Titlebook: Asymptotic Combinatorics with Application to Mathematical Physics; Vadim Malyshev,Anatoly Vershik Book 2002 Kluwer Academic Publishers 200

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A New Approach to Berezin Kernels and Canonical Representationsc spaces and spaces of Hermitian type. Our context is much more general and circles around so-called .-stable parabolic subgroups and intertwining operators. We present new examples of Berezin kernels and also highlight the new approach in the context of interpolation of representations between (..(

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Renormalization Group Solution of Fermionic Dyson Model be considered as a normalizing transformation for RG-map at trivial fixed point. The ultraviolet poles of Feynman amplitudes appear as a resonance values for normalizing transformation. Convergence of functional integral follows from Poincare and Siegel theorems.