Heat Kernels, Bergman Kernels, and Cusp Forms

Author:

Aryasomayajula Anilatmaja

Publisher

Springer Singapore

Reference7 articles.

1. [1] A. Aryasomayajula, Heat kernel approach for sup-norm bounds for cusp forms of integral and half-integral weight, Archiv der Mathematik 106, (2016), 165–173.

2. [2] R. J. Berman, Bergman kernels and local holomorphic Morse inequalities, Math. Z. 248, (2004), 325–344.

3. [3] T. Bouche, Asymptotic results for Hermitian line bundles over complex manifolds: The heat kernel approach, Higher-dimensional complex varieties, 67–81, de Gruyter, Berlin, 1996.

4. [4] E. M. Kiral, Bounds on Sup-norms of Half Integral Weight Modular Forms, Acta Arithmetica, Vol. 165, (2014), 385-399.

5. [5] J. Friedman, J. Jorgenson, and J. Kramer, Uniform sup-norm bounds on average for cusp forms of higher weights, To appear in Volume dedicated to the Memory of Friedrich Hirzebruch, Springer-Verlag, Berlin.

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