共查询到20条相似文献,搜索用时 93 毫秒
1.
Daniel T. Stallworth Fred W. Roush 《Proceedings of the American Mathematical Society》1997,125(7):2147-2148
We show that it is undecidable whether the definite contour multiple integral of an elementary meromorphic function is zero over an everywhere real analytic manifold on which it is analytic.
2.
Masato Fujita 《Archiv der Mathematik》2017,109(6):529-538
We consider a global semianalytic set defined by real analytic functions definable in an o-minimal structure. When the o-minimal structure is polynomially bounded, we show that the closure of this set is a global semianalytic set defined by definable real analytic functions. We also demonstrate that a connected component of a planar global semianalytic set defined by real analytic functions definable in a substructure of the restricted analytic field is a global semianalytic set defined by definable real analytic functions. 相似文献
3.
Cui Guizhen 《数学学报(英文版)》1994,10(2):202-208
In this paper, it is proved that the two real analytic expanding endomorphisms of the unit circle are equivalent if and only
if they have equal eigenvalues along corresponding cycles. A sufficient and necessary condition that a real analytic solution
of Cvitanovic-Feigenbaum equation induces a real analytic expanding map is given.
Supported by the NSFC. 相似文献
4.
Paulo D. Cordaro A. Alexandrou Himonas 《Transactions of the American Mathematical Society》1998,350(12):4993-5001
We consider a class of operators in the form of a sum of squares of vector fields with real analytic coefficients on the torus and we show that the zero order term may influence their global analytic hypoellipticity. Also we extend a result of Cordaro-Himonas.
5.
We obtain conditions under which the modulus of continuity of a piecewise analytic function given on a closed interval of the real axis is an analytic function in a neighborhood of zero. 相似文献
6.
该文给出了某类实解析与复解析分歧问题是不能R-有限决定的.并利用上述结果证明了一类分岐问题是不能K-有限决定的.同时给出了一个K-有限决定但不能R-有限决定的个例子,它说明在分岐问题中R-有限决定与K-有限决定不是互为充要的条件. 相似文献
7.
We consider real analytic involutive structures 𝒱, of co-rank one, defined on a real analytic paracompact orientable manifold M. To each such structure we associate certain connected subsets of M which we call the level sets of 𝒱. We prove that analytic regularity propagates along them. With a further assumption on the level sets of 𝒱 we characterize the global analytic hypoellipticity of a differential operator naturally associated to 𝒱. As an application we study a case of tube structures. 相似文献
8.
J.-P. Rolin P. Speissegger A. J. Wilkie 《Journal of the American Mathematical Society》2003,16(4):751-777
We show that the expansion of the real field generated by the functions of a quasianalytic Denjoy-Carleman class is model complete and o-minimal, provided that the class satisfies certain closure conditions. Some of these structures do not admit analytic cell decomposition, and they show that there is no largest o-minimal expansion of the real field.
9.
Francesca Acquistapace Fabrizio Broglia José F. Fernando Jesús M. Ruiz 《Mathematische Zeitschrift》2007,257(1):13-21
We show that the Pythagoras number of a real analytic curve is the supremum of the Pythagoras numbers of its singularities,
or that supremum plus 1. This includes cases when the Pythagoras number is infinite.
相似文献
10.
Tobias Kaiser 《Israel Journal of Mathematics》2016,212(1):139-162
We show that a globally subanalytic function that is real analytic can be extended in a globally subanalytic way to a holomorphic function. We also establish a parametric version of this result. For other important ominimal structures, we show that unary definable real analytic functions can be extended definably to a holomorphic function. 相似文献
11.
Guang Gui Ding 《数学学报(英文版)》2015,31(12):1872-1878
In this article, we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces. We obtain that under some condition the answer to this problem is affirmative. 相似文献
12.
We define here a certain class of procedures (a.a.c.c.p.) for constructing real valued cocycles over irrational rotations.
Each such procedure is realizable over a residual set of possible rotations, and we prove that each such cocycle is cohomologous
to a real analytic cocycle. The procedure in Section 3 of [10] is seen to be of this type and hence not only is cohomologous
toC
∞ as is shown there, but is actually cohomologous to a real analytic cocycle. We also show that following the method of [6]
a procedure can be given to obtain rank-1 Anzai skew products of mixed spectral type that are real analytic.
Research supported by KBN grant 512/2/91.
Research supported by KBN grant 512/2/91.
Research supported by NSF grant DMS 01524351. 相似文献
13.
We obtain integral representations of generalized axially symmetric potentials via analytic functions of a complex variable
that are defined in an arbitrary simply connected bounded domain symmetric with respect to the real axis. We prove that these
integral representations establish a one-to-one correspondence between analytic functions of a complex variable that take
real values on the real axis and generalized axially symmetric potentials of certain classes. 相似文献
14.
Adalberto P. Bergamasco Sé rgio Luí s Zani 《Proceedings of the American Mathematical Society》2008,136(4):1305-1310
We present a characterization of the global analytic hypoellipticity of a complex, non-singular, real analytic vector field defined on a compact, connected, orientable, two-dimensional, real analytic manifold.
In particular, we show that such vector fields exist only on the torus.
15.
Let u be the Newtonian potential of a real analytic distribution in an open set Ω. In this paper we assume u is analytically
continuable from the complement of Ω into some neighborhood of a point x0 ∈ ∂Ω, and we study conditions under which the analytic continuation implies that ∂Ω is a real analytic hypersurface in some
neighborhood of x0. 相似文献
16.
Dietmar Vogt 《Mathematische Nachrichten》2008,281(6):903-911
It is shown that for an algebraic subvariety X of ℝd every Fréchet valued real analytic function on X can be extended to a real analytic function on ℝd if and only if X is of type (PL), i.e. all of its singularities are of a certain type. Necessity of this condition is shown for any real analytic variety. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
17.
Joachim Grä ter Markus Klein 《Proceedings of the American Mathematical Society》2000,128(2):325-335
An algebraic approach to Rellich's theorem is given which states that any analytic family of matrices which is normal on the real axis can be diagonalized by an analytic family of matrices which is unitary on the real axis. We show that this result is a special version of a purely algebraic theorem on the diagonalization of matrices over fields with henselian valuations.
18.
Shanyu Ji 《Journal of Geometric Analysis》2002,12(2):255-264
We show that a germ (M, 0) of real analytic strongly pseudoconvex hypersurface is holomorphically equivalent to a germ of
real algebraic hypersurface if and only if there is a blowing-down from (M, 0) to a germ of real algebraic hypersurface. 相似文献
19.
Nordine Mir 《Mathematische Zeitschrift》1999,231(1):189-202
We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in , . We then use this criterion to prove the following result about real analyticity of smooth CR mappings: any smooth CR mapping
H between a real analytic hypersurface and a rigid polynomial holomorphically nondegenerate hypersurface is real analytic,
provided the map H is not totally degenerate in the sense of Baouendi and Rothschild.
Received September 19, 1997 相似文献
20.
所谓“实数域上的微分中值定理可以推广到复数域上”的论断值得商榷.通过给出实例的方法,具体分析所谓的“解析函数的微分中值定理”之错误所在. 相似文献