✦ LIBER ✦

Pointwise Convergence of Wavelet Expansions

✍ Scribed by G.G. Walter

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 290 KB
Volume: 80
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1995.1006

No coin nor oath required. For personal study only.

✦ Synopsis

The expansion of a distribution or function in regular orthogonal wavelets is considered. The expansion of a function is shown to converge uniformly on compact subsets of intervals of continuity. The expansion of a distribution is shown to converge pointwise to the value of the distribution where it exists. 1995 Academic Press, Inc.

📜 SIMILAR VOLUMES

Pointwise Convergence ofn-Dimensional He

Pointwise Convergence ofn-Dimensional Hermite Expansions

✍ Mark A. Pinsky; Carl Prather 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 120 KB

Convergence Properties of Wavelet Series

Convergence Properties of Wavelet Series Expansions of Fractional Brownian Motion

✍ Elias Masry 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 282 KB

We consider the approximation of a fractional Brownian motion by a wavelet series expansion at resolution 2 -l . The approximation error is measured in the integrated mean squared sense over finite intervals and we obtain its expansion as a sum of terms with increasing rates of convergence. The depe

Pointwise Convergence of Double Trigonom

Pointwise Convergence of Double Trigonometric Series

✍ C.P. Chen; P.H. Hsieh 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 459 KB

Pointwise Convergence of Multiple Trigon

Pointwise Convergence of Multiple Trigonometric Series

✍ C.P. Chen; H.C. Wu; F. Moricz 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 491 KB

Pointwise convergence of gradient-like s

Pointwise convergence of gradient-like systems

✍ Christian Lageman 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 232 KB

## Abstract S. Łojasiewicz has shown that the __ω__ ‐limit sets of the trajectories of analytic gradient systems consist of at most one point. We extend this result to the larger class of gradient‐like vector fields satisfying an angle condition. In particular, this includes gradient systems, defin

Impedance matrix compression with the us

Impedance matrix compression with the use of wavelet expansions

✍ Z. Baharav; Y. Leviatan 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 514 KB

## Wavelet expansions have been used recently in numerical solutions of integral equations encountered in various electromagnetic scatteringproblems. In these solutions one utilizes the power of the wavelet basis functions to localize the problem impedance matrix. Thus, after the impedance matrix ha