A coordinatewise formulation of geometric quantization

we presented a geometric interpretation of all the second elliptic integrable systems associated to a 4-symmetric space in terms of vertically harmonic twistor lifts of

For the numerical algorithm we use a gradient projection method in order to deal with the geometric constraint Ω ⊂ Ê N + ; see the textbooks [20,25] for details on the method.

Our main result shows that, under the two above mentioned assumptions (that is, ρ is close to a constant in C 2 and the initial datum is smooth and increasing) the discrete and

To achieve this, we use the correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the complex plane and a relation between the Berezin-Toeplitz

A classical approach to solve the free boundary problem is to penalize one of the boundary conditions in the over- determined system (1)-(4) within a shape optimization approach to

In this paper we have presented the state of the art of the numerical evaluation of solutions to integrable equations in terms of multi-dimensional theta functions associated to

For many real problems, it is interesting to consider a finite sampling design. The above theoretical results on the performance of the sampling design, motive us to treat a

In a first step, we express the transversal index as an Atiyah-Patodi-Singer (APS) type index on corresponding manifolds with boundary.. Then in a second step, we construct a