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inversion formula for the Dunkl-Wigner Transform and Compactness Property for the Dunkl-Weyl Transforms

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Journal of Mathematical Research with Applications 2015年第4期35卷 425-434页

作者： Fethi SOLTANI Department of Mathematics Faculty of ScienceJazan University

We define and study the Fourier-Wigner transform associated with the Dunkl operators,and we prove for this transform an inversion ***,we introduce and study the Weyl transforms W;associated with the Dunkl operators,where cr is a symbol in the Schwartz space S（R;×R;）.An integral relation between the precedent Weyl and Wigner transforms is *** last,we give criteria in terms of σ for boundedness and compactness of the transform W;.

关键词： Dunkl transform Dunkl-Wigner transform Dunkl-Weyl transforms inversion formula boundedness and compactness

A NEW INTEGRAL TRANSFORM AND ITS APPLICATIONS

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Acta Mathematica Scientia 2015年第6期35卷 1386-1400页

作者： H.M.SRIVASTAVA 罗旻杰 R.K.RAINA Department of Mathematics and Statistics University of Victoria Department of Mathematics East China Normal University Department of Mathematics M.P.University of Agriculture and Technology

In the present paper, the authors introduce a new integral transform which yields a number of potentially useful （known or new） integral transfoms as its special cases. Many fundamental results about this new integral transform, which are established in this paper, in- clude （for example） existence theorem, Parseval-type relationship and inversion formula. The relationship between the new integral transform with the H-function and the H-transform are characterized by means of some integral identities. The introduced transform is also used to find solution to a certain differential equation. Some illustrative examples are also given.

关键词： Laplace transform Sumudu transform natural transform H-function H- transform inversion formula Parseval-type relationship existence theorem Borel-Dzrbashjan transform Fubini's theorem Weierstrass's test Heaviside generalized function

ON THE (p,q)-MELLIN TRANSFORM AND ITS APPLICATIONS

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Acta Mathematica Scientia 2021年第5期41卷 1719-1732页

作者： Pankaj JAIN Chandrani BASU Vivek PANWAR Department of Mathematics South Asian University Akbar BhawanChanakya PuriNew Delhi-110021India

In this paper,we introduce and study a(p,q)-Mellin transform and its corresponding convolution and *** terms of applications of the(p,q)-Mellin transform,we solve some integral ***,a(p,q)-analogue of the Titchmarsh th... 详细信息

关键词： q-Mellin transform (p q)-Mellin transform inversion formula convolution integral equation

A Fourier Reconstruction Algorithm in π-Scheme Short-Scan SPECT

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Wuhan University Journal of Natural Sciences 2013年第2期18卷 97-101页

作者： SHI Tingting WANG Jinping Faculty of Science Ningbo University

In this paper, an approximate analytical algorithm in the form of direct Fourier reconstruction is obtained for the recon- struction of data functions arisen from ^-scheme short-scan sin- gle-photon emission computed tomography（SPECT） with uniform attenuation, and the modified central slice theorem is developed. Numerical simulations are conducted to demonstrate the effec- tiveness of the developed method.

关键词： single-photon emission computed tomography(SPECT) inversion formula Fourier reconstruction algorithm thecentral slice theorem n -scheme short-scan

About Spherical Functions on SL(2,R)

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Acta Mathematica Sinica,English Series 1997年第2期13卷 199-206页

作者： Shu Lisheng (Department of Mathematics,Anhui Normal University,Wuhu 241000,China)Zheng Weixing (Department of Mathematics,Nanjing University,Nanjing 210093,China) Department of Mathematics Anhui Normal University Department of Mathematics Nanjing University

In this paper,we will discuss some properties of the(n,m)-spherical fuctions on the Lie group G=SL(2, R),and obtain the decomposition of f in C_c^4(G)into these *** we give the Fourier inversion formula for the(n,m)-s... 详细信息

关键词： SL(2,R),(n,m)-spherical functions K-weight inversion formula