# Singular integral

integral operator whose kernel is singular along the diagonal

In mathematics, **singular integrals** are central to harmonic analysis and are intimately connected with the study of partial differential equations.

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## Quotes edit

- I was obsessed with parabolic singular integrals, which seemed the natural object to study after Calderón's success with elliptic and hyperbolic PDEs. Calderón encouraged me in that interest, and, as the problem was in the air, very soon afterwards a first paper on the subject appeared by B. Frank Jones. This did not discourage me, since I came up with a notion of principal value for the integral through a nonisotropic distance, an idea which Calderón thought was the right one.
- Cora Sadosky cited in María Cristina Pereyra; Stefania Marcantognini; Alexander M. Stokolos; Wilfredo Urbina (15 September 2016).
*Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1): Celebrating Cora Sadosky's life*. Springer. p. 10. ISBN 978-3-319-30961-3.

- Cora Sadosky cited in María Cristina Pereyra; Stefania Marcantognini; Alexander M. Stokolos; Wilfredo Urbina (15 September 2016).