Focus Program on Analytic Function Spaces and their Applications

Focus Program on Analytic Function Spaces and their Applications

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Reflectionless canonical systems: almost periodicity and character-automorphic Fourier transforms

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Reflectionless canonical systems: almost periodicity and character-automorphic Fourier transforms

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Classroom Contents

Focus Program on Analytic Function Spaces and their Applications

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  1. 1 Mini-course and Workshop on Hardy Spaces Part 1
  2. 2 Mini-course and Workshop on Hardy Spaces Part 2
  3. 3 Mini-course and Workshop on Hardy Spaces Part 3
  4. 4 Mini-course and Workshop on Hardy Spaces Part 4
  5. 5 Mini-course and Workshop on Hardy Spaces Part 5
  6. 6 Mini-course and Workshop on Hardy Spaces Part 6
  7. 7 Mini-course on the Dirichlet space Part 1
  8. 8 A decomposition of analytic function spaces, with applications
  9. 9 Sarason's Ha-plitz product problem
  10. 10 Approximation and Closed ideals in some analytic spaces
  11. 11 Contributed Talk: Mirela Kohr
  12. 12 Mini-course on the Dirichlet space Part 2
  13. 13 Polynomial approximation of inverses of functions in Dirichlet-type spaces
  14. 14 The Dirichlet space on the bi-disc
  15. 15 Mini-course on the Dirichlet space (Part 3)
  16. 16 Extremal functions and invariant subspaces in Dirichlet spaces
  17. 17 Dirichlet spaces, inner functions and isometric composition operators
  18. 18 Weighted Hardy inequality on graphs with cycles. Applications to Dirichlet spaces on polydiscs
  19. 19 Mini-course on Bergman Spaces Part 1
  20. 20 The Berezin Transform on the Bergman Space
  21. 21 Composition of Analytic Paraproducts
  22. 22 Cyclicity preserving operators on spaces of analytic functions
  23. 23 Hilbert-type operator induced by radial weight
  24. 24 Mini-course on Bergman Spaces Part 2
  25. 25 Composition operators on weighted Hilbert spaces of analytic functions
  26. 26 Optimal approximants and orthogonal polynomials in several variables
  27. 27 Mini-course on Bergman Spaces Part 3
  28. 28 Hyperbolic Fourier series
  29. 29 Hilbert matrix operator on Bergman-type spaces
  30. 30 Functions of perturbed commuting dissipative operators
  31. 31 Mini-course on Model Spaces Part 1
  32. 32 Two-variable Model Spaces & Associated Realizations
  33. 33 Three problems on univalent functions in model spaces
  34. 34 Isometric dilations, models and refined von Neumann inequality for a class of tuples in the polydisc
  35. 35 hypercontractions and factorizations of multipliers in one and several variables
  36. 36 Mini-course on Model Spaces Part 2
  37. 37 Model spaces and Toeplitz kernels
  38. 38 Mini-course on Model Spaces Part 3
  39. 39 Conjugations in L2 spaces on the unit circle and the real line
  40. 40 On algebras which are inductive limits of Banach spaces
  41. 41 Harold Seymour Shapiro (1928-2021): Life in Mathematics
  42. 42 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 1: Part 1
  43. 43 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 1: Part 2
  44. 44 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 1: Part 3
  45. 45 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 1: Part 1
  46. 46 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 1: Part 2
  47. 47 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 1: Part 3
  48. 48 Mini-course on Interpolation & Sampling Part 1
  49. 49 Limits of harmonic and holomorphic functions along segments ending at the boundary
  50. 50 Contributed Talk: On a polynomial inequality of Schur
  51. 51 Contributed Talk: Dominating Sets on Bergman Spaces in Cn
  52. 52 Mini-course on Interpolation & Sampling Part 2
  53. 53 Exponential frames and syndetic Riesz sequences
  54. 54 Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergman, Hardy, and Fock Spaces
  55. 55 Gabor frames for rational functions
  56. 56 Mini-course on Interpolation & Sampling Part 3
  57. 57 The invariant subspace problem: a brief overview of recent developments
  58. 58 Optimal Prediction measures
  59. 59 Colloquium Talk on Interpolation & Sampling
  60. 60 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 2: Part 1
  61. 61 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 2: Part 2
  62. 62 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 2: Part 3
  63. 63 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 2: Part 3
  64. 64 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 2: Part 1
  65. 65 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 2: Part 2
  66. 66 Mini-course on an introduction to frames and Riesz bases Part 1
  67. 67 Exponential frames and Riesz Bases
  68. 68 Dynamical sampling, frames, and inverse problems
  69. 69 Weakly separated bessel systems of model spaces
  70. 70 Phase retrieval for wide band signals
  71. 71 Mini-course on an introduction to frames and Riesz bases part 2
  72. 72 Bases of exponentials and multi-tiles
  73. 73 Mini-course on an introduction to frames and Riesz bases Part 3
  74. 74 Zeros of the short-time Fourier transform under additive noise
  75. 75 Data-driven discovery of linear dynamical systems over graphs via dynamical sampling
  76. 76 Sign distributions for Riesz bases/frames and smooth embeddings of L2 spaces
  77. 77 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 3: Part 3
  78. 78 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 3: Part 2
  79. 79 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 3: Part 1
  80. 80 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 3: Part 1
  81. 81 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 3: Part 2
  82. 82 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 3: Part 3
  83. 83 Mini-course on Bounded Mean Oscillation Part 1
  84. 84 Measures with L2-bounded Riesz transform and the Painlevé problem for Lipschitz harmonic functions
  85. 85 Some recent developments on Riesz projections and BMO for Dirichlet series
  86. 86 Bmo extension domains: equivalent definitions and two theorems of Gehring and Osgood
  87. 87 Mini-course on Bounded Mean Oscillation Part 2
  88. 88 Multiplying H1 and BMO, dyadically
  89. 89 Clark Measures
  90. 90 Mini-course on Bounded Mean Oscillation Part 3
  91. 91 BMO and variations
  92. 92 Journé Operators with Matrix Weights
  93. 93 Phase unwinding analysis on hardy spaces, multiscale dynamic decompositions and NL fourier transform
  94. 94 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 4: Part 1
  95. 95 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 4: Part 2
  96. 96 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 4: Part 3
  97. 97 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 4: Part 1
  98. 98 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 4: Part 2
  99. 99 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 4: Part 3
  100. 100 Mini-course on de Branges-Rovnyak Spaces Part 1
  101. 101 Generalizations of de Branges-Rovnyak spaces
  102. 102 Large Kernels of Toeplitz operators and de Branges-Rovnyak spaces
  103. 103 Summability in de Branges-Rovnyak spaces
  104. 104 Analytic m-isometries and weighted Dirichlet type spaces
  105. 105 Mini-course on de Branges-Rovnyak Spaces Part 2
  106. 106 Some results on Qk spaces
  107. 107 Smooth functions in extreme de Branges-Rovnyak spaces
  108. 108 Mini-course on de Branges-Rovnyak Spaces Part 3
  109. 109 Interpolation Problems for Vector-Valued de Branges-Rovnyak Spaces and Applications
  110. 110 High-energy behaviour of Weyl coefficients
  111. 111 An indefinite analog of Sarason's generalized interpolation theorem
  112. 112 Localization of Toeplitz operators with BMO symbols
  113. 113 Mini-course on Operators on Function Spaces Part 1
  114. 114 Transformations of structures on positive definite cones of C∗ -algebras
  115. 115 Branching-type stochastic process and Toeplitz operators on rooted trees
  116. 116 A Volterra-Type Operator on Hardy Spaces and Multiplication Operators on Analytic Tent Spaces
  117. 117 Mini-course on Operators on Function Spaces Part 2
  118. 118 The Korenblum Maximum Principle for Some Function Spaces
  119. 119 Optimal Hardy inequalities for the fractional Laplacian on Lp
  120. 120 Mini-course on Operators on Function Spaces Part 3
  121. 121 Nonlocal Douglas identity in Lp
  122. 122 Spectral theory for non-self-adjoint Lévy operators in the half-line
  123. 123 Fourier uniqueness and non-uniqueness pairs
  124. 124 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 5: Part 1
  125. 125 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 5: Part 2
  126. 126 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 5: Part 3
  127. 127 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 5: Part 1
  128. 128 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 5: Part 2
  129. 129 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 5: Part 3
  130. 130 Mini-course on truncated toeplitz operators Part 1
  131. 131 On the topological structure of the set of composition operators on a space of Dirichlet series
  132. 132 A pair of commuting truncated Toeplitz operators and a local theory of stable polynomials
  133. 133 Weighted theory of Toeplitz operators on the Bergman space
  134. 134 Symbols of compact truncated Toeplitz operators
  135. 135 Mini-course on truncated toeplitz operators part 2
  136. 136 Local theory for stable polynomials with app to integrability for rational functions of variables
  137. 137 Zeros of optimal polynomial approximants in ℓpA
  138. 138 Mini-course on truncated toeplitz operators part 3
  139. 139 An Operator-Valued Version of V.P. Potapov's Matrix-valued Factorization Result
  140. 140 On the spectrum of the Hilbert matrix
  141. 141 Contractive inequalities for Hardy spaces
  142. 142 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 6: Part 1
  143. 143 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 6: Part 2
  144. 144 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 6: Part 3
  145. 145 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 6: Part 1
  146. 146 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 6: Part 2
  147. 147 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 6: Part 3
  148. 148 Mini-course on Blaschke Products & Inner Functions Part 1
  149. 149 A boundary version of the Ahlfors-Nehari-Schwarz lemma
  150. 150 Describing Blaschke products by their critical points
  151. 151 Shift invariant subspaces of composition operators
  152. 152 Analogues of finite Blaschke Products
  153. 153 Mini-course on Blaschke Products & Inner Functions Part 2
  154. 154 On the space of finite Blaschke products and the Schur algorithm
  155. 155 A family of Mobius invariant function spaces
  156. 156 Mini-course on Blaschke Products & Inner Functions Part 3
  157. 157 Carathéodory balls and proper holomorphic maps on multiply-connected planar domains
  158. 158 Homeomorphisms of finite metric and area distortion between Riemannian manifolds
  159. 159 Blaschke products and the Crouzeix conjecture
  160. 160 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 7: Part 1
  161. 161 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 7: Part 2
  162. 162 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 7: Part 3
  163. 163 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 7: Part 1
  164. 164 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 7: Part 2
  165. 165 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 7: Part 3
  166. 166 Mini-course on Discrete and Continuous Semigroups of Composition Operators Part 1
  167. 167 Absolutely summing composition operators on Bloch spaces
  168. 168 Contractive Projections and Lifting of Operators on Banach Spaces
  169. 169 Partially isometric Toeplitz operators on the polydisc
  170. 170 Weighted composition semigroups on Banach spaces of holomorphic functions
  171. 171 Mini-course on Discrete and Continuous Semigroups of Composition Operators Part 2
  172. 172 Semigroups generated by first and second order operators on Hardy spaces
  173. 173 Totally positive kernels, Polya frequency functions, and their transforms
  174. 174 Mini-course on Discrete and Continuous Semigroups of Composition Operators Part 3
  175. 175 Mean Lipschitz conditions and composition semigroups
  176. 176 Backward Maps have gone Nuclear: Factorization theorems of Backward Shifts and Nuclear Maps
  177. 177 Generators of C0-semigroups of (weighted) composition operators
  178. 178 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 8: Part 1
  179. 179 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 8: Part 2
  180. 180 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 8: Part 1
  181. 181 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 8: Part 2
  182. 182 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 8: Part 3
  183. 183 Some inverse problems in two dimensions
  184. 184 Sums of squares and applications to hypoellipticity
  185. 185 The dynamics of weighted composition operators on Fock spaces
  186. 186 Contractive inclusions between mixed-norm spaces
  187. 187 Mini-course on The Corona Problem Part 1
  188. 188 Mini-course on The Corona Problem Part 2
  189. 189 Ideal membership in the algebra of bounded analytic functions: Toeplitz corona approach
  190. 190 Invertibility threshold for Nevanlinna quotient algebras (joint work with Artur Nicolau)
  191. 191 Mini-course on The Corona Problem Part 3
  192. 192 Reflectionless canonical systems: almost periodicity and character-automorphic Fourier transforms
  193. 193 Two weight norm inequalities for singular and fractional integral operators in Rn
  194. 194 Matrix Clark measures, singular spectrum and matrix Caratheodory angular derivatives
  195. 195 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 8: Part 3
  196. 196 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 9: Part 1
  197. 197 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 9: Part 2
  198. 198 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 9: Part 3
  199. 199 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 9: Part 1
  200. 200 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 9: Part 2
  201. 201 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 9: Part 3
  202. 202 Mini-course on Non-Commutative Function Theory Part 1
  203. 203 A characterization of Henkin functionals on C∗ -algebras
  204. 204 Wold decompositions for representations of C∗ -algebras associated with noncommutative varieties
  205. 205 A trace inequality for commuting tuples of operators
  206. 206 Shift operators on harmonic Hilbert function spaces & von Neumann inequality & harmonic polynomials
  207. 207 Mini-course on Non-Commutative Function Theory Part 2
  208. 208 On the Dyson equation for 2-positive maps
  209. 209 Monotonicity, Convexity, and Realization of Noncommutative Functions
  210. 210 Mini-course on Non-Commutative Function Theory Part 3
  211. 211 Non-commutative rational multipliers of the free hardy space
  212. 212 The tracial fundamental group
  213. 213 Von Neumann conditional expectations and noncommutative representing measures
  214. 214 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 10: Part 1
  215. 215 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 10: Part 2
  216. 216 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 10: Part 3
  217. 217 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 10: Part 1
  218. 218 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 10: Part 2
  219. 219 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 10: Part 3
  220. 220 Mini-course on Drury-Arveson Space Part 1
  221. 221 Commutant lifting and Nevanlinna-Pick interpolation in several variables
  222. 222 Arveson-Douglas Conjecture and related geometric invariants
  223. 223 The Drury--Arveson space on the Siegel upper half-space and a von Neumann inequality
  224. 224 Gelfand Transformations and Boundary Representations of Complete Nevanlinna-Pick Quotients
  225. 225 Mini-course on Drury-Arveson Space Part 2
  226. 226 Higher order Schwarz-Pick inequalities on the Drury-Arveson space
  227. 227 Operators on the Drury-Arveson space
  228. 228 Mini-course on Drury-Arveson Space Part 3
  229. 229 Quotients of the Drury-Arveson space and their classification in terms of complex geometry
  230. 230 Noncommutative Convexity
  231. 231 The non-commutative analytic Toeplitz algebra and free semigroup algebras
  232. 232 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 11: Part 1
  233. 233 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 11: Part 2
  234. 234 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 11: Part 3
  235. 235 Mini-course on Convergence of scattering data and non-linear Fourier transform Part 1
  236. 236 Studying wave operators using complex analysis: some one-dimensional and multidimensional results
  237. 237 Sampling, interpolation, and uncertainty
  238. 238 Fock space of level infinity and characters of vertex operators
  239. 239 Weighted conformal invariance of Banach spaces of analytic functions
  240. 240 Uniqueness results for meromorphic inner functions on the upper half plane
  241. 241 On Cauchy–de Branges spaces of entire functions
  242. 242 Mini-course on Convergence of scattering data and non-linear Fourier transform Part 3
  243. 243 Non-symmetric Lévy-type operators
  244. 244 The entropy function of a measure and how to use it in the theory of orthogonal polynomials
  245. 245 Factorisation and RKHS
  246. 246 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 12: Part 1
  247. 247 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 12: Part 2
  248. 248 Advanced Course I: Schramm Loewner Evolution and Lattice Models Lecture 12: Part 3
  249. 249 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 11: Part 1
  250. 250 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 11: Part 2
  251. 251 Advanced Course II: Reproducing Kernel Hilbert Space of Analytic Functions Lecture 11: Part 3

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