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Regularization of divergent integrals in spaces of generalized periodic functions
Myronyk Vadym 1
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: divergent integrals, generalized periodic functions
Abstract

We prove the statement about the regulation in the extension of the periodic ultradistribution of the functions that have in the fixed point peculiarity of the exponential order.

References

[1] Gorbachuk V.I. Boundary problems for differential operator equations V.I. Gorbachuk - Kyiv: Nauk. dumka, 1984. - 284 p.

[2] Gorbachuk V.I. On ultra-distributed periodic Fourier series / V.I. Gorbachuk / / Ukr. mate. journal - 1982. - T. 34, № 2. - p. 144-150.

[3] Myronyk V.I. Zero sets of one class of analytic functionals / Vadym Ilyich Myronyk, Vasyl Vasyl'nych Gorodetsky // Scientific Bulletin of the Chernivtsi National University: 3b. scientific pr. Issue 288. Mathematics. - Chernivtsi: Ruta, 2006. - P. 80-89.

[4] Gelfand I.M. Spaces of basic and generalized functions / I.M. Gelfand, G.E. Shilov. M.: Fizmatgiz, 1958. - 307 p.

Cite
ACS Style
Myronyk, V. Regularization of divergent integrals in spaces of generalized periodic functions. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Myronyk V. Regularization of divergent integrals in spaces of generalized periodic functions. Bukovinian Mathematical Journal. 2018; 1(528 ).
Chicago/Turabian Style
Vadym Myronyk. 2018. "Regularization of divergent integrals in spaces of generalized periodic functions". Bukovinian Mathematical Journal. 1 no. 528 .
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