Applied functional analysis : numerical methods, wavelet methods, and image processing
著者
書誌事項
Applied functional analysis : numerical methods, wavelet methods, and image processing
（Monographs and textbooks in pure and applied mathematics, 258）
Marcel Dekker, c2004
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.
目次
- Metric spaces and banach fixed point theorem
- Banach spaces
- Hilbert space
- fundamental theorems
- differential and integral calculus in Banach spaces
- optimization problems
- operator equations and variational methods
- finite element and boundary
- element methods
- variational inequalities and applications
- wavelet theory
- wavelet method for partial differential equations and image processing. Appendices: set theoretic concepts
- topological concepts
- elements of metric spaces
- notations anddefinitions of concrete spaces
- vector spaces
- fourier analysis.
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