite Review PDF
Kumar, D. Growth of harmonic functions in \(\mathbb R^4\). (English) Zbl 1277.31006 Tamsui Oxf. J. Inf. Math. Sci. 28, No. 2, 111-125 (2012). MSC: 31B05 × Cite Format Result Cite Review PDF
Oda, Takayuki Matrix coefficients of the large discrete series representations of \(\operatorname{Sp}(2;\mathbb{R})\) as hypergeometric series of two variables. (English) Zbl 1262.22003 Nagoya Math. J. 208, 201-263 (2012). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E30 22E45 43A90 33C65 × Cite Format Result Cite Review PDF Full Text: Euclid
Krötz, Bernhard; Schlichtkrull, Henrik On function spaces on symmetric spaces. (English) Zbl 1261.43006 Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 1-8 (2012). Reviewer: Veronique Fischer (London) MSC: 43A85 43A90 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Plakhov, Alexander; Samko, Stefan An inverse problem of Newtonian aerodynamics. (English) Zbl 1283.42006 Math. Eng. Sci. Aerosp. MESA 1, No. 4, 351-369 (2010). MSC: 42A16 42B15 42C99 43A90 70F17 × Cite Format Result Cite Review PDF Full Text: Link
Menegatto, V. A.; Piantella, A. C. Convergence for summation methods with multipliers on the sphere. (English) Zbl 1207.33018 Numer. Funct. Anal. Optim. 31, No. 6, 738-753 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C55 41A25 42A16 42A85 43A90 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Benson, Chal; Ratcliff, Gail Combinatorial properties of generalized binomial coefficients. (English) Zbl 1205.22007 Gordon, Carolyn S. (ed.) et al., New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, Córdoba, Argentina, November 13–17, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4651-3/pbk). Contemporary Mathematics 491, 141-150 (2009). Reviewer: Bala Sury (Bangalore) MSC: 22E30 05A10 05E15 43A90 × Cite Format Result Cite Review PDF
Krötz, Bernhard Crown theory for the upper half plane. (English) Zbl 1201.22008 Ginzburg, David (ed.) et al., Automorphic forms and \(L\)-functions I. Global aspects. A workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday, Rehovot and Tel Aviv, Israel, May 15–19, 2006. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-4706-0/pbk). Israel Mathematical Conference Proceedings. Contemp. Math. 488, 147-182 (2009). Reviewer: Joachim Hilgert (Paderborn) MSC: 22E45 32E10 43A90 32N15 22E30 22E46 11F70 11F55 × Cite Format Result Cite Review PDF Full Text: arXiv
Srivastava, Girja S. Generalized growth of entire harmonic functions. (English) Zbl 1175.31003 Fasc. Math. 40, 79-89 (2008). Reviewer: Olof Svensson (Norrköping) MSC: 31B05 42A16 × Cite Format Result Cite Review PDF
Calixto, M.; Guerrero, J.; Sánchez-Monreal, J. C. Sampling theorem and discrete Fourier transform on the Riemann sphere. (English) Zbl 1268.42011 J. Fourier Anal. Appl. 14, No. 4, 538-567 (2008). MSC: 42B05 42C15 32A10 94A12 81R30 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Simons, Frederik J.; Dahlen, F. A.; Wieczorek, Mark A. Spatiospectral concentration on a sphere. (English) Zbl 1117.42003 SIAM Rev. 48, No. 3, 504-536 (2006). MSC: 42B05 42B35 45B05 47B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zaigraev, A. On asymptotic properties of multidimensional \(\alpha\)-stable densities. (English) Zbl 1106.60021 Math. Nachr. 279, No. 16, 1835-1854 (2006). MSC: 60E07 33C20 42B05 43A90 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Feng Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights. (English) Zbl 1129.42003 J. Funct. Anal. 235, No. 1, 137-170 (2006). MSC: 42B05 42C05 26D05 33C55 41A17 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Ion, Bogdan Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series. (English) Zbl 1103.33010 Adv. Math. 201, No. 1, 36-42 (2006). Reviewer: Vesselin Drensky (Sofia) MSC: 33D52 22E35 43A90 05E05 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Menegatto, V. A.; Piantella, A. C. Approximation on the sphere by weighted Fourier expansions. (English) Zbl 1128.42001 J. Appl. Math. 2005, No. 4, 321-339 (2005). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 42A10 41A63 42A16 43A85 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Mouayn, Zouhaïr Poisson integral representation of some eigenfunctions of Landau Hamiltonian on the hyperbolic disk. (English) Zbl 1136.31302 Bull. Belg. Math. Soc. - Simon Stevin 12, No. 2, 249-257 (2005). MSC: 31A15 31A35 32M15 33C55 42A16 44A05 × Cite Format Result Cite Review PDF Full Text: Euclid
Tsoulis, D.; Stary, B. An isostatically compensated gravity model using spherical layer distributions. (English) Zbl 1068.86004 J. Geod. 78, No. 7-8, 418-424 (2005). MSC: 86A30 × Cite Format Result Cite Review PDF Full Text: DOI
Groemer, H. 100 years of Fourier series and spherical harmonics in convexity. (English) Zbl 1073.42003 Brandolini, Luca (ed.) et al., Fourier analysis and convexity. Boston, MA: Birkhäuser (ISBN 0-8176-3263-8/hbk). Applied and Numerical Harmonic Analysis, 97-118 (2004). MSC: 42A16 52A20 42-03 52-03 01A60 × Cite Format Result Cite Review PDF
Tscherning, C. C. A study of the aliasing of spherical harmonic coefficients. (English) Zbl 1079.65555 Kühtreiber, Norbert (ed.), Festschrift dedicated to the 70th birthday of Helmut Moritz. Graz: Technische Universität Graz, Institut für Geodäsie. 201-216 (2003). MSC: 65Z05 83B05 83-08 × Cite Format Result Cite Review PDF
Tscherning, C. C. Computation of spherical harmonic coefficients and their error estimates using least-squares collocation. (English) Zbl 1049.86509 J. Geod. 75, No. 1, 12-18 (2001). MSC: 86A30 86-08 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Quanshui; Zou, Wennan Orientation distribution functions for microstructures of heterogeneous materials. I: Directional distribution functions and irreducible tensors. (English) Zbl 1021.74005 Appl. Math. Mech., Engl. Ed. 22, No. 8, 865-884 (2001). Reviewer: Hans Bufler (Gräfelfing) MSC: 74E05 74E15 82D25 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Cherednik, Ivan On \(q\)-analogues of Riemann’s zeta function. (English) Zbl 1001.11033 Sel. Math., New Ser. 7, No. 4, 447-491 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11M41 05A30 33D05 33E99 11B65 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Terekhin, A. P. Spherical analog of the complex form of trigonometric Fourier series; approximation. (English. Russian original) Zbl 0985.42016 Math. Notes 67, No. 5, 646-656 (2000); translation from Mat. Zametki 67, No. 5, 764-777 (2000). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42C15 41A63 41A58 42A16 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Ash, J. Marshall Uniqueness for spherically convergent multiple trigonometric series. (English) Zbl 0978.42014 Anastassiou, George (ed.), Handbook of analytic-computational methods in applied mathematics. Boca Raton, FL: Chapman & Hall/CRC. 309-355 (2000). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B99 42B05 42A63 60J65 03E25 × Cite Format Result Cite Review PDF
Agranovsky, Mark On a problem of injectivity for the Radon transform on a paraboloid. (English) Zbl 0962.44001 Grinberg, E. L. (ed.) et al., Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 251, 1-14 (2000). Reviewer: Boris Rubin (Jerusalem) MSC: 44A12 42A16 35J10 × Cite Format Result Cite Review PDF
Hayata, Takahiro; Koseki, Harutaka; Oda, Takayuki Matrix coefficients of the principal \(P_J\)-series and the middle discrete series of \(\mathrm{SU}(2,2)\). (English) Zbl 0993.22015 Kobayashi, Toshiyuki (ed.) et al., Analysis on homogeneous spaces and representation theory of Lie groups. Based on activities of the RIMS Project Research ’97, Okayama-Kyoto, Japan, during July and August 1997. Tokyo: Kinokuniya Company Ltd. Adv. Stud. Pure Math. 26, 49-75 (2000). Reviewer: Angela A.Pasquale (MR 2001i:22015) MSC: 22E46 43A90 × Cite Format Result Cite Review PDF
Ash, J. Marshall; Wang, Gang Some spherical uniqueness theorems for multiple trigonometric series. (English) Zbl 0955.42010 Ann. Math. (2) 151, No. 1, 1-33 (2000). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B05 42B08 42A63 42B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML Link
Nikol’skij, S. M. A boundary value problem for polynomials. (English. Russian original) Zbl 1018.35025 Proc. Steklov Inst. Math. 227, 217-230 (1999); translation from Tr. Mat. Inst. Steklova 227, 223-236 (1999). MSC: 35J40 35J35 31B05 35E99 × Cite Format Result Cite Review PDF
Rösler, Margit; Voit, Michael An uncertainty principle for ultraspherical expansions. (English) Zbl 0888.43008 J. Math. Anal. Appl. 209, No. 2, 624-634 (1997). Reviewer: G.V.Wood MSC: 43A75 43A90 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kuznetsov, G. I.; Moskaliuk, S. S.; Smirnov, Yu. F. Graphical theory of representations of orthogonal, unitary and symplectic groups. (English) Zbl 0845.22008 Moskaliuk, S. S. (ed.), Group theoretical methods in physics. Proceedings of the eleventh international Hutsulian workshop, Rakhiv, Ukraine, October 25-31, 1992. Palm Harbor, FL: Hadronic Press. 23-92 (1995). Reviewer: F.M.Ragab (Cairo) MSC: 22E70 22E45 81R05 × Cite Format Result Cite Review PDF
Zheng, Xuean Harmonic analysis on compact Lie groups and compact homogeneous spaces in China. (English) Zbl 0846.43006 Cheng, Minde (ed.) et al., Harmonic analysis in China. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 327, 266-286 (1995). Reviewer: Su Weiyi (Nanjing) MSC: 43A80 × Cite Format Result Cite Review PDF
Sneeuw, N. J. Spectral computations on the sphere using 2D-Fourier methods. (English) Zbl 0850.65024 Z. Angew. Math. Mech. 75, Suppl. 2, S669-S670 (1995). MSC: 65D20 65T40 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Vilenkin, N. Ja.; Klimyk, A. U. Representation of Lie groups and special functions. Recent advances. Transl. from the Russian by V. A. Groza a. A. A. Groza. (English) Zbl 0826.22001 Mathematics and its Applications (Dordrecht). 316. Dordrecht: Kluwer Academic Publishers. xvi, 497 p. (1994). Reviewer: W.Miller jun.(Minneapolis) MSC: 22-02 22E45 43A65 33D80 33C80 17B65 11F70 33D70 × Cite Format Result Cite Review PDF
Pedersen, Paul S. A function theory for finding a basis for all polynomial solutions to linear constant coefficient PDE’s of homogeneous order. (English) Zbl 0793.31003 Complex Variables, Theory Appl. 24, No. 1-2, 79-87 (1994). Reviewer: P.S.Pedersen (Los Alamos) MSC: 31B35 35E20 30G30 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Korevaar, J.; Meyers, J. L. H. Spherical Faraday cage for the case of equal point charges and Chebyshev- type quadrature on the sphere. (English) Zbl 0823.41026 Integral Transforms Spec. Funct. 1, No. 2, 105-117 (1993). MSC: 41A50 41A55 41A80 78A30 31A05 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
El Harchaoui, Mimoun Inversion of the Pompeiu transformation in the hyperbolic disk. (Case of two disks). (Inversion de la transformation de Pompeiu dans le disque hyperbolique. (Cas de deux disques).) (French) Zbl 0817.43005 Publ. Mat., Barc. 37, No. 1, 133-164 (1993). Reviewer: C.A.Berenstein (College Park) MSC: 43A85 43A90 43A80 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vilenkin, N. Ya.; Klimyk, A. U. Representation of Lie groups and special functions. Volume 3: Classical and quantum groups and special functions. Transl. from the Russian by V. A. Groza and A. A. Groza. (English) Zbl 0778.22001 Mathematics and Its Applications. Soviet Series. 75. Dordrecht: Kluwer Academic Publishers Group. xix, 629 p. (1992). Reviewer: W.Miller jun.(Minneapolis) MSC: 22-02 33C80 33D80 17B37 43A65 11F22 22E45 17B67 × Cite Format Result Cite Review PDF
Vilenkin, N. Ya.; Klimyk, A. U. Representation of Lie groups and special functions. Volume 1: Simplest Lie groups, special functions and integral transforms. Transl. from the Russian by V. A. Groza and A. A. Groza. (English) Zbl 0742.22001 Mathematics and Its Applications. Soviet Series. 72. Dordrecht etc.: Kluwer Academic Publishers. xxiii, 608 p. (1991). Reviewer: W.Miller jun.(Minneapolis) MSC: 22-02 22E45 43A65 33C80 × Cite Format Result Cite Review PDF
Hanna, J. Ray; Rowland, John H. Fourier series, transforms, and boundary value problems. 2nd ed. (English) Zbl 0721.42001 Pure and Applied Mathematics: A Wiley-Interscience Series. New York etc.: John Wiley & Sons, Inc. xii, 354 p. £43.65 (1990). Reviewer: St.Balint (Timişoara) MSC: 42-01 42A16 34B10 42A38 34A30 42C05 42C30 × Cite Format Result Cite Review PDF
Kawazoe, Takeshi; Miyazaki, Hiroshi Fourier series with nonnegative coefficients on compact semisimple Lie groups. (English) Zbl 0729.43009 Tokyo J. Math. 12, No. 1, 241-246 (1989). Reviewer: Diep Do Ngoc (Hanoi) MSC: 43A77 22E46 43A30 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Yudin, V. A. Spherical sums of Fourier series in \(L_ p\). (English. Russian original) Zbl 0708.42008 Math. Notes 46, No. 2, 675-680 (1989); translation from Mat. Zametki 46, No. 2, 145-152 (1989). Reviewer: A.L.Brodskij MSC: 42B05 42B15 42B10 42A24 × Cite Format Result Cite Review PDF Full Text: DOI
Alimov, Sh. A.; Ashurov, R. R.; Pulatov, A. K. Multiple Fourier series and Fourier integrals. (English. Russian original) Zbl 0782.42012 Commutative harmonic analysis. IV: Harmonic analysis in \({\mathbb{R}}^ n\). Encycl. Math. Sci. 42, 1-95 (1992); translation from Itogi Nauki Tekh., Ser. Sovrem. Propl. Mat., Fundam. Napravleniya 42, 7-104 (1989). MSC: 42B05 42-02 42B10 42B15 × Cite Format Result Cite Review PDF
Stein, Elias M. Problems in harmonic analysis related to curvature and oscillatory integrals. (English) Zbl 0718.42012 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 196-221 (1987). Reviewer: R. Lasser (München) MSC: 42A50 42A20 43A80 42B20 × Cite Format Result Cite Review PDF
Allouche, Jean-Paul Finite automata in number theory. (Automates finis en théorie des nombres.) (French) Zbl 0641.10041 Expo. Math. 5, 239-266 (1987). Reviewer: Ya. G. Berkovich MSC: 11B85 11K31 68Q70 11A63 42A61 20C30 05A17 33C55 × Cite Format Result Cite Review PDF
Ng, C. K. Frame transformation of spherical-harmonic coefficients of differential particle intensity. (English) Zbl 0628.70016 Astrophys. Space Sci. 126, 313-327 (1986). Reviewer: J.Spicker MSC: 70H99 83C40 70H40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kunyang Generalized spherical Riesz means of multiple Fourier series. (English) Zbl 0622.42008 Acta Math. Sin., New Ser. 2, No. 2, 178-202 (1986). Reviewer: B.Kuttner MSC: 42B05 42B99 × Cite Format Result Cite Review PDF Full Text: DOI
Dierckx, P. The spectral approximation of bicubic splines on the sphere. (English) Zbl 0618.65144 SIAM J. Sci. Stat. Comput. 7, 611-623 (1986). Reviewer: M.Gas[ ] MSC: 65T40 65D07 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ramm, A. G. On completeness of the products of harmonic functions. (English) Zbl 0602.35015 Proc. Am. Math. Soc. 98, 253-256 (1986). MSC: 35C10 35E20 × Cite Format Result Cite Review PDF Full Text: DOI
Nikiforov, A. F.; Suslov, S. K.; Uvarov, V. B. Classical orthogonal polynomials of a discrete variable. (Klassicheskie ortogonal’nye polinomy diskretnoj peremennoj). (Russian) Zbl 0576.33001 Moskva: “Nauka”. 216 p. R 1.70 (1985). Reviewer: M.Frumkin MSC: 33-01 33C45 42C05 × Cite Format Result Cite Review PDF
Terras, Audrey Special functions for the symmetric space of positive matrices. (English) Zbl 0574.10030 SIAM J. Math. Anal. 16, 620-640 (1985). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F27 11F30 43A85 33C80 32N15 43A90 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Smailov, E. S. (ed.) [Akishev, G. A.; Tul’kubaev, A. D.; Abdrasheva, G.; Bisaliev, E. Zh.; Kusainova, L. K.; Bokaev, N. A.; Esmaganbetov, M. G.; Zhajnibekova, M. A.; Zhantlesov, Zh. Kh.; Ibraimkulov, A. M.; Il’ysov, Sh. I.; Imambaeva, B. D.; Seksenbaeva, A. K.; Novitskaya, A. M.; Lukashenko, S. Yu.; Lukashenko, T. P.; Ryazonova, M. P.; Makazhanova, T. Kh.; Muratbekov, M. B.; Mynbaev, K. T.; Ospanov, K. N.; Tazabekov, S.; Askarov, A. A.; Ibatov, A.; Trenogin, V. A.; Khaseinov, K. A.] Current questions of function theory and of functional analysis. Collection of scientific works. (Sovremennye voprosy teorii funktsii i funktsional’nogo analiza. Sbornik nauchnyk trudov). (Russian) Zbl 0659.46001 Karaganda: Karagandinskij Gosudarstvennyj Universitet. 129 p. R. 1.20 (1984). MSC: 46-06 00Bxx 42-06 47-06 46E30 46E35 × Cite Format Result Cite Review PDF
Swarztrauber, Paul N. Software for the spectral analysis of scalar and vector functions on the sphere. (English) Zbl 0565.65085 Large scale scientific computation, Proc. Conf., Madison/Wis. 1983, 271-299 (1984). Reviewer: G.Jumarie MSC: 65T40 86A05 86A10 42B05 × Cite Format Result Cite Review PDF
Knickmeyer, Ernst Heinrich Eine approximative Lösung der allgemeinen linearen Geodätischen Randwertaufgabe durch Reihenentwicklungen nach Kugelfunktionen. (German) Zbl 0553.65093 Deutsche Geodät. Kommission Bayer. Akad. Wiss., Reihe C 304, 104 S. (1984). MSC: 65Z05 86-04 86A30 31B20 35J25 × Cite Format Result Cite Review PDF
Petrovskaya, M. S.; Lobkova, N. I. Stokes’ constants and the best approximations of the potential. (English) Zbl 0542.65084 Manuscr. Geod. 9, 45-76 (1984). MSC: 65Z05 65N35 86A30 35Q99 × Cite Format Result Cite Review PDF
Chujkova, N. A. Transformations of a Laplacian series in rotations of the coordinate system. (English) Zbl 0601.42023 Mosc. Univ. Phys. Bull. 38, No. 6, 85-92 (1983). MSC: 42C05 × Cite Format Result Cite Review PDF
Ellis, G. F. R.; Treciokas, R.; Matravers, D. R. Anisotropic solutions of the Einstein-Boltzmann equations. II: Some exact properties of the equations. (English) Zbl 0525.53041 Ann. Phys. 150, 487-503 (1983). MSC: 53B50 43A90 82B30 82B40 82B35 83C05 × Cite Format Result Cite Review PDF Full Text: DOI
Casselman, William; Milicic, Dragan Asymptotic behavior of matrix coefficients of admissible representations. (English) Zbl 0524.22014 Duke Math. J. 49, 869-930 (1982). MSC: 22E46 43A90 22E30 17B15 34M99 × Cite Format Result Cite Review PDF Full Text: DOI
Delanghe, R.; Sommen, F. Fourier analysis on the unit sphere: A hypercomplex approach. (English) Zbl 0492.42008 Contemp. Math. 11, 89-100 (1982). MSC: 42A16 30E25 46F15 43A99 46E20 30G25 × Cite Format Result Cite Review PDF Full Text: DOI
Volokhin, V. A. On application of an exact method of computation of singular and weakly singular integrals. (Russian) Zbl 0488.42019 Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 2(225), 17-23 (1981). MSC: 42B20 42A10 42A16 42A50 × Cite Format Result Cite Review PDF
Lu, Shanzhen Spherical integrals and convergence of spherical Riesz means. (Chinese) Zbl 0444.42011 Acta Math. Sin. 23, 609-623 (1980). MSC: 42B99 42B05 × Cite Format Result Cite Review PDF
Trombi, P. C. Asymptotic expansions of matrix coefficients: The real rank one case. (English) Zbl 0392.43011 J. Funct. Anal. 30, 83-105 (1978). MSC: 43A80 43A90 22E15 × Cite Format Result Cite Review PDF Full Text: DOI
Churchill, Ruel V.; Brown, James Ward Fourier series and boundary value problems. 3rd ed. (English) Zbl 0378.42001 Düsseldorf etc.: McGraw-Hill Book Company. VIII, 271 p. DM 46.20 (1978). MSC: 42-01 42A16 42A20 42C15 42A38 33C10 33C55 × Cite Format Result Cite Review PDF
Bonami, Aline; Clerc, Jean-Louis Sommes de Cesaro et multiplicateurs des développements en harmoniques spheriques. (French) Zbl 0236.42013 C. R. Acad. Sci., Paris, Sér. A 274, 1707-1709 (1972). MSC: 42B05 42A24 42C10 43A85 43A90 × Cite Format Result Cite Review PDF
Walter, Hans G. Association of spherical and ellipsoidal gravity coefficients of the Earth’s potential. (English) Zbl 0204.42202 Celestial Mech. 2, 389-397 (1970). Reviewer: A. E. Billington MSC: 31A15 86A20 × Cite Format Result Cite Review PDF Full Text: DOI