An inversion of the Hankel potential transform of generalized functions
نویسندگان
چکیده
منابع مشابه
Generalized inversion of Toeplitz-plus-Hankel matrices
In many applications, e.g. digital signal processing, discrete inverse scattering, linear prediction etc., Toeplitz-plus-Hankel (T + H) matrices need to be inverted. (For further applications see [1] and references therein). Firstly the T +H matrix inversion problem has been solved in [2] where it was reduced to the inversion problem of the block Toeplitz matrix (the so-called mosaic matrix). T...
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abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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It is well known that the Hankel transform possesses neither a shift-modulation nor a convolution-multiplication rule, both of which have found many uses when used with other integral transforms. In this paper, the generalized shift operator, as defined by Levitan, is applied to the Hankel transform. It is shown that under this generalized definition of shift, both convolution and shift theorem...
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In the present work we introduce a finite integral transform involving combination of Bessel functions as kernel under prescribed conditions. The corresponding inversion formula and some properties of this transform have also been given. Three problems of heat conduction in an infinite, a semi-infinite and a finite circular cylinder bounded by given surfaces with radiation-type boundary value c...
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Let Hμ be the Zemanian space of Hankel transformable functions, and let H′μ be its dual space. In this paper Hμ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space O, also introduced by Zemanian, is completely characterized as the set of multipliers of Hμ and of H′μ. Certain topologies are considered on O, and continuity properties of the multiplication operation with respec...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1977
ISSN: 0040-8735
DOI: 10.2748/tmj/1178240650