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Toric Periods and $p$-adic Families of Modular Forms of Half-Integral Weight
The primary goal of this work is to construct $p$-adic families of modular forms of half-integral weight, by using Waldspurger's automorphic framework to make the results as …
Semi-Infinite Highest Weight Categories
We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; …
Weight Multiplicities and Young Tableaux Through Affine Crystals
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Weighted Shifts on Directed Trees
A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a …
Weighted Bergman Spaces Induced by Rapidly Increasing Weights
This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\omega$ satisfying …