Toeplitz operators via sesquilinear forms (Q1728896)

This survey paper gives a common approach to studying Toeplitz operators on reproducing kernel Hilbert spaces, which is based on the language of sesquilinear forms and allows one to consider for Toeplitz operators non-standard symbols being unbounded functions, measures, and compactly supported distributions. A lot of concrete examples are analysed, which include Toeplitz operators with non-standard symbols on the Fock space, on the Bergman space, and on the Herglotz space consisting of solutions of the Helmholtz equation. For the entire collection see [Zbl 1392.45001].