A new method for obtaining lower bounds for spherical t-designs is proposed. Applications and new bounds are given for t = 9, 10. Some restrictions on the distribution of the inne...
We find sharp absolute constants C1 and C2 with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle spann...
Spherical harmonic decomposition of wavefields is not only an active problem in acoustic signal processing but also a useful tool in a plethora of applications such as 3D beamform...
In this note we prove the uniqueness of the tight spherical 7-design in R23 consisting of 4600 vectors and with automorphism group 2 ? Co2 as well as the uniqueness of the tight s...