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Results 1 - 3 of 3 |
1. CJM 2008 (vol 60 pp. 241)
| Semi-Classical Wavefront Set and Fourier Integral Operators Here we define and prove some properties of the semi-classical
wavefront set. We also define and study semi-classical Fourier
integral operators and prove a generalization of Egorov's theorem to
manifolds of different dimensions.
Keywords:wavefront set, Fourier integral operators, Egorov theorem, semi-classical analysis Categories:35S30, 35A27, 58J40, 81Q20 |
2. CJM 2004 (vol 56 pp. 1068)
| Regular Embeddings of Generalized Hexagons We classify the generalized hexagons which are laxly
embedded in projective space such that the embedding is flat and
polarized. Besides the standard examples related to the hexagons
defined over the algebraic groups of type $\ssG_2$, $^3\ssD_4$ and
$^6\ssD_4$ (and occurring in projective dimensions $5,6,7$), we
find new examples in unbounded dimension related to the mixed
groups of type $\ssG_2$.
Keywords:Moufang generalized hexagons, embeddings, mixed hexagons, classical, hexagons Categories:51E12, 51A45 |
3. CJM 1997 (vol 49 pp. 520)
| Classical orthogonal polynomials as moments We show that the Meixner, Pollaczek, Meixner-Pollaczek, the continuous
$q$-ultraspherical polynomials and Al-Salam-Chihara polynomials, in
certain normalization, are moments of probability measures. We use
this fact to derive bilinear and multilinear generating functions for
some of these polynomials. We also comment on the corresponding formulas
for the Charlier, Hermite and Laguerre polynomials.
Keywords:Classical orthogonal polynomials, \ACP, continuous, $q$-ultraspherical polynomials, generating functions, multilinear, generating functions, transformation formulas, umbral calculus Categories:33D45, 33D20, 33C45, 30E05 |

