This is the fourth talk in the series of lectures to be organized under the title Online Open Mathematics Forum – An initiative of the MTTS Trust.


Title of the talk

Some Special Types of Functions and Operator Theory

Speaker

Prof. V. M. Sholapurkar

Date

23 January 2021
Time : 4:30 PMVenue : Online Lecture

The lecture will be conducted through Zoom video conference platform. Only 80 requests will be accepted to join the zoom video conference lecture.

Others, who could not get entry in to the zoom meeting may watch it live at YouTube.

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Streaming


YouTube Streaming URL : https://youtu.be/7gt8-yKRE5w

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Meeting details


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https://us02web.zoom.us/j/85190587201?pwd=SDR6ZVlYWEtkMWtSVENtWXoydlZnQT09

Meeting ID: 851 9058 7201
Passcode: 314512

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Lecture starts at 4:30 PM. Logins will be permitted during 4:15 PM to 4:30 PM.

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Abstract of the talk

We begin with some special types of real valued functions on [0, ∞) and the sequences obtained by restricting these functions to the set of non-negative integers. It turns out that these sequences are closely associated to the theory of operators on Hilbert spaces. In this lecture, we propose to discuss this association. In the process, we shall briefly describe the classical Hausdorff Moment Problem.

References :
1. J. Agler , Hypercontractions and Subnormality, J. Operator Theory 13 (1985), 203-217.
2. A. Athavale, On completely hyperexpansive operators, Proc. Amer. Math. Soc. 124 (1996), 3745-3752.
3. C. Berg, J. P. R. Christensen, P. Ressel , Harmonic Analysis on Semigroups , Springer Verlag , New York, 1984
4. D. Widder, The Laplace Transform, Pinceton University Press, NJ, 1946

Who may attend?

The talk is aimed at the third year B.Sc and first/second year MSc (Mathematics) students.