Functional Analysis (Dover Books on Mathematics) by Frigyes Riesz,Béla Sz.-Nagy

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

This monograph provides a brand new idea for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even though 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 ebook addresses new questions with regards to the asymptotic description of converging energies from the viewpoint of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and reliable issues, elevating new questions and presenting new innovations.

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 ebook develops smooth equipment and particularly the "generic chaining" to sure stochastic techniques. This equipment permits particularly to get optimum bounds for Gaussian and Bernoulli approaches. functions are given to sturdy methods, infinitely divisible methods, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to useful research.

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

This monograph bargains the reader a therapy of the speculation of evolution PDEs with nonstandard development stipulations. This classification comprises parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We strengthen tools for the research of such equations and current an in depth account of modern effects.