Singular invariant hyperfunctions on the space of complex and quaternion Hermitian Matrices

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概要

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• Singular invariant hyperfunctions on the space of n× n complex and quaternion matrices are discussed in this paper. Following a parallel method employed in the authors paper on invariant hyperfunctions on the symmetric matrix spaces, we give an algorithm to determine the orders of poles of the complex power of the determinant function and to determine exactly the support of singular invariant hyperfunctions, i.e., invariant hyperfunctions whose supports are contained in the set of points of rank strictly less than n, obtained as negative-order-coefficients of the Laurent expansions of the complex powers.

• 社団法人 日本数学会の論文

著者

• Muro Masakazu

  Gifu University

関連論文

• Singular invariant hyperfunctions on the space of complex and quaternion Hermitian Matrices
• Singular invariant hyperfunctions on the space of real symmetric matrices

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