1 - 10 of 13 articles
A short proof is given of Kodaira's result that every compact kähler surface is a deformation of an algebraic surface under the extra assumption that all infinitesimal deformations are unobstructed.
We show that spaces of vector–valued singular modular forms for principal congruence subgroups of the symplectic group Sp(n,ℤ) of integral weight [InlineMediaObject not available: see fulltext.] are generated by suitable finite dimensional families of Siegel theta series. This is obtained as an...
Let [InlineMediaObject not available: see fulltext.] be a locally finite regular affine building with root system R. There is a commutative algebra [InlineMediaObject not available: see fulltext.] spanned by averaging operators A
, λ ∈ P
+, acting on the space of all functions f:V
By using estimates on the frequency of large values of the Riemann zeta-function and modular L-functions attached to the full modular group SL(2, ℤ), we prove sharp upper and lower estimates of the mean square of standard L-functions attached to Siegel cusp forms which are Ikeda lifts, on...
A double covering of a Galois extension K/F in the sense of  is an extension [InlineMediaObject not available: see fulltext.]/K of degree ≤2 such that [InlineMediaObject not available: see fulltext.]/F is Galois. In this paper we determine explicitly all double coverings of any cyclotomic...
We use operator-valued Fourier multiplier theorems to study second order differential equations in Banach spaces. We establish maximal regularity results in L
for strong solutions of a complete second order equation.
Let Ω be a domain in [InlineMediaObject not available: see fulltext.]. We prove the following theorem. If the envelope of holomorphy of Ω is schlicht over Ω, then the envelope is in fact schlicht. We provide examples showing that the conclusion of the theorem does not hold in [InlineMediaObject...
In a previous paper, the authors gave the finest functorial decomposition of the loop suspension of a p-torsion suspension. The purpose of this paper is to generalize this theorem to the loop suspension of arbitrary p-local path connected spaces.
The aim of this paper is to obtain necessary and sufficient conditions for uniform exponential trichotomy of evolution families on the real line. We prove that if p ∈ (1,∞) and the pair (C
(R,X)) is uniformly p-admissible for an evolution family [InlineMediaObject not available: see...
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