in this paper, we focus on the study of shearlet transform which isde ned by using the hyperbolic functions. as a result we check an admissibilitycondition such that implies the reconstruction formula. to this end, we will usethe concept of the classical shearlet, which indicates the position and directionof a singularity.

In this paper, we focus on the study of shearlet transform which isdened by using the hyperbolic functions. As a result we check an admissibilitycondition such that implies the reconstruction formula. To this end, we will usethe concept of the classical shearlet, which indicates the position and directionof a singularity.

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...

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...