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The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.
      
The sampling theorem is a Kramer-type sampling theorem, but unlike Kramer's theorem the sampling points are not necessarily eigenvalues of some boundary value problems.
      
Finally, the matrix approach can be similarly applied to other problems of signal representation.
      
In turn, this gives rise to a simple and unified treatment of the Caratheodory and Nehari moment problems.
      
In turn, this gives rise to a simple and unified treatment of the Caratheodory and Nehari moment problems.
      
A* arises quite naturally in problems of summability of the Fourier series at Lebesgue points, whereas Wiener's algebra A of functions with absolutely convergent Fourier series arises when studying the norm convergence of linear means.
      
The paper ends with a summary of some open problems.
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
A* arises quite naturally in problems of summability of the Fourier series at Lebesgue points, whereas Wiener's algebra A of functions with absolutely convergent Fourier series arises when studying the norm convergence of linear means.
      
The paper ends with a summary of some open problems.
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
The projectively adapted properties of theSL(2, ?)-harmonic analysis, as applied to the problems, in image processing, are confirmed by computational tests.
      
We describe the main results obtained in a joint work with Athanasopoulos and Caffarelli on the regularity of viscosity solutions and of their free boundaries for a rather general class of parabolic phase transition problems.
      
We also discuss the stability of irregular sampling problems.
      
This permits us to turn the problems into interpolation problems in spaces of entire functions, which we are able to treat.
      
Phase retrieval techniques for radar ambiguity problems
      
Using methods developed for phase retrieval problems, we give here a partial answer for some classes of time limited (compactly supported) signals.
      
We apply this result on semilinear problems of the form u'(t)+A(t)u(t)=f(t, u(t)), u(0)=0.
      
Boundary-variation solution of eigenvalue problems for elliptic operators
      
While our proofs, constructions and numerical examples are given for eigenvalue problems for the Laplacian operator in the plane, other elliptic operators can be treated similarly.
      
 

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