ANALYSIS AND APPROXIMATION THEORY SEMINAR UNIVERSITY OF ALBERTA Wavelets and Pre-wavelets in Low Dimensions y

نویسندگان

  • Sherman D. Riemenschneider
  • Zuowei Shen
چکیده

In [RS], an explicit orthonormal basis of wavelets forL 2 (IR s ), s = 1; 2; 3, was constructed from a multiresolution approximation given by box splines. In other words, L 2 (IR s ) has the orthogonal decomposition

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fault Strike Detection Using Satellite Gravity Data Decomposition by Discrete Wavelets: A Case Study from Iran

Estimating the gravity anomaly causative bodies boundary can facilitate the gravity field interpretation. In this paper, 2D discrete wavelet transform (DWT) is employed as a method to delineate the boundary of the gravity anomaly sources. Hence, the GRACE’ satellite gravity data is decomposed using DWT. DWT decomposites a single approximation coefficients into four distinct components: the appr...

متن کامل

APPLICATION OF HAAR WAVELETS IN SOLVING NONLINEAR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new met...

متن کامل

On the Approximation of a Continuous Function f(x, y) by its Two Dimensional Legendre Wavelet Expansion

1. Natanson I. P.(1949), Constructive Function Theory, Gosudarstvennoe Izdatel’stvo Tehniko-Teoreticeskoi Literatury, Moscow . 2. Chui C. K.(1992), An Introduction to wavelets(Wavelet analysis and its applications), Vol. 1, Academic Press, USA. 3. Daubechies I.(1992) ,”Ten Lectures on Wavelets” SIAM, Philadelphia. 4. Meyer Y.(1993), (Toulouse (1992))(Meyer Y. and Roques S.,eds.), Frontiers, vet...

متن کامل

Non-MSF a-Wavelets from a-Wavelet Sets

Generalizing the result of Bownik and Speegle [Approximation Theory X: Wavelets, Splines and Applications, Vanderbilt University Press, pp. 63–85, 2002], we provide plenty of non-MSF A-wavelets with the help of a given A-wavelet set. Further, by showing that the dimension function of the non-MSF A-wavelet constructed through an A-wavelet set W coincides with the dimension function of W , we con...

متن کامل

Wavelet Galerkin Method for the Solution of Nonlinear Klein-Gordon Equations By Using B-Spline Wavelets

This paper aims to obtain approximate solutions of the one-dimensional nonlinear Klein-Gordon equation by employing Cubic B-spline wavelets. Our scheme uses the Galerkin method and approximates the solution in the terms of cubic B-spline scaling and wavelet functions. These wavelets are applied as testing and weighting functions. Because of some properties of these wavelets such as having compa...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010