Pseudospectra and Singular Values of Large Convolution Operators

This paper is an introduction to C * -algebra methods for studying the spectral behavior of large truncated Wiener-Hopf operators.We compute the limit of the norms of the inverses of truncated Wiener-Hopf operators and we show that the pseudospectra (in contrast to the spectra) and the singular values of large truncated Wiener-Hopf operators mimic the pseudospectrum and the singular values of the original operator.