Almost-Orthogonality in Fourier Analysis
نویسندگان
چکیده
منابع مشابه
Global Orthogonality Implies Local Almost-orthogonality
We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums. 0. Introduction. First, an apology. The title, though correct, is somewhat misleading. It should be “Global almostorthogonality implies...
متن کاملCotlar-Stein Almost Orthogonality Lemma
When deriving the estimates on integral operators one often uses the Almost Orthogonality principle of M. Cotlar and E.M. Stein, first proved by M. Cotlar in [Cot55]. This result is classical; our excuse for formulating it once again is a need to have its weighted form which sometimes allows to reduce the number of integrations by parts in half (hereby weakening smoothness requirements), and al...
متن کاملOrthogonality Correction Technique in Superconvergence Analysis
A technique of orthogonality correction in an element is introduced and applied to superconvergence analysis in finite element method. Ultraconvergence results for rectangular elements of odd degree n ≥ 3 are derived in the case of variable coefficients.
متن کاملOn Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast$-module over itself, and investigate some of its properties in such spaces. We state some results relating range-kernel orthogonality in $C^*$-algebras.
متن کاملIsogeometric analysis: vibration analysis, Fourier and wavelet spectra
This paper presents the Fourier and wavelet characterization of vibratio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2020
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti2133