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1
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Connection formulas in the <italic>q</italic>-analog de Rham cohomology
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2
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Lagrangian Models of Minimal Representations of <italic>E</italic><sub>6</sub><italic>E</italic><sub>7</sub> and <italic>E</italic><sub>8</sub>
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3
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Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions
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4
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Analogies between the Langlands Correspondence and Topological Quantum Field Theory
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5
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“Forms” of the Principal Series for <italic><underline>GL</underline></italic><sub>n</sub>
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6
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Geometry of determinants of elliptic operators
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7
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Quantum groups at <italic>v</italic> = ∞
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8
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The Symplectic Operad
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9
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Quadratic unipotent representations of p-adic groups
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10
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On the Master Field in Two Dimensions
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11
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Physical Methods Applied to Donaldson Theory
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1
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Banach Spaces and Fixed-Point Theorems
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1
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Connection formulas in the <Emphasis Type="Italic">q</Emphasis>-analog de Rham cohomology
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1
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Preliminaries
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1
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The Hahn-Banach Theorem and Optimization Problems
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13
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Lagrangian Models of Minimal Representations of <Emphasis Type="Italic">E</Emphasis>
<Subscript>6</Subscript>, <Emphasis Type="Italic">E</Emphasis>
<Subscript>7</Subscript>and <Emphasis Type="Italic">E</Emphasis>
<Subscript>8</Subscript>
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23
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Semi-norms
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39
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Variational Principles and Weak Convergence
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65
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Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions
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68
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Applications of the Baire-Hausdorff Theorem
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81
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The Orthogonal Projection and F. Riesz’ Representation Theorem
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101
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Hilbert Spaces, Orthogonality, and the Dirichlet Principle
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102
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The Hahn-Banach Theorems
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119
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Analogies between the Langlands Correspondence and Topological Quantum Field Theory
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119
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Strong Convergence and Weak Convergence
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145
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Fourier Transform and Differential Equations
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153
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“Forms” of the Principal Series for <Emphasis Type="ItalicUnderline">GL</Emphasis>
<Subscript>n</Subscript>
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167
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Principles of Linear Functional Analysis
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173
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Geometry of determinants of elliptic operators
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193
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Dual Operators
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195
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Hilbert Spaces and Generalized Fourier Series
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199
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Quantum groups at ν = ∞
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209
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Resolvent and Spectrum
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223
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The Symplectic Operad
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225
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The Implicit Function Theorem
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229
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Eigenvalue Problems for Linear Compact Symmetric Operators
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231
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Analytical Theory of Semi-groups
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245
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Quadratic unipotent representations of p-adic groups
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253
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Self-Adjoint Operators, the Friedrichs Extension, and the Partial Differential Equations of Mathematical Physics
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263
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On the Master Field in Two Dimensions
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274
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Compact Operators
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281
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Fredholm Operators
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283
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Physical Methods Applied to Donaldson Theory
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294
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Normed Rings and Spectral Representation
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362
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Other Representation Theorems in Linear Spaces
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379
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Ergodic Theory and Diffusion Theory
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418
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The Integration of the Equation of Evolution
