Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical analysis --- 517.982 --- Linear spaces with topology and order or other structures --- 517.982 Linear spaces with topology and order or other structures --- 517.1 Mathematical analysis --- 517.1. --- 517.1

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential for such an approach has only recently been realized. Early attempts to apply classical operator theory typically having failed when optimal controllers proved to be non-causal, feedback systems unstable or coupling networks non-lossless. Moreover, attempts to circumvent these difficulties by adding causality or stability constraints to the problems failed when it was realized that these time based concepts were undefined and; in fact, undefinable; in the Hilbert and Banach spaces of classical operator theory.

Mathematical control systems --- 517.982 --- 519.7 --- 519.8 --- 681.3*G --- Linear spaces with topology and order or other structures --- Mathematical cybernetics --- Operational research --- Mathematics of computing --- Engineering & Applied Sciences --- Computer Science --- 681.3*G Mathematics of computing --- 519.8 Operational research --- 519.7 Mathematical cybernetics --- 517.982 Linear spaces with topology and order or other structures --- Theorie du controle

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.

Operator theory --- Banach spaces. --- Interpolation. --- Function spaces. --- Differential operators. --- Banach spaces --- Interpolation --- Function spaces --- Differential operators --- 517.982 --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures --- Approximation theory --- Numerical analysis --- Spaces, Function --- Functional analysis --- Operators, Differential --- Differential equations --- Functions of complex variables --- Generalized spaces --- Topology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Measure theory. Mathematical integration --- Measure theory --- 517.982 --- Riesz spaces --- Riesz vector spaces --- Vector lattices --- Lattice theory --- Vector spaces --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Linear spaces with topology and order or other structures --- Measure theory. --- Riesz spaces. --- 517.982 Linear spaces with topology and order or other structures --- Espaces vectoriels topologiques ordonnés --- Linear topological spaces, Ordered --- Espaces vectoriels topologiques ordonnés. --- Linear topological spaces, Ordered. --- Espaces vectoriels ordonnes --- Mesure et integration

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Complex analysis --- Analytical spaces --- 517.982 --- Hardy spaces --- #TCPW W8.0 --- 517.57 --- Spaces, Hardy --- Functional analysis --- Functions of complex variables --- Linear spaces with topology and order or other structures --- Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions --- Hardy spaces. --- 517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions --- 517.982 Linear spaces with topology and order or other structures