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math.FA2026
Equivalence after extension for general Toeplitz operators
M. Cristina Câmara, Jonathan R. Partington
This paper reviews the subject of equivalence after extension in the context of Toeplitz operators, truncated Toeplitz operators, and further generalizations including dual and mul…
math-ph2026
Solving gravitational field equations by Wiener-Hopf matrix factorisation, and beyond
M. Cristina Câmara, Gabriel Lopes Cardoso
By viewing Einstein's field equations -- reduced to two dimensions -- as an integrable system, one can simultaneously obtain exact solutions to both the equations themselves and th…