Ann Bishop (1899-1990)

Ann Bishop: 19 December 1899-7 May 1990.

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A Bishop surface with a vanishing Bishop invariant

We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant s < ∞ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real...

The Mergelyan-Bishop Theorem

We define the differential operator ∂ ∂z on infinitely differentiable functions (also called smooth or C∞ functions) on some open set in C by ∂ ∂z = 1 2 ( ∂ ∂x + i ∂ ∂y ). A quick calculation shows that ∂ ∂z obeys the product rule. Recall that a function f is holomorphic if and only if ∂ ∂z (f) = 0. A function is biholomorphic, or an analytic isomorphism, if it is holomorphic and has holomorphi...

John F. Fulton (1899-1960)

A Midsummer Reminiscence In June of 1957 word came to me in Zurich that Dr. Fulton was gravely ill. He had recently arrived in London to celebrate the Harvey Tercen-tenary and was to go on from there to Oxford to receive an honorary degree. He had rallied from critical illnesses before, but this time it seemed that the end had come. I boarded a plane for London. The muffled roar of the all-but-...

The Inebriates' Acts, 1879—1899