In the theory of Fourier series on the n-torus, we have the familiar Riemann-Lebesgue lemma. For the general non-exchangeable compact Lie groups, the Fourier coefficients of integrable functions, generally speaking, d...In the theory of Fourier series on the n-torus, we have the familiar Riemann-Lebesgue lemma. For the general non-exchangeable compact Lie groups, the Fourier coefficients of integrable functions, generally speaking, do not converge to zero. In this note, we展开更多
Let G be a connected compact semisimple Lie group and g, T be the Lie algebra and maximal torus, respectively. Let l (=dim T) and n (=l+2m, where m is the number of positive roots of G) be the rank and dimension of G,...Let G be a connected compact semisimple Lie group and g, T be the Lie algebra and maximal torus, respectively. Let l (=dim T) and n (=l+2m, where m is the number of positive roots of G) be the rank and dimension of G, respectively. Let △^+ be the set consisting of all positive roots.展开更多
文摘In the theory of Fourier series on the n-torus, we have the familiar Riemann-Lebesgue lemma. For the general non-exchangeable compact Lie groups, the Fourier coefficients of integrable functions, generally speaking, do not converge to zero. In this note, we
文摘Let G be a connected compact semisimple Lie group and g, T be the Lie algebra and maximal torus, respectively. Let l (=dim T) and n (=l+2m, where m is the number of positive roots of G) be the rank and dimension of G, respectively. Let △^+ be the set consisting of all positive roots.
