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Published in Vol. 244, 10 September 2013, pages 16--22 of Advances in Mathematics
On the Lazarev-Lieb Extension of the Hobby-Rice Theorem
The existence of a smooth, compex-valued analog of the Hobby-Rice Theorem is shown to be a consequence of a fixed point theorem applied to approximations of the classical discontinuous Hobby-Rice multiplier. Furthermore, some questions about the norms of the multipliers are answered.
Variation and the Change of Variables Theorem (with Yoram Sagher).
A classic result due to Serrin and Varberg establishing the necessary and
sufficient conditions for the change of variables formula to hold is
expanded here with the well-suited tools of the Henstock-Kurzweil
Integral. Some interesting properties of the relevant condition,
negligible variation, are given at the end of the paper.