Atmosphere
发表于 2025-3-23 13:14:56
http://reply.papertrans.cn/16/1599/159862/159862_11.png
Etymology
发表于 2025-3-23 17:01:43
Product of Hyperfunctions,tion, multiplication and division, the first two are, of course, possible as linear combinations. There are, however, problems with multiplication and division. It may even seem meaningless to consider products of hyperfunctions in a theory such as the Schwartz distribution theory which is based on
抗生素
发表于 2025-3-23 21:11:18
http://reply.papertrans.cn/16/1599/159862/159862_13.png
septicemia
发表于 2025-3-24 00:16:49
Hilbert Transforms and Conjugate Hyperfunctions,t chapter is to treat them in a unified way from the viewpoint of hyperfunction theory. It will be seen that Hilbert transformation is just the same as convolution with the hyperfunction 1/. and the conjugate Fourier series is the Hilbert transform of a periodic hyperfunction (i.e. Fourier series).
Spartan
发表于 2025-3-24 04:29:38
Poisson-Schwarz Integral Formulae,its normal derivative δФ/δn assumes specified values on the boundary. Many problems of physics and engineering can be reduced to this problem. In two-dimensional problems, an equivalent is to find an analytic function . regular in D such that Re . or Im . assumes specified values on the boundary. Wh
搜集
发表于 2025-3-24 09:30:08
http://reply.papertrans.cn/16/1599/159862/159862_16.png
壁画
发表于 2025-3-24 14:40:04
Laplace Transforms,m is worked out for hyperfunctions, the theory will have much broader applicability than it has for ordinary functions. However, we need not deal with the Laplace transform .. We can deal with it as a variant representation of the Fourier transform in the framework of the theory of the Fourier trans
Herd-Immunity
发表于 2025-3-24 18:29:03
http://reply.papertrans.cn/16/1599/159862/159862_18.png
indecipherable
发表于 2025-3-24 22:56:40
Xiaoxu Li,Marcel Wira,Ruck Thawonmasd side represents ‘something’ determined by a pair of analytic functions: ..(.), F.-(.) , and write .. We call this ‘something‘ a .. To save space, it may be written . Alternatively, we may write the pair ..(.), .-(.) simply as .(.), so that (1.2) becomes: .(.)→.(.). (1.3)
obnoxious
发表于 2025-3-25 02:08:36
http://reply.papertrans.cn/16/1599/159862/159862_20.png