Treatise on analysis
著者
書誌事項
Treatise on analysis
（Pure and applied mathematics, 10）
Academic Press, 1969-
- v. 2
- v. 3
- v. 4
- v. 5
- v. 6
- v. 7
- v. 8
- タイトル別名
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Éléments d'analyse
大学図書館所蔵 件 / 全130件
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東京大学 駒場図書館駒場図
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名古屋大学 工学 図書室工中央書庫
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注記
Vol. 1 has special title : Foundations of modern analysis <BA0089236X>
Except for v. 1, a translation of Éléments d'analyse
Vol. 2- translated by I.G. MacDonald
Vol. 3- translated by Laura Fainsilber
Some printings of vol. 2-6: translated by I.G. MacDonald, vol. 7: translated by Laura Fainsilber
Includes various editions of some volumes
Includes bibliographies and indexes
内容説明・目次
内容説明
目次
- Part 1 Weyl-Kodaira theory: elliptical differential operators on an interval of R boundary conditions
- self-adjoint operators associated with a linear differential equation
- the case of second order equations
- example - second order equations with periodic-coefficients
- example - Gelfand-Levitan equations. Part 2 Multilayer potentials: symbols of rational type
- the case of hyperplane multilayers
- general case. Part 3 Fine boundary value problems for elliptical differential operators: the Calderon operator
- elliptic boundary value problems
- ellipticity criteria
- the spaces Hs,r (U+) Hs,r - spaces and P-potentials
- regularity on the boundary
- coercive problems
- generalized Green's formula
- fine problems associated with coercive problems
- examples
- extension to some non-Hermitian operators
- case of second-order operators
- Neumann's problem
- the maximum principle. Part 4 Parabolic equations: construction of one-sided local resolvent
- the one-sided global Cauchy problem
- traces and eigenvalues. Part 5 Evolution distributions - the wave equation: generalized Cauchy problem
- propagation and domain of influence
- signals, waves and rays. Part 6 Strictly hyperbolic equations: preliminary results
- construction of a local approximate resolvent
- examples and variations
- the Cauchy problem for strictly hyperbolic differential operators
- existence and local uniqueness
- global problems
- extension to manifolds. Part 7 Application to the spectrum of a Hermitian elliptic operator.
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