CROSS-CORRELATION OF HYPERFUNCTION AND REAL- ANALYTIC FUNCTION
Keywords:
hyperfunction with compact support, real-analytic function.Abstract
We introduce an operation of cross-correlation of a hyperfunction with compact support in the real positive semiaxis and real-analytic function.
Some properties of this operation as well as examples are considered.
References
1. Sato M. Theory of Hyperfunctions / M.Sato // Journal of the Faculty of Science, Univ. of Tokyo, 1959-1960.
2. Komatsu H. An Introduction to the Theory of Generalized Functions / H.Komatsu. – Department of Mathematics Science University of Tokyo, 2000.
3. Sato M. Lecture Notes in Physics, No 39, Springer, 13, 1975.
2. Komatsu H. An Introduction to the Theory of Generalized Functions / H.Komatsu. – Department of Mathematics Science University of Tokyo, 2000.
3. Sato M. Lecture Notes in Physics, No 39, Springer, 13, 1975.
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Published
2019-03-07
How to Cite
Патра, М. І., & Шарин, С. В. (2019). CROSS-CORRELATION OF HYPERFUNCTION AND REAL- ANALYTIC FUNCTION. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(17), 81–84. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/232
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Section
Mathematics and Mechanics
