2013
DOI: 10.1155/2013/356724
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Compatibility Conditions and the Convolution of Functions and Generalized Functions

Abstract: The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the discussed spaces follows from earlier results and the proofs given at the end of this paper.

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Cited by 6 publications
(13 citation statements)
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References 43 publications
(82 reference statements)
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“…Table 1 shows the damage categories and impact categories that are specific to the ReCiPE method. The IMPACT2002 + method has identified 14 environmental impacts and 4 damage categories, including: human health, ecosystem quality, climate change and resource exploitation [20]. Table 2 shows the categories specific to the second IMPACT2002 + method used.…”
Section: Methodsmentioning
confidence: 99%
“…Table 1 shows the damage categories and impact categories that are specific to the ReCiPE method. The IMPACT2002 + method has identified 14 environmental impacts and 4 damage categories, including: human health, ecosystem quality, climate change and resource exploitation [20]. Table 2 shows the categories specific to the second IMPACT2002 + method used.…”
Section: Methodsmentioning
confidence: 99%
“…In recent years, more and more researchers are interested in the above defined classes (see [9,11,[14][15][16][17][18][19][20][21][22]). …”
Section: Journal Of Function Spacesmentioning
confidence: 99%
“…• both sets A, B in R 1 are unbounded from both sides: unbounded both from the left and from the right. [7], [8] and [15]). Case 3 • can be extended to R d in various manners.…”
Section: Compatibile Setsmentioning
confidence: 99%
“…An interesting extension are sets which can be described as infinite spirals or helices with a suitable way of developing their coils in R d . Notice that compatible sets which are unbounded in each direction of R d can be obtained in this way (see [15]).…”
Section: Compatibile Setsmentioning
confidence: 99%
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