introduction: wavelet transform is one of the useful and suitable tools for time series and signal analysis. nowadays wavelet transform is frequently used in geophysical data processing and interpretation, especially seismic data. however, the use of this method isn’t widespread in gravity and geomagnetic. fedi and quarta (1998), martelet et al. (2001) and de oliveira lyrio (2004) used the wave...

Wavelet transformation is one of the most practical mathematical transformations in the field of image processing, especially image and signal processing. Depending on the nature of the multiresolution analysis, Wavelet transformation become more accessible and powerful tools. In this paper, we refer to the mathematical foundations of this transformation.   Introduction: The...

In this paper the wavelet transformation on Gelfand and Shilov spaces of type WM ( ), W (∆) and W M (∆ ) is studied. It is shown that Wψφ :WM ( )→WM ( n × +), Wψφ :W Ω (∆)→W (∆ × +) andWψφ :W M (∆)→W M (∆ × +) is linear and continuous where n and ∆ are n-dimensional real numbers and complex numbers. A boundedness result in a generalized Sobolev space is derived.

F. ESMAEELZADEH∗,‡, R. A. KAMYABI GOL†,§ and R. RAISI TOUSI∗,¶ ∗Department of Pure Mathematics, Ferdowsi University of Mashhad P. O. Box 1159-91775, Mashhad, Iran †Department of Pure Mathematics, Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) P. O. Box 1159-91775, Mashhad, Iran ‡[email protected] §[email protected] ¶raisi...

Received (Day Month Year) Revised (Day Month Year) Communicated by (xxxxxxxxxx) We review the coherent state or group-theoretical construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases.. Finally we give some indications on the CWT on a...

A signal processed by the Discrete Wavelet Transform (DWT) must be periodic for perfect reconstruction to be possible. A signal that is non-periodic but which exists for a nite time can be \periodised" by repeating the signal again at its own end, making it suitable for processing by the DWT. For a continuous-time non-periodic signal, the signal has no end and as such it cannot be periodised an...

Rob A. Zuidwijk CWI E-mail: [email protected] Url: http://www.cwi.nl/cwi/projects/wavelets.html November 6, 1997 Abstract In this lecture, the continuous wavelet transform will be discussed and some attention will be given to the discrete wavelet transform. Finally, wavelet transforms on multidimensional data will be considered. The set-up of the lecture is as follows: 1. The continuous wavelet t...

For a range of Hardy and Bergman spaces X and sets of uniqueness K we show that for any functional φ ∈ X∗ there exists a sequence of measures (μn) supported on K converging weak* to φ. In particular, we consider H2 of the right half plane and obtain a Carleman–type formula for the continuous wavelet transform.