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1.

図書

図書
P. Kopietz, L. Bartosch, F. Schütz
出版情報: Berlin : Springer, c2010  xiv, 375 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 798
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2.

図書

図書
V.N. Popov
出版情報: Cambridge : Cambridge University Press, 1987  viii, 216 p. ; 24 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Functional Integrals and Diagram Techniques in Statistical Physics / Part I:
Superfluid Bose Systems / Part II:
Plasma and Superfluid Fermi Systems / Part III:
Crystals, Heavy Atoms, Model Hamiltonians / Part IV:
Functional Integrals and Diagram Techniques in Statistical Physics / Part I:
Superfluid Bose Systems / Part II:
Plasma and Superfluid Fermi Systems / Part III:
3.

図書

図書
K.O. Friedrichs, H.N. Shapiro, et al
出版情報: New York : Institute of Mathematical Sciences, New York University, 1957  1 v. ; 28 cm
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4.

図書

図書
F. Langouche, D. Roekaerts, and E. Tirapegui
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co. , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Boston, c1982  xii, 313 p. ; 24 cm
シリーズ名: Mathematics and its applications ; v. 10
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5.

図書

図書
by A.D. Egorov, P.I. Sobolevsky, and L.A. Yanovich
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1993  x, 418 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 249
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6.

図書

図書
Jie Xiao
出版情報: Basel : Birkhäuser Verlag, c2006  x, 240 p. ; 24 cm
シリーズ名: Frontiers in mathematics
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目次情報: 続きを見る
Preface
Preliminaries / 1:
Background / 1.1:
Logarithmic Conformal Mappings / 1.2:
Conformal Domains and Superpositions / 1.3:
Descriptions via Harmonic Majorants / 1.4:
Regularity for the Euler-Lagrange Equation / 1.5:
Notes / 1.6:
Poisson versus Berezin with Generalizations / 2:
Boundary Value and Brownian Motion / 2.1:
Derivative-free Module via Poisson Extension / 2.2:
Derivative-free Module via Berezin Transformation / 2.3:
Mixture of Derivative and Quotient / 2.4:
Dirichlet Double Integral without Derivative / 2.5:
Isomorphism, Decomposition and Discreteness / 2.6:
Carleson Measures under an Integral Operator / 3.1:
Isomorphism to a Holomorphic Morrey Space / 3.2:
Decomposition via Bergman Style Kernels / 3.3:
Discreteness by Derivatives / 3.4:
Characterization in Terms of a Conjugate Pair / 3.5:
Invariant Preduality through Hausdorff Capacity / 3.6:
Nonlinear Integrals and Maximal Operators / 4.1:
Adams Type Dualities / 4.2:
Quadratic Tent Spaces / 4.3:
Preduals under Invariant Pairing / 4.4:
Invariant Duals of Vanishing Classes / 4.5:
Cauchy Pairing with Expressions and Extremities / 4.6:
Background on Cauchy Pairing / 5.1:
Cauchy Duality by Dot Product / 5.2:
Atom-like Representations / 5.3:
Extreme Points of Unit Balls / 5.4:
As Symbols of Hankel and Volterra Operators / 5.5:
Hankel and Volterra from Small to Large Spaces / 6.1:
Carleson Embeddings for Dirichlet Spaces / 6.2:
More on Carleson Embeddings for Dirichlet Spaces / 6.3:
Hankel and Volterra on Dirichlet Spaces / 6.4:
Estimates for Growth and Decay / 6.5:
Convexity Inequalities / 7.1:
Exponential Integrabilities / 7.2:
Hadamard Convolutions / 7.3:
Characteristic Bounds of Derivatives / 7.4:
Holomorphic Q-Classes on Hyperbolic Riemann Surfaces / 7.5:
Basics about Riemann Surfaces / 8.1:
Area and Seminorm Inequalities / 8.2:
Intermediate Setting - BMOA Class / 8.3:
Sharpness / 8.4:
Limiting Case - Bloch Classes / 8.5:
Bibliography / 8.6:
Index
Preface
Preliminaries / 1:
Background / 1.1:
7.

図書

図書
Daniel W. Stroock
出版情報: New York, N.Y. : Springer, c2011  xi, 243 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 262
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8.

図書

図書
Barry Simon
出版情報: Providence, R.I. : AMS Chelsea Pub., American Mathematical Society, c2005  xi, 306 p. ; 26 cm
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目次情報: 続きを見る
Preface to Second Edition
Preface
List of Symbols
Introduction / I:
Construction of Gaussian Processes / 1:
Some Fundamental Tools of Probability Theory / 3:
The Basic Processes / II:
The Wiener Process, the Oscillator Process, and the Brownian Bridge / 4:
Regularity Properties-1 / 5:
The Feynman-Kac Formula / 6:
Regularity and Recurrence Properties-2 / 7:
Bound State Problems / III:
The Birman-Schwinger Kernel and Lieb's Formula / 8:
Phase Space Bounds / 9:
The Classical Limit / 10:
Recurrence and Weak Coupling / 11:
Inequalities / IV:
Correlation Inequalities / 12:
Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity / 13:
Magnetic Fields and Stochastic Integrals / V:
Ito's Integral / 14:
Schrodinger Operators with Magnetic Fields / 15:
Introduction to Stochastic Calculus / 16:
Asymptotics / VI:
Donsker's Theorem / 17:
Laplace's Method in Function Space / 18:
Introduction to the Donsker-Varadhan Theory / 19:
Other Topics / VII:
Perturbation Theory for the Ground State Energy / 20:
Dirichlet Boundaries and Decoupling Singularities in Scattering Theory / 21:
Crushed Ice and the Wiener Sausage / 22:
The Statistical Mechanics of Charged Particles with Positive Definite Interactions / 23:
An Introduction to Euclidean Quantum Field Theory / 24:
Properties of Eigenfunctions, Wave Packets, and Green's Functions / 25:
Inverse Problems and the Feynman-Kac Formula / 26:
References
Index
Bibliographic Supplement
Bibliography
Preface to Second Edition
Preface
List of Symbols
9.

図書

図書
John W. Negele, Henri Orland
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley Pub. Co., c1988  xviii, 459 p. ; 25 cm
シリーズ名: Frontiers in physics ; 68
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10.

図書

図書
Barry Simon
出版情報: New York : Academic Press, 1979  ix, 296 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 86
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目次情報: 続きを見る
Preface to Second Edition
Preface
List of Symbols
Introduction / I:
Construction of Gaussian Processes / 1:
Some Fundamental Tools of Probability Theory / 3:
The Basic Processes / II:
The Wiener Process, the Oscillator Process, and the Brownian Bridge / 4:
Regularity Properties-1 / 5:
The Feynman-Kac Formula / 6:
Regularity and Recurrence Properties-2 / 7:
Bound State Problems / III:
The Birman-Schwinger Kernel and Lieb's Formula / 8:
Phase Space Bounds / 9:
The Classical Limit / 10:
Recurrence and Weak Coupling / 11:
Inequalities / IV:
Correlation Inequalities / 12:
Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity / 13:
Magnetic Fields and Stochastic Integrals / V:
Ito's Integral / 14:
Schrodinger Operators with Magnetic Fields / 15:
Introduction to Stochastic Calculus / 16:
Asymptotics / VI:
Donsker's Theorem / 17:
Laplace's Method in Function Space / 18:
Introduction to the Donsker-Varadhan Theory / 19:
Other Topics / VII:
Perturbation Theory for the Ground State Energy / 20:
Dirichlet Boundaries and Decoupling Singularities in Scattering Theory / 21:
Crushed Ice and the Wiener Sausage / 22:
The Statistical Mechanics of Charged Particles with Positive Definite Interactions / 23:
An Introduction to Euclidean Quantum Field Theory / 24:
Properties of Eigenfunctions, Wave Packets, and Green's Functions / 25:
Inverse Problems and the Feynman-Kac Formula / 26:
References
Index
Bibliographic Supplement
Bibliography
Preface to Second Edition
Preface
List of Symbols
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