...M. Shub, "Expanding maps" S.-S. Chern (ed.) S. Smale (ed.) , ''Global analysis'' , ''Proc. Symp. Pure Math.'' , '''14''' , Amer. Math. Soc. (1970) pp. 2
2 KB (337 words) - 19:13, 9 October 2014
...so cannot be a local minimum point of the modulus of $f(z)$. An equivalent global formulation of the maximum-modulus principle is that, under the same condit
|valign="top"|{{Ref|Ah}}||valign="top"| L.V. Ahlfors, "Complex analysis" , McGraw-Hill (1979) pp. 241 {{ZBL|0395.30001}}
4 KB (614 words) - 06:23, 12 October 2023
<TR><TD valign="top">[1]</TD> <TD valign="top"> A. Lichnerowicz, "Global theory of connections and holonomy groups" , Noordhoff (1976) (Translated
...TD valign="top">[a2]</TD> <TD valign="top"> R.O. Wells jr., "Differential analysis on complex manifolds" , Springer (1980)</TD></TR>
3 KB (413 words) - 13:42, 17 March 2023
a finite number of global sections $ s _{1} \dots s _{N} $
by its global sections.)
9 KB (1,307 words) - 20:04, 27 February 2021
==Local and global convergence theory.==
...f$ is decreased as the iteration progresses. There are several variants of global convergence theorems for BFGS and related methods, [[#References|[a9]]], [[
13 KB (1,868 words) - 07:21, 13 February 2024
...D valign="top">[2]</TD> <TD valign="top"> R.O. Wells jr., "Differential analysis on complex manifolds" , Springer (1980)</TD></TR></table>
3 KB (490 words) - 17:46, 4 June 2020
==Local and global theory.==
...see [[Deformation|Deformation]] 1) and 2)). The fundamental methods of the global theory are those of the theory of representable functors and geometric inva
16 KB (2,402 words) - 11:49, 16 December 2019
A global version of the same statement is the following
The global Theorem 2 holds also when $[0,T]$ is replaced by $[-T, 0]$ or $[-T,T]$, by
5 KB (851 words) - 11:10, 30 November 2013
...solution in the space of sequences of bounded functions), and non-standard analysis methods.
...ces of summable functions (or kernel operators, in the quantum case): time-global solutions for general classes of an interaction potential;
10 KB (1,427 words) - 07:38, 7 February 2024
The same analysis has been generalized to the case of a bounded domain in [[#References|[a1]]
...D></TR><TR><TD valign="top">[a5]</TD> <TD valign="top"> J.A. Carrillo, "Global weak solutions of the absorption and reflection-type initial-boundary value
6 KB (900 words) - 08:31, 22 August 2014
``long-run", or ``global" statistical dependence in the Earth sciences.
peculiar method of analysis that follows very
9 KB (1,398 words) - 20:37, 22 September 2016
...r equipments, and computer networks), which is oriented to the qualitative analysis and synthesis of such systems (discovering deadlocks or conflict situations
...conducted along two lines. The mathematical theory is advanced by a formal analysis of their properties. The most interesting problems include recognizing dead
6 KB (897 words) - 19:23, 16 August 2016
...theory is based on the implicit-function theorem in non-linear functional analysis and on the general theory of linear problems of corresponding type.
The global theory of non-linear problems is less completely developed, and then only f
30 KB (4,331 words) - 16:42, 20 January 2022
.... Subsequently, fundamental results were obtained by methods of functional analysis and by algebraic methods, concerning the homotopy invariance of classes and
...ying the topological invariants, provided by $K$-theory. Multi-dimensional global problems of the calculus of variations on manifolds proved to be more diffi
9 KB (1,298 words) - 14:59, 30 August 2014
...ture of the boundary conditions or any supplementary conditions). Such a "global" character of variational calculus in the large proper is stressed by the
...#References|[12]]]). Variational calculus in the large is also employed in global [[Differential geometry|differential geometry]] [[#References|[13]]].
14 KB (2,052 words) - 08:27, 6 June 2020
..., "Anosov diffeomorphisms" S.-S. Chern (ed.) S. Smale (ed.) , ''Global analysis'' , ''Proc. Symp. Pure Math.'' , '''14''' , Amer. Math. Soc. (1970) pp. 6
...300</TD></TR><TR><TD valign="top">[a5]</TD> <TD valign="top"> M. Shub, "Global stability of dynamical systems" , Springer (1986)</TD></TR><TR><TD valign=
9 KB (1,321 words) - 07:59, 21 June 2014
...nnected the theory of variational inequalities to [[Convex analysis|convex analysis]], especially to the notion of subdifferentiability, and to the theory of m
...R><TD valign="top">[a10]</TD> <TD valign="top"> V.K. Le, K. Schmitt, "Global bifurcation in variational inequalities" , Springer (1997)</TD></TR><TR><T
5 KB (737 words) - 20:35, 18 March 2024
...b C$ and $f,g: U \to \mathbb C$ are differentiable in the sense of complex analysis (cf. [[Analytic function]]). Then the formula reads as \eqref{e:rule}.
Global derivatives are maps from $C^1 (M)$ to $C^0 (M)$ satisfying the (analog of)
5 KB (757 words) - 10:34, 11 December 2013
...D valign="top">[4]</TD> <TD valign="top"> R.O. Wells jr., "Differential analysis on complex manifolds" , Springer (1980)</TD></TR><TR><TD valign="top">[5]<
4 KB (543 words) - 22:15, 5 June 2020
...integral formulas is one of the most important tools in classical complex analysis (cf. also [[Boundary value problems of analytic function theory|Boundary va
In applications involving the construction of global holomorphic functions satisfying special properties, and in order to solve
15 KB (2,167 words) - 16:10, 11 February 2024