In this paper we establish a universality property of Fourier and Hankel convolution operators and Dunkl transforms.
โฆ LIBER โฆ
An Application of Certain Integral Operators
โ Scribed by M.K. Aouf; H.M. Hossen; A.Y. Lashin
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 63 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
Two integral operators P โฃ and Q โฃ for analytic functions in the open unit disk โค are introduced. The object of the present paper is to give an application to a theorem of Miller and Mocanu.
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## Abstract Consider a differential form __u__ in the image of an integral operator __K__ on a smooth domain __D__ in a Riemannian manifold, i.e. __u__(__y__) = __Kf__(__y__) = โซ~__x__โ__D__~ __f__(__x__) โง __K__(__x, y__) for __y__ โ __D__. If the kernel __K__ of the integral operator is sufficien
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