Continuous data streams arise naturally, for example, in the installations of large telecom and Internet service providers where detailed usage information (Call-Detail-Records, SNMP/RMON packet-flow data, etc.) from different parts of the underlying network needs to be continuously collected and analyzed for interesting trends. Such environments raise a critical need for effective stream-proce...

Let G0 be a connected, simply connected real simple Lie group. Suppose that G0 has a compact Cartan subgroup T0, so it has discrete series representations. Relative to T0 there is a distinguished positive root system ∆ for which there is a unique noncompact simple root ν, the “Borel – de Siebenthal system”. There is a lot of fascinating geometry associated to the corresponding “Borel – de Siebe...

Let D, be a homogeneous bounded domain in Cl’ containing the origin 0. Let G, be the group of holomorphic transformations of D, and let us consider a representation T, of G inside a Hilbert space H, of holomorphic functions on D, . As a simple example, suppose that D,-, = {D, n z, = 0} is a homogeneous bounded domain in P-l for a subgroup G,_, of G, . We consider the restriction of the represen...

the present research simulates time-periodic unsteady transonic flow around pitching airfoils via the solution of unsteady euler and navier-stokes equations, using time spectral method (tsm) and compares it with the traditional methods such as bdf and explicit structured adaptive grid method. the tsm uses a fourier representation in time and hence solves for the periodic state directly accordin...

We have determined composition series of a class induced representations appearing in Mœglin–Tadić classification discrete series. The result is further used to determine the certain from Langlands quotients. This should provide more information on decomposing standard as well Jacquet modules series, which has applications automorphic forms.