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We give a method of decomposing bundle-valued polynomials compatible with the action of the Lie group Spin ( n ), where important tools are Spin ( n )-equivariant operators and their spectral decompositions. In particular, the top irreducible component is realized as an intersection of kernels of...
Many problems in mathematical physics lead to degenerate partial differential equations of second order. In this area the difficulty in higher dimensions still remains. In this paper we consider the initial-value problem for the n -dimensional degenerate hyperbolic equation which in case of space...