Higher-order neck analysis of harmonic maps and its applications

Harmonic Analysis and Its Applications

In these lectures, we concentrate on the motivations, development and applications of the Calderon-Zygmund operator theory. Lecture 1. The differential operators with constant coefficients and the first generation of Calderon-Zygmund operators Consider the following differential operator with constant coefficients: Lu(x) = α a α ∂ α u ∂x α. By taking the Fourier transform, (Lu)(ξ) = α a α (−2πi...

the survey of the virtual higher education in iran and the ways of its development and improvement

این پژوهش با هدف "بررسی وضعیت موجود آموزش عالی مجازی در ایران و راههای توسعه و ارتقای آن " و با روش توصیفی-تحلیلی و پیمایشی صورت پذیرفته است. بررسی اسنادو مدارک موجود در زمینه آموزش مجازی نشان داد تعداد دانشجویان و مقاطع تحصیلی و رشته محل های دوره های الکترونیکی چندان مطلوب نبوده و از نظر کیفی نیز وضعیت شاخص خدمات آموزشی اساتید و وضعیت شبکه اینترنت در محیط آموزش مجازی نامطلوب است.

Higher-order metric subregularity and its applications

This paper is devoted to the study of metric subregularity and strong subregularity of any positive order q for set-valued mappings in finite and infinite dimensions. While these notions have been studied and applied earlier for q = 1 and—to a much lesser extent—for q ∈ (0, 1), no results are available for the case q > 1. We derive characterizations of these notions for subgradient mappings, de...

Higher-order Fourier Analysis and Applications

Higher Order Phantom Maps

For each ordinal number α, we define phantom maps of order α. We construct universal phantom maps out ofX with order α, and show that under easily verifiable conditions, every one of these universal phantom maps is essential. Math. Subject Classifications: 55P05, 55S36