R. Michael Range
Some Landmarks in the History of the Tangential Cauchy Riemann Equations
Preprint series: ESI preprints

MSC:

35-03 Historical (must be assigned at least one classification number from 01-XX)

32C16 CR-manifolds

32D15 Continuation of analytic objects

01-02 Research exposition (monographs, survey articles)

35N15 $\overline\partial$-Neumann problem and generalizations; formal complexes, See also {32F20 and 58G05}

35F30 Boundary value problems for nonlinear first-order PDE

Abstract: We discuss the origins of the tangential Cauchy Riemann equation
beginning with W. Wirtinger in 1926, and trace the largely unknown early
developments until the emergence of the
$\overline{\partial }_{b}$-Neumann complex in the 1960s.