Open AccessConditional integral transforms with related topics on function space
Author(s) -
Hyun Chung,
Jae Hwi Choi,
Seung Jun Chang
Publication year - 2012
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1206151c
Subject(s) - mathematics , convolution (computer science) , integral transform , product (mathematics) , conditional expectation , class (philosophy) , space (punctuation) , convolution theorem , function (biology) , daniell integral , conditional probability distribution , pure mathematics , mathematical analysis , integral equation , fourier transform , singular integral , computer science , fractional fourier transform , artificial intelligence , statistics , geometry , fourier analysis , evolutionary biology , artificial neural network , biology , operating system
In this paper we study the conditional integral transform, the conditional convolution product and the first variation of functionals on function space. For our research, we modify the class Sα of func- tionals introduced in (7). We then give the existences of the conditional integral transform, the conditional convolution product and the first variation for functionals in Sα. Finally, we give various relationships and formulas among conditional integral transforms, conditional convolution products and first variations of functionals in Sα.
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