1 | Wavelets and fractals | 2 |
| | Wavelets and analysis of partial differential equations / Stephane Jaffard | 3 |
| | Methods of solving dilation equations / Christopher Heil | 15 |
| | Characterization of singularities / Stephane Mallat, Wen Liang Hwang | 47 |
| | Complex analysis and frames in sampling theory / William Heller | 101 |
| | Stationary frames and spectral estimation / John J. Benedetto | 117 |
| | Density of fuzzy attractors: A step towards the solution of the inverse problem for fractals and other sets / Carlos Cabrelli, Ursula Molter | 163 |
| | Multifractal measures / Jacques Peyriere | 175 |
| | Applications of Gabor and wavelet expansions to the Radon transform / David Walnut | 187 |
| | Normal numbers and dynamical systems / Gavin Brown | 207 |
| | Linear and non-linear decomposition of images using Gabor wavelets / Bruce W. Suter, Matthew Kabrisky, Steven K. Rogers, Erik J. Fretheim, Dennis W. Ruck, Michael Mueller | 217 |
| | Multiresolution analyses, tiles, and scaling functions / W. R. Madych | 233 |
II | Applications in engineering | 245 |
| | Innovations and entropy rate with applications in factorization, spectral estimation, and prediction / Athanasios Papoulis | 247 |
| | Generation of accurate broadband information from narrowband data using the Cauchy method / T. K. Sarkar, R. S. Adve | 263 |
| | Infinite divisibility and the identification of singular waveforms / Alfred S. Carasso | 273 |
| | Certain results on spatiotemporal random fields and their applications in environmental research / George Christakos | 287 |
| | Sharp results on irregular sampling of bandlimited functions / Karlheinz Grochenig | 323 |
| | Some recent results on the sampling theorem / Christian Houdre | 337 |
| | Spectral analysis of random fields with random sampling / I-Shang Chou, Keh-Shin Lii | 343 |
| | Application of probabilistic and self-organising neural networks in pattern recognition: a tutorial paper / D. Nandagopal | 369 |
| | Quantum holography and neurocomputer architectures / Walter Schempp | 383 |
| | Random surface geometries with applications to image processing / Daniel Keenan | 469 |
III | Applications in mathematics & computer science | 479 |
| | Some continuations of the work of Paley and Zygmund on random trigonometric series / Jean-Pierre Kahane | 481 |
| | Empirical characteristic functional analysis and inference in sequence spaces / Ulug Capar | 517 |
| | Is probability a part of mathematical truth? / Donald J. Newman | 535 |
| | Extension of radial positive-definite distributions in R[superscript n] and maximum entropy / Jean-Pierre Gabardo | 543 |
| | The phase behaviour of ultraflat unimodular polynomials / B. Saffari | 555 |
| | Fixed points in mixed spectrum analysis / Benjamin Kedem, Silvia Lopes | 573 |
| | Monte Carlo periodograms / T. W. Korner | 593 |
| | A class of equivalent measures / Stamatis Koumandos | 605 |
IV | Stochastic calculus | 615 |
| | Second order Hamilton-Jacobi equations in infinite dimensions and stochastic optimal control problems / P. Cannarsa, G. Da Prato | 617 |
| | Nuclear space-valued stochastic differential equations with applications / Gopinath Kallianpur | 631 |
| | A basic view of stochastic integration / Ron C. Blei | 649 |
| | On the entropy of certain stochastic measures / A. Bisbas, C. Karanikas | 663 |
| | The geometry of attractors for a class of iterated function systems / Mauro Piccioni, Massimo Regoli | 669 |
| Problems | 687 |
| Index | 691 |