The optional sampling theorem for martingales indexed by a partially ordered set is true if the index set is directed. However, the corresponding result for submartingales indexed by a partially ...

It is shown that a well-known irregular sampling formula for ordinary bandlimited functions is also valid for functions bandlimited in a generalized sense, except for some necessary modifications.

When electrical engineers hear the name "Nyquist," they think of what Harry Nyquist is best known for: his Sampling Theorem. Evidence of its importance is everywhere. Products like cell phones, audio ...