Theorems and Problems in Functional Analysis. Springer, New York.A.A. Kirillov, Theorems and Problems in Functional Analysis, Springer, Berlin, 1982.A.A. Kirillov, A.D. Gvishiani, Theorems and Problems in Funct
Mathematics(共47册),这套丛书还有 《Transformation groups in differential geometry》《Functional Analysis (Springer Classics in Mathematics)》《Lectures on Algebraic Topology》《The Analysis of Linear Partial Differential Operators I》《Multiple Integrals in the Calculus of Variations (Classics in Mathematics...
[书名]：Problems and Theorems in Analysis 分析中的问题与定理 [作者]：George Polya and Gabor Szego [出版商]：世界图书出版公司 [页数]：第1卷389页；第2卷391页；共780页 [适用范围]：数学专业高年级学生与研究生，数学教师与数学工作者 [预备知识]：数学分析，高等代数，复变函数 [习题数量]：第1卷...
The greatest mathematicians, such as Archimedes, Newton, and Gauss, always united theory and applications in equal measure. Felix Klein There exists the remarkable possibility that one can master a subject mathemati cally, without really understanding its essence. Albert Einstein Don't give us nu...
3. Strong convergence for equilibrium problems and relatively nonexpansive mappings In this section, we shall employ the idea of Takahashi and Zembayashi [18] to modify process (1.7) and (1.8) to prove a strong convergence theorem for finding a common element of the set of solutions for an ...
All these classes of mappings are immensely substantial in nonlinear convex analysis and optimizations as many optimization problems can be reduced to finding fixed point(s) of such mappings. Moreover, most of the real-world problems, which usually resulted in optimization problems, have some ...
form linear combinations. Functions satisfy that too. That being said, if we are dealing with infinity we will often need to make use of the tools of analysis. Hence functional analysis is often referred to as “infinite-dimensional linear algebra” (see alsoMetric, Norm, and Inner Product)....
Nowadays impulsive differential equations are attracting a lot of attention. They appear in the study of several real world problems (see, for instance, [1,2,15]). In general, it is well known that several natural phenomena are driven by differential equations, but the description of some rea...
(z,w):=∑j=1mzjwj, and the norm|z|:=|x|2+|y|2. In addition,N:={1,2,…};Zmdenotes the set of all integral lattice points inRm;Z+mis a subset ofZmof all points with nonnegative coordinates;S˚is the interior of a setS⊆Rm; and the symbolcard(G)represents the cardinal ...
In this paper, we apply Nevanlinna theory to prove two Ax–Schanuel type theorems for functional transcendence when the original exponential map is replaced by other meromorphic functions. We give examples to show that these results are optimal. As a byproduct, we also show that analytic dependenc...