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标题：Image of <svg style="vertical-align:-3.186pt;width:64.387497px;" id="M1" height="19.975" version="1.1" viewBox="0 0 64.387497 19.975" width="64.387497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.975)"> <g transform="translate(72,-56.02)"> <text transform="matrix(1,0,0,-1,-71.95,59.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝐿</tspan> </text> <text transform="matrix(1,0,0,-1,-59.25,66.41)"> <tspan style="font-size: 12.55px; " x="0" y="0">𝑝</tspan> </text> <text transform="matrix(1,0,0,-1,-52.62,59.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">(</tspan> <tspan style="font-size: 17.93px; " x="5.9716892" y="0">ℝ</tspan> </text> <text transform="matrix(1,0,0,-1,-33.25,66.41)"> <tspan style="font-size: 12.55px; " x="0" y="0">𝑛</tspan> </text> <text transform="matrix(1,0,0,-1,-26.51,59.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">)</tspan> </text> </g> </g> </svg> under the Hermite Semigroup
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作者：R. Radha ; D. Venku Naidu
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/287218
出版社：Hindawi Publishing Corporation
摘要：It is shown that the Hermite (polynomial) semigroup {𝑒−𝑡ℍ∶𝑡>0} maps 𝐿𝑝(ℝ𝑛,𝜌) into the space of holomorphic functions in 𝐿𝑟(ℂ𝑛,𝑉(𝑟