Some explicitly invertible Toeplitz operators on the quarter-plane

Radlow, James

doi:10.1090/S0002-9939-1977-0454716-9

Some explicitly invertible Toeplitz operators on the quarter-plane
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Proc. Amer. Math. Soc. 66 (1977), 20-22 Request permission

Abstract:

A 2-variable Toeplitz operator T is invertible only under special conditions on its symbol t(z) = t(zx, zj). Here we make three additions to the known list of such special conditions and we construct explicit inverses in each of the three cases. The results are obtained by the use of a 2-variable Wiener-Hopf factorization of the symbol.

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