Non-tangential limits, fine limits and the Dirichlet integral

Integral Means and Boundary Limits of Dirichlet Series

We study the boundary behavior of functions in the Hardy spaces H p for ordinary Dirichlet series. Our main result, answering a question of H. Hedenmalm, shows that the classical F. Carlson theorem on integral means does not extend to the imaginary axis for functions in H ∞, i.e., for ordinary Dirichlet series in H∞ of the right half-plane. We discuss an important embedding problem for H , the ...

Generalized Covering Groups and Direct Limits

Limits in modified categories of interest

‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to ...

Measuring Limits of Fine-grained Parallelism

First, the limits of low-level parallelism for a collection of real-world programs are investigated and Wall's results are veri ed. Maximum parallelism of symbolic benchmarks is investigated on both superpipelined and superscalar architectures. E ects of register renaming are considered. We then examine the e ects of garbage collection strategies on low-level parallelism. In particular, we exam...

Non-perturbative double scaling limits

Recently, the author has proposed a generalization of the matrix and vector models approach to the theory of random surfaces and polymers. The idea is to replace the simple matrix or vector (path) integrals by gauge theory or non-linear σ model (path) integrals. We explain how this solves one of the most fundamental limitation of the classic approach: we automatically obtain non-perturbative de...