12 citations · 18 across the 7 of their papers we have counts for
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math.CV2003
Distribution laws for integrable eigenfunctions
Bernard Shiffman, Tatsuya Tate, Steve Zelditch
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kahler variety. Such varieties are models of completely integrable systems in complex geomet…
math.CV2003
Harmonic Analysis on Toric Varieties
B. Shiffman, T. Tate, S. Zelditch
Harmonic analysis on a toric Kahler variety M refers to the orthonormal basis of eigenfunctions of the complex torus action on the spaces H^0(M, L^N) of holomorphic sections of pow…
math.CV2003★ 1 cited
Random polynomials of high degree and Levy concentration of measure
B. Shiffman, S. Zelditch
We show that the L^p norms of random sequences {s_N} of L^2 normalized holomorphic sections of increasing powers of an ample line bundle on a compact Kahler manifold are almost sur…