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[SAL] Generalizations of Bender's variant of the q-Vandermonde convolution | Jonathan Bradley-Thrush (GFM, IST, University of Lisbon))
19 May 2025 2:00 pm – 3:00 pm
Room 4.6, Building VIII
Abstract:
The Chu-Vandermonde formula and its q-analogue admit a generalization, due to Bender, in which one parameter in the sum is replaced by a sequence with the property that its successive differences are each equal to 0 or 1. For this formula I will present a non-terminating extension and several other generalizations, each of which reduces to a classical result when a particular choice is made for the sequence involved. One of the results I will describe is a generalization of Bender's type for the q-binomial theorem. For this I will give a combinatorial proof in terms of overpartitions.
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[SAn] On a new class of weighted Orlicz-Sobolev spaces and their embeddings | Prof. Pierre-A. Vuillermot (Department of Mathematics, University of Lisbon and Institut Élie Cartan de Lorraine)
21 May 2025 2:15 pm – 3:15 pm
Room 4.7, Building VIII.Seminar of Analysis
Speaker: Prof. Pierre-A. Vuillermot (Department of Mathematics, University of Lisbon and Institut Élie Cartan de Lorraine).
Date/time: 21/05/2025 (Wednesday), from 14:15 to 15:15.
Location: Room 4.7, Building VIII.
Title: On a new class of weighted Orlicz-Sobolev spaces and their embeddings
Abstract: In this talk, I will introduce a new scale of weighted Orlicz-Sobolev spaces and discuss the existence of various continuous and compact embeddings for them. Continuous embeddings are relatively easy to come by, I will show that the way to compactness is more tortuous as it is based on the combination of the existence of a Schauder basis in the spaces under consideration with a condition on the generating Orlicz functions regarding their local behavior at the origin. I will illustrate the results by means of several examples.
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Who are we?
NOVA Math‘s focus is on cutting edge research, in both pure and applied mathematics, valuing the use of mathematics in the solution of real-world problems at the industrial level and of social relevance.
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One of the main strategies developed by NOVA Math is to promote the exchange of knowledge with other sciences. It is important to engage with the users of mathematics, given them the support for their research on one hand, and on another hand, to direct mathematical researchers that seek real-life problems.
Funded by national funds through the FCT – Fundação para a Ciência e a Tecnologia, I.P., under the scope of the following projects:
UIDB/00297/2020, UIDP/00297/2020, UID/MAT/00297/2019, UID/MAT/00297/2013, PEst-OE/MAT/UI0297/2014, PEst-OE/MAT/UI0297/2011.
