Expressing as a difference of two positive functions
Extending analyticK-subanalytic functions
Letg:U→ℝ (U open in ℝn) be an analytic and K-subanalytic (i. e. definable in ℝanK, whereK, the field of exponents, is any subfield ofℝ) function. Then the set of points, denoted Σ, whereg does not admit an analytic extension is K-subanalytic andg can be extended analytically to a neighbourhood of Ū.
Extending Hardy fields by non--germs
For a large class of Hardy fields their extensions containing non--germs are constructed. Hardy fields composed of only non--germs, apart from constants, are also considered.
Extending means of two variables to several variables.
Extending Tamm's theorem
We extend a result of M. Tamm as follows:Let , be definable in the ordered field of real numbers augmented by all real analytic functions on compact boxes and all power functions . Then there exists such that for all , if is in a neighborhood of , then is real analytic in a neighborhood of .
Extension of functions from sets with polynomial cusps
Extension sets for real analytic functions and applications to Radon transforms.
Extensions de jets dans des intersections de classes non quasi-analytiques
In [3], J. Chaumat and A.-M. Chollet prove, among other things, a Whitney extension theorem, for jets on a compact subset E of ℝⁿ, in the case of intersections of non-quasi-analytic classes with moderate growth and a Łojasiewicz theorem in the regular situation. These intersections are included in the intersection of Gevrey classes. Here we prove an extension theorem in the case of more general intersections such that every -Whitney jet belongs to one of them. We also prove a linear extension theorem...
Extremal preimage measures and measurable weak sections
Extremal tests for scalar functions of several real variables at degenerate critical points.
Extremal Tests for Scalar Functions of Several Real variables at Degenerate Critical Points. (Short Communication).
Extreme values of integrals of some bell shaped classes of functions