MATHEMATICAL ANALYSIS WITH APPLICATIONS Seminar

 

PROGRAM

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Predavanja možete pratiti i online putem MITEAM stranice Seminara iz matematičke analize sa primenama :
https://miteam.mi.sanu.ac.rs/asset/hZE2tSHENWhH8tYoB

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Plan rada Seminara iz matematičke analize sa primenama za DECEMBAR 2025.

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Četvrtak, 04.12.2025. u 16:00, Sala 301f, MI SANU, Kneza Mihaila 36 i Online
Maša Đorić, Matematički institut SANU
Polinomijalna entropija indukovanih homeomorfizama na prostoru $C\left(S^1\right)$
Hiperprostor $C\left(S^1\right)$ je kompaktan metrički prostor čiji su elementi neprazni kompaktni povezani podskupovi od $S^1$. Ako je f homeomorfizam na $S^1$, onda je poznato da je topološka entropija indukovanog preslikavanja na $C\left(S^1\right)$ jednaka nuli, pa možemo izračunati njegovu polinomijalnu entropiju.

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Četvrtak, 11.12.2025. u 15:00, Online
Bogdan Djordjevic, Mathematical Institute of the Serbian Academy of Sciences and Arts
SUMMATION TECHNIQUES FOR HYPERHARMONIC SERIES IN BANACH ALGEBRAS AND MODULES
In this talk we will present some newly obtained results regarding integral representations of the sums of some Banach-space-valued hyperharmonic-like series. We will discuss some natural modifications of this scalar problem, and we will demonstrate that some standard integral representations (via polygamma and hypergeometric functions) remain valid in the commutative Banach-algebra case. However, once we drop the commutativity assumption, or, more generally, once we replace the standard invertibility with some generalized invertibillity, we will see that the analogy to the numerical series is lost. Finally, we will use the same techniques to evaluate the sum of a hyperharmonic series defined in an appropriate Banach bimodule, or, more generally, defined in a tensor product of several Banach bimodules.

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