A Complex Analysis Problem Book by Daniel Alpay

Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)

This monograph provides a brand new concept for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even if part of mathematical morphology, the specialproperties yield many straightforward, strong and illuminating resultsleading to a singular nonlinear multiresolution research with pulsesthat will be as common to imaginative and prescient as wavelet research is toacoustics.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This publication addresses new questions concerning the asymptotic description of converging energies from the point of view of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and reliable issues, elevating new questions and featuring new options.

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

The booklet develops glossy equipment and particularly the "generic chaining" to sure stochastic tactics. This tools permits specifically to get optimum bounds for Gaussian and Bernoulli methods. purposes are given to reliable techniques, infinitely divisible techniques, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to practical research.

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (Atlantis Studies in Differential Equations)

This monograph deals the reader a remedy of the idea of evolution PDEs with nonstandard development stipulations. This type comprises parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We boost tools for the examine of such equations and current a close account of modern effects.