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1.

図書

図書
V.M. Buchstaber, V.Z. Enolskii, and D.V. Leykin . H.W. Braden and V.M. Buchstaber
出版情報: Amsterdam : Harwood Academic Publishers, c1997  166 p. ; 22 cm
シリーズ名: Reviews in mathematics and mathematical physics ; v. 10, pt. 2
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2.

図書

図書
editors, Selman Akbulut, Turgut Önder, Ronald J. Stern
出版情報: Ankara : Scientific and Technical Research Council of Turkey, [1997]  131 p. ; 24 cm
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3.

図書

図書
T.I. Zelenyak, M.M. Lavrentiev Jr. and M.P. Vishnevskii
出版情報: Utrecht, the Netherlands : VSP, 1997  417 p. ; 25 cm
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4.

図書

図書
J. Alev, G. Cauchon, éditeurs
出版情報: Paris : Société mathématique de France, c1997  ix, 294 p. ; 24 cm
シリーズ名: Collection SMF ; . Séminaires et congrès ; no. 2
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5.

図書

図書
Ram Shankar Pathak
出版情報: Amsterdam : Gordon and Breach science, c1997  xvi, 415 p. ; 24 cm
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目次情報: 続きを見る
Preface
Normed and Countably Normed Spaces / 1:
Introduction / 1.1:
Seminorms and Locally Convex Spaces / 1.2:
Inductive Limits and Union of Multinormed Spaces / 1.3:
The Test Function Space D / 1.4:
The Test Function Space E / 1.5:
The Test Function Space J / 1.6:
The Test Function Spaces Z(a) and Z / 1.7:
The Test Function Space W(I) / 1.8:
Spaces of Generalized Functions / 1.9:
Some special generalized function spaces / 1.9.1:
Convergence of generalized functions / 1.9.2:
Weak convergence and strong convergence / 1.9.3:
A boundedness property / 1.9.4:
Linear operators / 1.9.5:
Operations on Generalized Functions / 1.10:
Differentiation of generalized functions / 1.10.1:
The Multiplication and Division of Generalized Functions / 1.11:
Structures of Generalized Functions / 1.12:
The Tensor Product of Distributions / 1.13:
The Convolution of Generalized Functions / 1.14:
Fundamental Solutions of Linear Differential Operators / 1.15:
Problems
Fourier Transforms of Distributions / 2:
The Fourier Transform of Tempered Distributions / 2.1:
The generalized Fourier transform / 2.2.1:
Fourier transforms in L[superscript 2] / 2.2.2:
Examples / 2.2.3:
Properties of the Fourier Transform / 2.3:
The Fourier transform of a convolution of generalized functions / 2.3.1:
Applications / 2.4:
Application of the Fourier transform to differential equations / 2.4.1:
Application of the Fourier transform to a convolution equation / 2.4.2:
Dual Integral Equations with Trigonometric Kernels / 2.5:
Existence of Fundamental Solutions of a Certain Boundary Value Problem / 2.6:
The Fourier Transform on D[prime] / 2.7:
Distributional Boundary Values of Analytic Functions / 2.8:
The Fourier Transform on E[prime] / 2.9:
The Structure of Generalized Functions in Z[prime] / 2.10:
The Cauchy Problem for the Two Dimensional Diffusion Equation / 2.11:
Fourier Transforms of Ultradistributions / 3:
Ultradifferentiable Functions / 3.1:
The function M([rho]) / 3.2.1:
The Space E(M[subscript p];[Omega]) / 3.3:
The Space D(M[subscript p];[Omega]) / 3.4:
Some Operations on Test Functions / 3.5:
The Fourier Transform of Ultradifferentiable Functions / 3.6:
Ultradistributions / 3.7:
Convolution of ultradistributions / 3.7.1:
Structure of ultradistributions / 3.7.2:
The Fourier Transform of Ultradistributions / 3.8:
Paley-Wiener theorem / 3.8.1:
The Cauchy Integral Representation for Ultradistributions of Compact Support / 3.9:
The Poisson Integral Representation / 3.10:
Tempered Ultradistributions / 3.11:
The Spaces D[subscript r](M[subscript p];R[superscript n]) and D[prime subscript r](M[subscript p];R[superscript n]) / 3.12:
Laplace Transform / 4:
The Test Function Space L[subscript a] and Its Dual L[prime subscript a] / 4.1:
The Laplace Transform of Generalized Functions / 4.3:
Analyticity / 4.3.1:
Important properties / 4.3.3:
Inversion / 4.4:
Convolution / 4.5:
An Operational Calculus / 4.6:
A Cauchy Problem for the Diffusion Equation / 4.7:
Laplace Transform via Fourier Transform / 4.8:
Ordinary Linear Differential Equations with Constant Coefficients / 4.9:
The Non-Homogeneous Heat Equation / 4.10:
An Integro-Differential Equation / 4.11:
Asymptotic Behaviour of the Laplace Transform of Functions / 4.12:
Asymptotic Behaviour of the Laplace Transform of Generalized Functions / 4.13:
Stieltjes Transform / 5:
The Test Function Spaces S[subscript alpha](I) and S[subscript alpha](I) / 5.1:
Preliminary Lemmas / 5.3:
The Distributional Stieltjes Transform / 5.4:
Asymptotic behaviour of F[superscript (m)](x) / 5.4.1:
A Complex Inversion Theorem / 5.5:
A Real Inversion Theorem / 5.6:
Iteration of the Laplace Transform / 5.7:
Abelian Theorems for the Stieltjes Transform of Functions / 5.8:
Quasi-Asymptotic and Abelian Theorems / 5.9:
Hilbert Transform / 6:
The Schwartz Test Function Space D[subscript L[superscript p]] and Its Dual D[prime subscript L[superscript p]] / 6.1:
The Hilbert transform on [characters not reproducible] / 6.2.1:
The Hilbert Transform of Generalized Functions in [characters not reproducible] / 6.3:
Approximate Hilbert Transform / 6.4:
Distributional Representation of Analytic Functions / 6.5:
The Hilbert Problem for Generalized Functions / 6.6:
Existence and Uniqueness of the Solution to a Dirichlet Problem / 6.7:
Hilbert Transform via Fourier Transform / 6.8:
The Hilbert Transform of Ultradistributions / 6.9:
Modified Hilbert Transforms / 6.10:
The Spaces H[subscript alpha characters not reproducible] and K[subscript alpha characters not reproducible] / 6.11:
Distributional Modified Hilbert Transforms / 6.12:
Finite Hilbert Transform / 6.13:
Mellin and Watson Transforms / 7:
The Test Function Spaces M[subscript a,b] and M(w, z) and Their Duals / 7.1:
The Mellin Transform / 7.3:
The Space T([lambda],[mu]) and the Mellin Transform / 7.4:
The Watson Transform on T([lambda,mu]) / 7.7:
Examples and Applications / 7.8:
Product Convolutions and Fractional Integral Operators on T([lambda],[mu]) / 7.9:
A Dual Distributional Equation of Titchmarsh Type / 7.10:
Hankel Transforms of Distributions / 8:
The Test Function Space H[subscript mu] and its Dual H[prime subscript mu] / 8.1:
Operations on H[subscript mu] and H[prime subscript mu] / 8.2.1:
Hankel Transforms on H[subscript mu] and H[prime subscript mu] / 8.3:
The n-dimensional Distributional Hankel Transform / 8.4:
Fractional Integrals and Hankel Transforms / 8.5:
Dual Integral Equations of Titchmarsh Type / 8.7:
Existence / 8.7.1:
Regularity / 8.7.2:
Uniqueness / 8.7.3:
An Extension of H[subscript mu] by Kernel Method / 8.8:
The Hankel transform of generalized functions in G[prime subscript mu, alpha](I) / 8.8.1:
Inversion and Uniqueness / 8.9:
Axisymmetric Dirichlet Problem for a Thick Plate / 8.10:
Hankel Transforms of Ultradistributions / 9:
Test Function Spaces and Their Duals / 9.1:
Some Operations on Test Function Spaces / 9.3:
Operation of multiplication by x / 9.3.1:
Multiplication by an infinitely differentiable function / 9.3.2:
The differential operator D / 9.3.3:
Some other differential and integral operators / 9.3.4:
Operations in dual spaces / 9.3.5:
The Hankel Transform of Test Functions / 9.4:
The Generalized Hankel Transform of Ultradistributions / 9.5:
The Hankel Transform of Arbitrary Order / 9.6:
Some Operational Formulae / 9.7:
The Hankel Transform of Ultradistributions of Rapid Growth / 9.8:
The test function spaces [characters not reproducible] / 9.8.1:
The Hankel transform of arbitrary order / 9.8.2:
A Dirichlet Problem in Cylindrical Coordinates / 9.9:
Kontorovich-Lebedev Transform / 10:
The Test Function Space K(I) and Its Dual / 10.1:
The Kontorovich-Lebedev Transform of Generalized Functions / 10.3:
The Function G[subscript N](t, x) / 10.4:
Dirichlet's Problem for a Wedge with a Distributional Boundary Condition / 10.5:
The Hankel-Form of the Kontorovich-Lebedev Transform / 10.8:
Generalized Mehler-Fock Transform / 11:
The Test Function Space M[superscript alpha subscript beta](I) and Its Dual / 11.1:
The Distributional Generalized Mehler-Fock Transform / 11.3:
The Function F[subscript N](t, x) / 11.4:
A Dirichlet Problem with a Distributional Boundary Condition / 11.5:
Certain Dual Integral Equations / 11.8:
Eigenfunction Expansion of Generalized Functions / 12:
The Test Function Space N(I) / 12.1:
The Sturm-Liouville Expansion of Genralized Functions in N[prime](I) / 12.3:
Special Cases / 12.4:
Expansion in Fourier series / 12.4.1:
Expansion in a series of Jacobi polynomials / 12.4.2:
Expansion in a series of Legendre polynomials / 12.4.3:
Expansion in series of spherical harmonics / 12.4.4:
Expansion in series of Bessel functions / 12.4.5:
Dirichlet Problem for the Interior of a Unit Sphere / 12.5:
Temperature in a Long Cylinder / 12.7:
A Mathematical Model of Volcanoes / 12.8:
Bibliography
Index of Symbols
Author Index
Subject Index
Preface
Normed and Countably Normed Spaces / 1:
Introduction / 1.1:
6.

図書

図書
Chuan-Chih Hsiung
出版情報: Cambridge, MA : International Press, c1997  xvi, 343 p. ; 24 cm
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7.

図書

図書
editors, N. Kono, N-R.Shieh
出版情報: Singapore : World Scientific, c1997  viii, 355 p. ; 23 cm
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8.

図書

図書
János Kollár, Robert Lazarsfeld, David R. Morrison, editors
出版情報: Providence, R.I. : American Mathematical Society, c1997  2 v. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 62
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目次情報: 続きを見る
Geometry and Topology of Algebraic Surfaces: Homological algebra and algebraic surfaces / F. CatanesePart 1:
The bicanonical map for surfaces of general type / C. Ciliberto
Donaldson and Seiberg-Witten invariants of algebraic surfaces / R. Friedman
Moduli of vector-bundles on surfaces / K. G. O'Grady
Braid groups, algebraic surfaces and fundamental groups of complements of branch curves / M. Teicher
Higher Dimensional Algebraic Geometry: A view on contractions of higher dimensional varieties / M. Andreatta ; J. Wisniewski
Stable pairs and log flips / A. Bertram
Multiplier ideals, vanishing theorems and applications / L. Ein
Singularities of pairs / J. Kollar
Vanishing, singularities and effective bounds via prime characteristic local algebra / K. E. Smith
Motives and Connections with Arithmetic: Lectures on mixed motives / S. Bloch
Period domains over finite and local fields / M. Rapoport
Hermitian vector bundles on arithmetic varieties / C. Soule
Real Algebraic Varieties and Singularities: Invariants of generic plane curves and invariants of singularities / S. M. Gusein-Zade
Enumerative geometry for real varieties / F. Sottile
Quantum Cohomology and Connections with Physics: Seiberg-Witten integrable systems / R. DonagiPart 2:
Notes on stable maps and quantum cohomology / W. Fulton ; R. Pandharipande
Mapping class groups and moduli spaces of curves / R. Hain ; E. Looijenga
Algebraic and symplectic geometry of Gromov-Witten invariants / J. Li ; G. Tian
Fundamental Groups and Non-Abelian Hodge Theory: On the Shafarevich maps / L. Katzarkov
The Hodge filtration on nonabelian cohomology / C. Simpson
Complex Geometry: Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials / J.-P. Demailly
Twistors for tourists: A pocket guide for algebraic geometers / C. LeBrun
Toric Geometry: Recent developments in toric geometry / D. A. Cox
Equations defining toric varieties / B. Sturmfels
Geometry and Topology of Algebraic Surfaces: Homological algebra and algebraic surfaces / F. CatanesePart 1:
The bicanonical map for surfaces of general type / C. Ciliberto
Donaldson and Seiberg-Witten invariants of algebraic surfaces / R. Friedman
9.

図書

図書
edited by Thomas E. Cecil, Shiing-Shen Chern
出版情報: Cambridge : Cambridge University Press, 1997  xvii, 349 p. ; 24 cm
シリーズ名: Mathematical Sciences Research Institute publications ; v. 32
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10.

図書

図書
Leonid S. Frank
出版情報: Amsterdam : IOS Press , Tokyo : Ohmsha [distributor], c1997  xvii, 352 p. ; 25 cm
シリーズ名: Analysis and its applications / series editors, S. Agmon ... [et al.] ; v. 1
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