Let µ bea Borei measure on ℝd which may be non doubling. The only condition that µ must satisfy is µ(Q) ≤ c₀l(Q)n for any cube Q ⊂ ℝd with sides parallel to the coordinate axes and for some fixed n ...

In this paper, we prove that if the Fourier coefficients of a vector-valued modular form satisfy the Hecke bound, then it is cuspidal. Furthermore, we obtain an analogous result with regard to Jacobi ...