Advances in Soviet Mathematics 1992; 210 pp; hardcover Volume: 13 ISBN10: 0821841149 ISBN13: 9780821841143 List Price: US$138 Member Price: US$110.40 Order Code: ADVSOV/13
 Idempotent analysis is a new branch of mathematical analysis concerned with functional spaces and their mappings when the algebraic structure is generated by an idempotent operation. The articles in this collection show how idempotent analysis is playing a unifying role in many branches of mathematics related to external phenomena and structuresa role similar to that played by functional analysis in mathematical physics, or numerical methods in partial differential equations. Such a unification necessitates study of the algebraic and analytic structures appearing in spaces of functions with values in idempotent semirings. The papers collected here constitute an advance in this direction. Readership Research mathematicians. Table of Contents  V. P. Maslov and S. N. Samborskiĭ  Idempotent analysis (in place of an introduction)
 S. Yu. Dobrokhotov, V. N. Kolokoltsov, and V. P. Maslov  Quantization of the Bellman equation, exponential asymptotics and tunneling
 P. I. Dudnikov  Endomorphisms of the semimodule of bounded functions
 P. I. Dudnikov and S. N. Samborskiĭ  Endomorphisms of finitely generated free semimodules
 V. N. Kolokoltsov  On linear, additive, and homogeneous operators in idempotent analysis
 S. A. Lesin and S. N. Samborskiĭ  Spectra of compact endomorphisms
 V. P. Maslov and S. N. Samborskiĭ  Stationary HamiltonJacobi and Bellman equations (existence and uniqueness of solutions)
 S. N. Samborskiĭ and G. B. Shpiz  Convex sets in the semimodule of bounded functions
 S. N. Samborskiĭ and A. A. Tarashchan  The Fourier transform and semirings of Pareto sets
 M. A. Shubin  Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions
 S. Yu. Yakovenko and L. A. Kontorer  Nonlinear semigroups and infinite horizon optimization
