Zonal spherical function

노트

말뭉치

1. For zonal spherical functions see Spherical harmonics.
2. Zonal spherical functions have been explicitly determined for real semisimple groups by Harish-Chandra.
3. The abstract functional analytic theory of zonal spherical functions was first developed by Roger Godement.
4. For semisimple p-adic Lie groups, the theory of zonal spherical functions and Hecke algebras was first developed by Satake and Ian G. Macdonald.
5. Properties 2, 3 and 4 or properties 3, 4 and 5 characterize zonal spherical functions.

메타데이터

위키데이터

• ID : Q8073863

Spacy 패턴 목록

• [{'LOWER': 'cohen'}, {'OP': '*'}, {'LOWER': 'lenstra'}, {'LEMMA': 'heuristic'}]
• [{'LOWER': 'cohen'}, {'OP': '*'}, {'LEMMA': 'Lenstra'}]
• [{'LOWER': 'zonal'}, {'LOWER': 'spherical'}, {'LEMMA': 'function'}]

노트

말뭉치

1. Previous work characterized certain left coideal subalgebras in the quantized enveloping algebra and established an appropriate framework for quantum zonal spherical functions.
2. The zonal spherical functions are a broad extension of the notion of zonal spherical harmonics to allow for a more general symmetry group.
3. Zonal spherical functions have been explicitly determined for real semisimple groups by Harish-Chandra.
4. The abstract functional analytic theory of zonal spherical functions was first developed by Roger Godement.
5. For semisimple p-adic Lie groups, the theory of zonal spherical functions and Hecke algebras was first developed by Satake and Ian G. Macdonald.
6. Properties 2, 3 and 4 or properties 3, 4 and 5 characterize zonal spherical functions.
7. I tried to rotate zonal spherical function, projected onto spherical harmonic basis.
8. For zonal spherical functions see Spherical harmonics.
9. But to determine the explicitform of zonal spherical functions and the Plancherel measure, it seems necessary toknow the (infinite) matrix of this Fourier transformation more explicitly.
10. 3 zonal spherical functions k(x), k(y) = Gk(x, y), where Gk are Gegenbauer polynomials, zonal spherical functions associated with Harmk(Sd1).
11. 4 zonal spherical functions k(x), k(y) = Gk(x, y), where Gk are Gegenbauer polynomials, zonal spherical functions associated with Harmk(Sd1).

메타데이터

위키데이터

• ID : Q8073863

Spacy 패턴 목록

• [{'LOWER': 'cohen'}, {'OP': '*'}, {'LOWER': 'lenstra'}, {'LEMMA': 'heuristic'}]
• [{'LOWER': 'cohen'}, {'OP': '*'}, {'LEMMA': 'Lenstra'}]
• [{'LOWER': 'zonal'}, {'LOWER': 'spherical'}, {'LEMMA': 'function'}]