 1.

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 所蔵情報: loading…

 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：
2.

[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 所蔵情報: loading…
3.

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 所蔵情報: loading…
4.

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 所蔵情報: loading… 文献複写・貸借依頼