Generalizations to Space of the Cauchy and Morera Theorems( 1 )
نویسندگان
چکیده
منابع مشابه
Generalizations to Space of the Cauchy and Morera Theorems.
Presented to the Society April 14, 1939, under the title A characterization of plane isothermic maps; received by the editors March 4, 1940. (') Some of the results of this paper have been summarized in the authors' note of the same title in the Proceedings of National Academy of Sciences, vol. 25 (1939), pp. 92-97. (2) It is to be understood throughout this paper that the domains under conside...
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Moreover, for all values of z within a region T which does not cut or touch the positive half of the real axis we shall have — TT < <£ + TT < TT, provided we agree to choose at every £oint so that — 2TT < < 0. I t follows, upon introducing (6), that when the above agreements are made we may always choose e so small that the improper integral in (7) will converge uniformly for all values...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1941
ISSN: 0002-9947
DOI: 10.2307/1989938