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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2006, Volume 18, Issue 1, Pages 162–186 (Mi aa64)

Construction of spherical cubature formulas using lattices
P. de la Harpe, C. Pache, B. Venkov

This publication is cited in the following articles:
  1. Kenji Tanino, Tomoki Tamaru, Masatake Hirao, Masanori Sawa, “More on the corner-vector construction for spherical designs”, Algebraic Combinatorics, 8:5 (2025), 1387  crossref
  2. Masatake Hirao, Hiroshi Nozaki, Koji Tasaka, “Spherical designs and modular forms of the $D_4$ lattice”, Res. number theory, 9:4 (2023)  crossref
  3. Hakova L., Hrivnak J., Motlochova L., “on Cubature Rules Associated to Weyl Group Orbit Functions”, Acta Polytech., 56:3 (2016), 202–213  crossref  isi  elib  scopus
  4. Sawa M., Xu Yu., “On Positive Cubature Rules on the Simplex and Isometric Embeddings”, Math. Comput., 83:287 (2014), 1251–1277  crossref  mathscinet  zmath  isi  scopus
  5. St. Petersburg Math. J., 25:4 (2014), 615–646  mathnet  crossref  mathscinet  zmath  isi  elib
  6. Eiichi Bannai, Tsuyoshi Miezaki, Developments in Mathematics, 31, Quadratic and Higher Degree Forms, 2013, 1  crossref
  7. E. Bannai, Ts. Miezaki, V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Izv. Math., 75:6 (2011), 1093–1106  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
  8. Bannai E., Bannaia E., Hiraob M., Sawab M., “Cubature formulas in numerical analysis and Euclidean tight designs”, European J. Combin., 31:2 (2010), 423–441  crossref  mathscinet  zmath  isi  scopus
  9. Bondarenko A.V., Viazovska M.S., “Spherical designs via Brouwer fixed point theorem”, SIAM J. Discrete Math., 24:1 (2010), 207–217  crossref  mathscinet  zmath  isi  elib  scopus
  10. Bannai E., Miezaki Ts., “Toy models for D. H. Lehmer's conjecture”, J Math Soc Japan, 62:3 (2010), 687–705  crossref  mathscinet  zmath  isi  scopus
  11. V. A. Yudin, “Invariants and Chebyshev polynomials”, Proc. Steklov Inst. Math., 265: suppl. 1 (2009), S227–S245  mathnet  crossref  isi  elib
  12. Bannai E., Bannai E., “A survey on spherical designs and algebraic combinatorics on spheres”, European J. Combin., 30:6 (2009), 1392–1425  crossref  mathscinet  zmath  isi  elib  scopus
  13. Bondarenko A. V., Viazovska M. S., “New asymptotic estimates for spherical designs”, J. Approx. Theory, 152:1 (2008), 101–106  crossref  mathscinet  zmath  isi  elib  scopus
  14. Scott A. J., “Optimizing quantum process tomography with unitary 2-designs”, J. Phys. A, 41:5 (2008), 055308, 26 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus


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