The Kramer sampling theorem revisited

The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space H through an H -valued kernel K defined on an appropriate domain.

Boyd Cody Architects. Dublin

"Serene" would be the most appropriate adjective to describe the architecture of Dermot Boyd and Peter Cody. BOYD CODY ARCHITECTS ls part of a close-knit group of young architects - all of them aggressive and belligerent proponents of modern forms - that make up the vibrant core of contemporary Irish architecture .