Matrix Convolution Operators on Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Chu, Cho-Ho 作者

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出版日期

108 頁數

$ 56.44 價格

叢書系列

9783540697978 圖書編碼

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發表於2025-01-08

Matrix Convolution Operators on Groups 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2025

Matrix Convolution Operators on Groups 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2025

Matrix Convolution Operators on Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Matrix Convolution Operators on Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Matrix Convolution Operators on Groups 在線電子書圖書描述

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.

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