$l$-sequences for nonembeddable functions

INTERPOLATION OF l" SEQUENCES BY H* FUNCTIONS

It is pointed out that the method used by L. Carleson to study interpolation by bounded analytic functions applies to the study of the analogous problem for H" functions. In particular, there exist sequences of points in the unit disc which are not uniformly separated, but which are such that every l" sequence can be interpolated along this sequence by an Hv function (l^p^q^ + oo). Let (77", /"...

Extremal functions for sequences

Davenport-Schinzel sequences DS(s) are finite sequences of some symbols with no immediate repetition and with no alternating subsequence (i.e. of the type ababab . . .) of the length s. This concept based on a geometrical motivation is due to Davenport and Schinzel in the middle of sixties. In the late eighties strong lower and upper (superlinear) bounds on the maximum length of the DS(s) seque...

L-functions for Gsp 4

Convexity bounds for L-functions

We prove a sharp convexity bound for L-functions, at the centre of the critical strip, under conditions weaker than those for the Selberg Class. 2000 Mathematics Subject Classification: Primary 11M41

L Functions for the Group

The method of L functions is one of the major methods for analyzing automorphic forms. For example, the Hecke Converse Theorem gives an equivalence via the Mellin transform between holomorphic modular forms on the upper half plane and certain L functions associated to Dirichlet series, which have analytic continuation and functional equation. The classical theory of automorphic forms on the gro...