冪等分析是數學分析的一個新分支,代數結構也是來源於冪等分析。
《冪等分析(英文)/國外優秀數學著作原版系列》闡釋了冪等分析相關的理論與研究成果,包括貝爾曼方程、有界函數、齊次運算元等內容。
《冪等分析(英文)/國外優秀數學著作原版系列》的出版對於研究冪等函數的學者具有很大的幫助,並且對其他學科的學習和應用具有很大的幫助。
《冪等分析(英文)/國外優秀數學著作原版系列》適合高等院校師生及數學愛好者閱讀和收藏。
Contents
Idempotent Analysis(In Place of an Introduction)
Quantization of the Bellman Equation, Exponential Asymptotics
and Tunneling
S YU. DOBROKHOTOV, V.N. KOLOKOLTSOV, and
V P MASLOV
Endomorphisms of the Semimodule of Bounded Functions
P I. DUDNIKOV
Endomorphisms of Finitely Generated Free Semimodules
P I DUDNIKOV and S N. SAMBORSKII
On Linear, Additive, and Homogeneous Operators
in Idempotent Analysis
V.N. KOLOKOLTSOV
Spectra of Compact Endomorphisms
S A LESin and S.N. SAMBORSKII
Stationary Hamilton-Jacobi and Bellman Equations(Existence
and Uniqueness of Solutions
V P MASLOV and S.N. SAMBORSKII
Convex Sets in the Semimodule of Bounded Functions
S N. SAMBORSKII and G. B. SHPIZ
The Fourier Transform and Semirings of Pareto Sets
S N. SAMBORSKIIand A A. TARASHCHAN
Algebraic Remarks on Idempotent Semirings and the Kernel Theorem
in Spaces of Bounded Functions
M. A SHUBIN
Nonlinear Semigroups and Infinite Horizon Optimization
S. YU. YAKOVENKO and L A. KONTORER
编辑手记