Îñâ³òà: Ëüâ³âñüêèé äåðæàâíèé óí³âåðñèòåò ³ìåí³ ²âàíà Ôðàíêà (ñïåö³àëüí³ñòü - ìàòåìàòèêà, 2000 ð.)

Íàóêîâèé ñòóï³íü: êàíäèäàò ô³çèêî-ìàòåìàòè÷íèõ íàóê (01.01.01- ìàòåìàòè÷íèé àíàë³ç, 2008 ð.)

Â÷åíå çâàííÿ: Ñòàðøèé äîñë³äíèê (2022 ð.)

Ïîñàäà: Çàâ³äóâà÷ â³ää³ëó

Îáëàñòü íàóêîâèõ ³íòåðåñ³â:

• Ïîë³íîìè òà àíàë³òè÷í³ ôóíêö³¿ íà áàíàõîâèõ ïðîñòîðàõ
• Òåîð³ÿ áàíàõîâèõ ïðîñòîð³â
• Áàíàõîâ³ àëãåáðè òà àëãåáðè Ôðåøå
• гâíîì³ðí³ àëãåáðè òà ìàêñèìàëüí³ ³äåàëè
• Ñèìåòðè÷í³ àíàë³òè÷í³ ôóíêö³¿ íà áàíàõîâèõ ïðîñòîðàõ

  Îñíîâí³ ïóáëiêàöi¿:

  1. Çàãîðîäíþê À., ×åðíåãà ². Àëãåáðà ñèìåòðè÷íèõ àíàë³òè÷íèõ ôóíêö³é íà ïîë³äèñêó â // Ìàò. â³ñíèê ÍÒØ. – 2007. – 4. – Ñ. 100–106.
  2. Chernega I.V., Zagorodnyuk A.V. Application of generalized Rademacher function to investigation of algebras of symmetric analytic functions on // Ìàòåìàòè÷í³ ñòó䳿. – 2004. – 21, ¹ 1. – Ñ. 64–71.
  3. ×åðíåãà ².Â. Óçàãàëüíåííÿ ïîëÿðèçàö³éíî¿ ôîðìóëè äëÿ íåîäíîð³äíèõ ïîë³íîì³â ³ àíàë³òè÷íèõ â³äîáðàæåíü // Íàóê. â³ñí. ×åðí³âåöüêîãî óí-òó. Âèï. 191-192. Ìàòåìàòèêà. – ×åðí³âö³: Ðóòà. – 2004. – Ñ. 141–146.
  4. Chernega I., Zagorodnyuk A. Generalization of the polarization formula for nonhomogeneous polynomials and analytic mappings on Banach spaces // Topology. – 2009. – V.48. – P. 197–202.
  5. Chernega I., Galindo P. and Zagorodnyuk A. Some algebras of symmetric analytic functions and their spectra // Proc. Edinburgh Math. Soc. – 2012. – Vol.55. – P. 125–142.
  6. Chernega I., Galindo P., Zagorodnyuk A. The convolution operation on the spectra of algebras of symmetric analytic functions // J. Math. Anal. Appl. – 2012. – Vol. 395, ¹ 2. – P. 569–577.
  7. Chernega I., Galindo P., Zagorodnyuk A. The multiplicative convolution operation on the spectra of algebras of symmetric analytic functions // Rev. Mat. Complut. – 2014. – Vol. 27, ¹ 2. – P. 575–585.
  8. Chernega I. Homomorphisms of the algebra of symmetric analytic functions on // Carpathian Math. Publ. – 2014. – Vol.6, ¹ 2. – P. 394–398.
  9. Chernega I.V. Symmetric polynomials and holomorphic functions on infinite dimensional spaces // Journal of Vasyl Stefanyk Precarpathian National University. – 2015. – Vol. 2, no. 4. – P. 23-49.
  10. Çàãîðîäíþê À.Â., ×åðíåãà ².Â. Ñèìåòðè÷í³ àíàë³òè÷í³ ôóíêö³¿ íà // Áóêîâèíñüêèé ìàòåì. æóðíàë. – 2015. – T.3, ¹ 3-4. – Ñ. 78–82.
  11. Chernega I.V. A semiring in the spectrum of the algebra of symmetric analytic functions in the space $\ell_1.$ J. Math. Sci. 2016, 212, 38-45. doi: 10.1007/s10958-015-2647-3
  12. Chernega I.,Zagorodnyuk À. Unbounded symmetric analytic functions on // Math. Scand. – 2018. - 122 (1), 84-90. DOI: https://doi.org/10.7146/math.scand.a-102082
  13. Chernega I., Zagorodnyuk A. Note on bases in algebras of analytic functions on Banach spaces // Carpathian Mathematical Publications. – 2019. – Vol. 11, ¹ 1. – Ð. 42-47. doi:10.15330/cmp.11.1.42-47
  14. Chernega I., Holubchak O., Novosad Z., Zagorodnyuk A. Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces // Eur. J. Math. 2020. – 6 – P. 153-163. doi: 10.1007/s40879-019-00390-z
  15. Chernega, I., Fushtei, V., Zagorodnyuk, A. Power operations and differentiations associated with supersymmetric polynomials on a Banach space // Carpathian Mathematical Publications, 2020, 12(2), pp. 360–367. https://doi.org/10.15330/cmp.12.2.360-367
  16. Burtnyak I., Chernega I., Hladkyi V., Labachuk O., Novosad Z. Application of Symmetric Analytic Functions to Spectra of Linear Operators. // Carpathian Math. Publ. – 2021. – Vol. 13. -P. 701-710. https://doi.org/10.15330/cmp.13.3.701-710
  17. Chernega I., Baziv N. Symmetric polynomials on the tensor product of the space of absolutely convergent sequences // AIP Conference Proceedings 2483, 030004 (2022); https://doi.org/10.1063/5.0115691
  18. Chernega I., Zagorodnyuk A. Supersymmetric Polynomials and a Ring of Multisets of a Banach Algebra // Axioms 2022, 11, 511. https://doi.org/10.3390/axioms11100511
  19. Chernega I, Martsinkiv M, Vasylyshyn T, Zagorodnyuk A. Applications of Supersymmetric Polynomials in Statistical Quantum Physics // Quantum Reports. 2023; 5(4):683-697. https://doi.org/10.3390/quantum5040043

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