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1.

図書
図書
1. Nonlinearity and functional analysis : lectures on nonlinear problems in mathematical analysis
Melvin S. Berger
出版情報: New York : Academic Press, 1977  xix, 417 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 74
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2.

図書
図書
2. An algorithmic approach to nonlinear analysis and optimization
[by] Edward J. Beltrami
出版情報: New York : Academic Press, 1970  xiv, 235 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 63
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3.

図書
図書
3. Functional analysis
Walter Rudin
出版情報: New York : McGraw-Hill, c1973  xiii, 397 p. ; 24 cm
シリーズ名: McGraw-Hill series in higher mathematics
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目次情報: 続きを見る
Preface
General Theory / Part 1：
Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises / 1：
Completeness Baire category The Banach-Steinhaus theorem The open mapping theorem The closed graph theorem Bilinear mappings Exercises / 2：
Convexity The Hahn-Banach theorems Weak topologies Compact convex sets Vector-valued integration Holomorphic functions Exercises / 3：
Duality in Banach Spaces The normed dual of a normed space Adjoints Compact operators Exercises / 4：
Some Applications A continuity theorem Closed subspaces ofL p -spaces The range of a vector-valued measure A generalized Stone-Weierstrass theorem Two interpolation theorems Kakutani's fixed point theorem Haar measure on compact groups Uncomplemented subspaces Sums of Poisson kernels Two more fixed point theorems Exercises / 5：
Distributions and Fourier Transforms / Part 2：
Test Functions and Distributions Introduction Test function spaces Calculus with distributions Localization Supports of distributions Distributions as derivatives Convolutions Exercises / 6：
Fourier Transforms Basic properties Tempered distributions Paley-Wiener theorems Sobolev's lemma Exercises / 7：
Applications to Differential Equations Fundamental solutions Elliptic equations Exercises / 8：
Tauberian Theory Wiener's theorem The prime number theorem The renewal equation Exercises / 9：
Banach Algebras and Spectral Theory / Part 3：
Banach Algebras Introduction Complex homomorphisms Basic properties of spectra Symbolic calculus The group of invertible elements Lomonosov's invariant subspace theorem Exercises / 10：
Commutative Banach Algebras Ideals and homomorphisms Gelfand transforms Involutions Applications to noncommutative algebras Positive functionals Exercises / 11：
Bounded Operators on a Hillbert Space Basic facts Bounded operators A commutativity theorem Resolutions of the identity The spectral theorem Eigenvalues of normal operators Positive operators and square roots The group of invertible operators A characterization of B*-algebras An ergodic theorem Exercises / 12：
Unbounded Operators Introduction Graphs and symmetric operators The Cayley transform Resolutions of the identity The spectral theorem Semigroups of operators Exercises / 13：
Compactness and Continuity / Appendix A：
Notes and Comments / Appendix B：
Bibliography List of Special Symbols
Index
Preface
General Theory / Part 1：
Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises / 1：
4.

図書
図書
4. Functional analysis. 2nd ed
A. Mukherjea and K. Pothoven
出版情報: New York : Plenum Press, c1986  viii, 277 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; v. 28 . Real and functional analysis / A. Mukherjea and K. Pothoven ; Pt. B
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5.

図書
図書
5. Leçons d'analyse fonctionnelle. 4e éd
par Frédéric Riesz et Béla Sz.-Nagy
出版情報: Paris : Gauthier-Villars , Budapest : Akadémiai Kiadó, 1965  viii, 488, [2] p. ; 24 cm
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6.

図書
図書
6. Hilbertsche Räume mit Kernfunktion (: pbk)
von Herbert Meschkowski
出版情報: Berlin : Springer, 1962  viii, 256 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 113
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7.

図書
図書
7. Functional analysis
N.Ya. Vilenkin ... [et al.] ; translated from the Russian by Richard E. Flaherty ; English edition edited by George F. Votruba ; with the collaboration of Leo F. Boron ; S.G. Krein (editor)
出版情報: Groningen : Wolters-Noordhoff, c1972  xv, 379 p. ; 23 cm
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8.

図書
図書
8. Applications of functional analysis in engineering
J.L. Nowinski
出版情報: New York : Plenum Press, c1981  xv, 304 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; 22
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9.

図書
図書
9. An introduction to functional analysis (: American Elsevier ; : North-Holland)
Mischa Cotlar and Roberto Cignoli ; translated by A. Torchinsky and A. González Villalobos
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1974  xiv, 585 p. ; 23 cm
シリーズ名: North-Holland texts in advanced mathematics
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10.

図書
図書
10. Realizability theory for continuous linear systems
A.H. Zemanian
出版情報: New York : Academic Press, 1972  xv, 231 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 97
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11.

図書
図書
11. The method of functionals in the quantum theory of fields
by Yu. V. Novozhilov and A.V. Tulub. With an introductory article, Equations with variational derivatives in problems of statistical physics and of quantum field theory, by N.N. Bogolyubov
出版情報: New York : Gordon and Breach, c1961  79 p ; 23 cm
シリーズ名: Russian tracts on advanced mathematics and physics ; v. 5
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12.

図書
図書
12. Problems in the sense of Riemann and Klein
Josip Plemelj : edited and translated by J.R.M. Radok
出版情報: New York : Interscience Publishers, c1964  vii, 175 p. ; 23 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 16
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13.

図書
図書
13. Functional analysis and optimization
edited by E.R. Caianiello
出版情報: New York : Academic Press, 1966  xiii, 225 p. ; 24 cm
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目次情報: 続きを見る
Preface / by E.R. Caianiello
Linear control systems; controllability / by H.S. Antosiewicz
Approximation of variational inequations / by J.P. Aubin
On the state-space theory of nonlinear systems / by A.V. Balakrishnan
Nonlinear problems posed by decision equations / by E.R. Caianiello
On a generalization of the bang-bang principle / by C. Castaing
Some computational aspects of the theory of optimal control / by W. De Back
The approximate solution of an unstable physical problem subject to constraints / by J. Douglas, Jr
Optimal control of diffusion processes / by W.H. Fleming
Convexity and control theory / by H. Halkin
Non-well-set problems and the method of quasi reversibility / by R. Lattès
On some optimization problems for linear parabolic equations / by J.L. Lions
Controllability and observability / by L. Markus
Convexity and duality / by J.J. Moreau
The first non-distributive algebra, with relations to optimization and control theory / by C. Muses
Suboptimal supervisory control / by A. Straszak
Preface / by E.R. Caianiello
Linear control systems; controllability / by H.S. Antosiewicz
Approximation of variational inequations / by J.P. Aubin
14.

図書
図書
14. Applied functional analysis : an introductory treatment
R.D. Milne
出版情報: Boston ; London : Pitman Advanced Pub. Program, 1980  xv, 501 p. ; 24 cm
シリーズ名: Applicable mathematics series
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15.

図書
図書
15. Convex functions and Orlicz spaces
M.A. Krasnoselʹskiĭ and Ya. B. Rutickiĭ ; translated from the first Russian edition by Leo F. Boron
出版情報: Groningen : P. Noordhoff, 1961  ix, 249 p. ; 23 cm
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16.

図書
図書
16. Applications of functional analysis in mathematical physics
by S.L. Sobolev ; translated from the Russian by F.E. Browder
出版情報: Providence, R.I. : American Mathematical Society, 1963  vii, 239 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 7
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17.

図書
図書
17. An introduction to the theory of linear spaces
Georgi E. Shilov ; translated from the Russian by Richard A. Silverman
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1961  310 p. ; 24 cm
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18.

図書
図書
18. Probabilities on algebraic structures
by Ulf Grenander
出版情報: New York : Wiley, c1963  218 p. ; 23 cm
シリーズ名: Wiley publications in statistics
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19.

図書
図書
19. Functional analysis and time optimal control
Henry Hermes, Joseph P. LaSalle
出版情報: New York : Academic Press, 1969  viii, 136 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 56
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