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Making use, from the preceding paper, of the affirmative solution of the Spectral Conjecture, it is shown here that the general boundaries, of the minimal Gerschgorin sets for

8.1 In § 8.1 ∼ § 8.3, we give some explicit formulas on the Jacobi functions, which are key to the proof of the Parseval-Plancherel type formula of branching laws of

So far, most spectral and analytic properties mirror of M Z 0 those of periodic Schr¨odinger operators, but there are two important differences: (i) M 0 is not bounded from below

In addition, under the above assumptions, we show, as in the uniform norm, that a function in L 1 (K, ν) has a strongly unique best approximant if and only if the best

The explicit treatment of the metaplectic representa- tion requires various methods from analysis and geometry, in addition to the algebraic methods; and it is our aim in a series

We have avoided most of the references to the theory of semisimple Lie groups and representation theory, and instead given direct constructions of the key objects, such as for

Bipartite maps (also called hypermaps, or dessins d’enfants ) : vertices are either black or white, and monochromatic edges

We apply combinatorial tools, including P´ olya’s theorem, to enumerate all possible networks for which (1) the network contains distinguishable input and output nodes as well