On E-discretization of tori of compact simple Lie groups. II

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00316814" target="_blank" >RIV/68407700:21340/17:00316814 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4997520" target="_blank" >http://dx.doi.org/10.1063/1.4997520</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4997520" target="_blank" >10.1063/1.4997520</a>

Result language
angličtina
Original language name
On E-discretization of tori of compact simple Lie groups. II
Original language description
Ten types of discrete Fourier transforms of Weyl orbit functions are developed. Generalizing one-dimensional cosine, sine, and exponential, each type of the Weyl orbit function represents an exponential symmetrized with respect to a subgroup of the Weyl group. Fundamental domains of even affine and dual even affine Weyl groups, governing the argument and label symmetries of the even orbit functions, are determined. The discrete orthogonality relations are formulated on finite sets of points from the refinements of the dual weight lattices. Explicit counting formulas for the number of points of the discrete transforms are deduced. Real-valued Hartley orbit functions are introduced, and all ten types of the corresponding discrete Hartley transforms are detailed.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)