The Mellin Transform and Spectral Properties of Toric Varieties
✍ Scribed by Victor Guillemin; Zuoqin Wang
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2008
- Tongue
- English
- Weight
- 291 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1083-4362
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📜 SIMILAR VOLUMES
In this paper we prove that the Todd class of a simplicial toric variety has a canonical expression as a power series in the torus-invariant divisors. Given a resolution of singularities corresponding to a nonsingular subdivision of the fan, we give an explicit formula for this power series which yi
We deduce in an elementary way representations for the Mellin transform of a product of Bessel functions OF, [ -a2x2] and generalized hypergeometric functions &,+, [ -b2n2] for a, b > 0. As a corollary we obtain a transformation formula for P+rFp[l] which was discovered by Wimp in 1987 by using Bail