This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.For more informatio...
IntroductionWe will study some mixed completeness problems, i.e. completeness problems for the union of two systems of harmonics of different nature, for a example a system from exponentials and its biorthogonal system.We consider the spectral synthesis property for systems of exponentials and other systems of reproducing kernels of Hilbert spaces of entire functions (Paley-Wiener spaces, Fock ...