The $G$-transform of generalized functions
نویسندگان
چکیده
منابع مشابه
ON THE SHEARLET TRANSFORM USING HYPERBOLIC FUNCTIONS
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.
متن کاملGENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
متن کاملThe Generalized Segal-bargmann Transform and Special Functions
Analysis of function spaces and special functions are closely related to the representation theory of Lie groups. We explain here the connection between the Laguerre functions, the Laguerre polynomials, and the Meixner-Pollacyck polynomials on the one side, and highest weight representations of Hermitian Lie groups on the other side. The representation theory is used to derive differential equa...
متن کاملThe Hilbert Transform Ofthe Generalized Laguerre and Hermiteweight Functions
Explicit formulae are given for the Hilbert transform Z R ? w(t)dt=(t ? x), where w is either the generalized Laguerre weight function w(t) = 0 if t 0, w(t) = t e ?t if 0 < t < 1, and > ?1, x > 0, or the Hermite weight function w(t) = e ?t 2 , ?1 < t < 1, and ?1 < x < 1. Furthermore, numerical methods of evaluation are discussed based on recursion, contour integration and saddle-point asymptoti...
متن کاملGENERATION OF ENDURANCE TIME ACCELERATION FUNCTIONS USING THE WAVELET TRANSFORM
Endurance Time Acceleration Functions are specially predesigned intensifying excitation functions that their amplitude increases with time. On the other hand, wavelet transform is a mathematical tool that indicates time variations of frequency in a signal. In this paper, an approach is presented for generating endurance time acceleration functions (ETAFs) whose response spectrum is compatible w...
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: Rocky Mountain Journal of Mathematics
سال: 1979
ISSN: 0035-7596
DOI: 10.1216/rmj-1979-9-2-307