In both applications and wavelet theory, the spline wavelets are especially interesting, in part because of their simple structure. In a previous paper we proved that the function m;l is an m th order spline wavelet having an l th order spline dual wavelet. This enabled us to derive biorthogonal spline wavelet bases. In this paper we rst study the general structure of cardinal spline wavelets, ...

As shown in hep-th/9709081, non-BPS saturated solitons play an important role in the duality transformations ofN = 1 supersymmetric gauge theories. In particular, a massive spinor in an SO(N) gauge theory with massless matter in the vector representation appears in the dual description as a magnetic monopole with a Z2 charge. This claim is supported by numerous tests, including detailed matchin...

In the paper hep-th/0504039, it was conjectured that in the context of the AdS/CFT correspondence, the 1/2-BPS point-like Wilson loop in the N = 4 SYM theory is mapped to the vacuum state of the dual IIB string theory on the pp wave background and the functional derivatives of the Wilson loop are mapped to the excited string states. Motivated by this conjecture, we consider the small deformatio...