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A generalized inversion formula for the continuous Jacobi transform

A generalized inversion formula for the continuous Jacobi transform

... GENERALIZED INI/ERSION FORMULA FOR THE CONTINUOUS ACOBI TRANSFORM whc,-e.. is given by.[r] ... See full document

22

Continuous Generalized Hankel Type Wavelet Transformation

Continuous Generalized Hankel Type Wavelet Transformation

... the generalized Hankel-type wavelet transformation is ...the generalized Hankel-type wavelet transformation is given by a ...and inversion formula for the generalized Hankel-type ... See full document

10

The finite continuous nonsymmetric Jacobi transform and applications

The finite continuous nonsymmetric Jacobi transform and applications

... Inversion formula for the finite continuous nonsymmetric Jacobi transform ...this transform was revived by the work of ...finite continuous nonsym- metric Jacobi ... See full document

12

A distributional Hardy transformation

A distributional Hardy transformation

... transferring the inversion formula onto the testing function space for the generalized functions under consideration and then showing that the limiting... process in the resulting formul[r] ... See full document

9

On Inversion of Continuous Wavelet Transform

On Inversion of Continuous Wavelet Transform

... time-frequency transform (1) is a set of frequency-indexed ...general inversion of CWT with timescale being real. This inversion gives an explicit definition of wavelet’s ...The inversion ... See full document

7

4. Exchange formula for generalized Lambert transform and its extension to  Boehmians

4. Exchange formula for generalized Lambert transform and its extension to Boehmians

... exchange formula for the generalized Lambert trans- form, by defining a suitable product in the range of generalized Lambert transform on E 0 ((0, ...the generalized Lambert ... See full document

8

The Continuous Wavelet Transform for A Bessel Type Operator on the Half Line

The Continuous Wavelet Transform for A Bessel Type Operator on the Half Line

... the generalized and Bessel continuous wavelet ...eralized continuous wavelet transform a Plancherel for- mula, a pointwise reconstruction formula and a Calderon reproducing ... See full document

8

Inversion Formula For Fourier Jacobi Wavelet Transform

Inversion Formula For Fourier Jacobi Wavelet Transform

... Integral transform involving special functions as kernels have been used by many authors for the construction of wavelets and wavelet ...Hankel transform and Laguerre ...Fourier- Jacobi ... See full document

6

Iterated Stieltjes transform of generalized functions

Iterated Stieltjes transform of generalized functions

... Our main objective in this paper is to extend the transform 1.4’ to generalized functions, and to prove the inversion formula 1.5 in the distributional sense.. The distributional extensi[r] ... See full document

8

3.Calderon-reproducing formula for the  continuous Wavelet transform related to  the Weinstein operator

3.Calderon-reproducing formula for the continuous Wavelet transform related to the Weinstein operator

... the generalized Fourier transform associated with the Weinstein ...This transform is called the Weinstein ...this transform was first introduced by Grossmann and Morlet [7] and ... See full document

14

On two new characterizations of Steiltjes transforms for distributions

On two new characterizations of Steiltjes transforms for distributions

... A real inversion formula for generalized Stieltjes transform of generalized functions,igarh Bull.. On a generalized Stieltjes transform of a class of generalized functions, Bull.[r] ... See full document

5

The continuous Jacobi transform

The continuous Jacobi transform

... The purpose of this paper is to define the continuous Jacobi transform, study its basic properties and develop an inversion theorem... The continuous Jacobi..[r] ... See full document

16

Some results on a generalized ω Jacobi transform

Some results on a generalized ω Jacobi transform

... In Section 2, we obtain images of certain functions under our generalized ω-Jacobi transform. We introduce and study a new probability density function (pdf) involv- ing the generalized ... See full document

9

A general scheme for constructing inversion algorithms for cone
beam CT

A general scheme for constructing inversion algorithms for cone beam CT

... Radon transform theory to obtain an FBP type cone beam transform inversion formula deals with the problem of disconti- nuities of the weight in one way or ... See full document

17

Generalized Jacobi–Weierstrass operators and Jacobi expansions

Generalized Jacobi–Weierstrass operators and Jacobi expansions

... Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii–Stechkin type inequalities are also considered.. MSC: 41A35; 47D06 Keywords: Jac[r] ... See full document

14

A New Inversion Formula for Laplace Transforms and the Notion of Evenness

A New Inversion Formula for Laplace Transforms and the Notion of Evenness

... famous inversion formula ( the work of Davis ([1]) we use the analytic continuation of trans- forms from [0, ∞ ) to the axis (a − i ∞ , a + i ∞ ) ...the inversion formula of theorem 2 ( the ... See full document

5

The continous Legendre transform, its inverse transform, and applications

The continous Legendre transform, its inverse transform, and applications

... Continuous Legendre Transform, Inverse Legendre Transform, Inversion ormulae, Shannon Sampling Theorem, Truncation Error Estimate, Behaviour of Legendre Functions Near Singular Points.. [r] ... See full document

21

Weyl transforms associated with the Riemann Liouville operator

Weyl transforms associated with the Riemann Liouville operator

... [6] M. Herberthson, A numerical implementation of an inverse formula for CARABAS raw data, In- ternal Report D 30430-3.2, National Defense Research Institute, FOA, Link¨oping, 1986. [7] N. N. Lebedev, Special ... See full document

19

A representation of Jacobi functions

A representation of Jacobi functions

... the present work, the continuous Jacobl transform is used to derzve a series representation of Jacobi functions.. tion includes that for the Legendre function given in [3]..[r] ... See full document

11

A Double Expansion Formula for Generalized Multivariable Gimel-Function Involving Jacobi Polynomials and Bessel Functions

A Double Expansion Formula for Generalized Multivariable Gimel-Function Involving Jacobi Polynomials and Bessel Functions

... of generalized hypergeometric functions play an important rôle in the development of the theories of special functions and two- dimensional boundary value ...expansion formula for generalized ... See full document

8

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