Perforation 发表于 2025-3-21 16:57:03
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http://reply.papertrans.cn/71/7020/701999/701999_2.png惊奇 发表于 2025-3-22 00:46:45
Introduction of the Operator h Through the Convolution Ring Ce in the .; we shall denote the class of those functions by C[0,∞) or simply by the letter C. The convolution of two functions a = a(t) and b = b(t) of . is defined by . and we have PROPOSITION 1. a*b belongs to .; i.e., a*b(t) is a continuous function defined on [0, ∞).戏法 发表于 2025-3-22 04:41:26
http://reply.papertrans.cn/71/7020/701999/701999_4.png看法等 发表于 2025-3-22 11:02:30
Heat Equationdenote the ., c the ., and ρ the . of the bar. Furthermore, let the lateral surface of the bar be perfectly insulated so that heat can flow in and flow out only through the ends of the bar. If we denote by z(λ,t) the temperature at the point of the bar at abcissa λ at the instant t, then the heat equation in the bar is吞吞吐吐 发表于 2025-3-22 13:42:13
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http://reply.papertrans.cn/71/7020/701999/701999_7.pngovation 发表于 2025-3-23 00:26:23
Introduction of the Operator s Through the Ring CHLet ..then,for any k = h.∈H and f ∈c,we have ..Trochlea 发表于 2025-3-23 05:11:42
http://reply.papertrans.cn/71/7020/701999/701999_9.png咒语 发表于 2025-3-23 05:40:00
Fractional Powers of Hyperfunctions h, s and These functions are respectively defined by Euler’s* integrals: