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[CT062]

CT062 (1/1) : Functions of one variable (26A) / Distributions, generalized functions, distribution spaces (46F) / Functional analysis (46-) / Miscellaneous applications of functional analysis (46N)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : In various suitable habitat scenarios, the Elzaki decomposition method is used to handle the fractional order relaxation and damped oscillation equation along with the time-fractional spatial diffusion biological population model. According to the graphs for the found solutions, fractional relaxation is a super-slow phenomenon due to its protracted descent, and fractional damped oscillation is an intermediate process that explains damped oscillation dynamic systems generated by some attenuated oscillations. The biological population model of time-fractional spatial diffusion portrays a rapid increase in population density in an ecosystem migrating from an unfavourable zone to a good habitat.
Classification : 26A33, 33E12, 35A22, 34C26, 60J70
Format : Online Talk on Zoom
Author(s) :
- Daya Lal Suthar (Wollo University)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : Wavelet transform and discrete image processing are one of the important subjects in the field of information engineering. However, although the use of the generalised function in Fourier transform is possible, it is difficult to apply to wavelet transform by using the generalised function. On the other hand, the delta function is mainly used in discrete image analysis. In this study, we have considered their applicability using the Sato’s hyperfunction.
Classification : 46F15, 32A45, 65T60, 65D18, 46T30
Format : Talk at Waseda University
Author(s) :
- HIROSHI MURAYAMA
- HIROSHI MURAYAMA (Graduate School of Science and Engineering, SOKA University)
- Yoshio ISHII (Faculty of Science and Engineering, SOKA University)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : We introduce an operator valued Short-Time Fourier Transform for certain classes of operators with operator window, and show that the transform acts in an analogous way to the STFT for functions. This object reflects the time-frequency behaviour for datasets of functional data in both a intra- and inter-functional manner, showing the function-wise time-frequency distribution and cross correlation of time-frequency concentration between datapoints, hence combining desirable aspects of existing basis selection methods for functional data science.
Classification : 46-XX, 62R10
Format : Talk at Waseda University
Author(s) :
- Monika Dörfler (University of Vienna)
- Franz Luef (Norwegian University of Science and Technology (NTNU))
- Henry McNulty (Norwegian University of Science and Technology (NTNU))
- Eirik Skrettingland (NA)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : We discuss unique continuation results for certain generalized ray transforms. We prove that if the generalized ray transform of a function vanishes along all lines passing through an open set in Euclidean space, and the function vanishes in that same open set, then the function vanishes identically. We give an example to show that the second assumption cannot be removed. We also consider generalized transforms on higher order objects such as vector fields, symmetric 2-tensor fields etc., and under the same hypotheses, show that a certain component vanishes. Since such ray transforms have a non-trivial kernel, this is the optimal result that one can expect.
Classification : 46F12, 35J40, 45Q05
Format : Talk at Waseda University
Author(s) :
- Divyansh Agrawal (TIFR Centre for Applicable Mathematics (CAM))
- Venkateswaran P. Krishnan (TIFR Centre for Applicable Mathematics (CAM))
- Suman Kumar Sahoo (University of Jyvaskyla)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
Type : Industrial Contributed Talk
Abstract : This research discusses another way to solve Second-Order Cone Programming of a tree genetic diversity. We propose a method based on a splitting augmented Lagrangian method (SALM) and an implementation of a homogenous self-dual (HSD) concept to a sub-problem that belongs to convex programming. Furthermore, we utilize operator splitting to review the existence of HSD. An optimal solution for tree genetic diversity can be obtained by using the modified SALM.
Classification : 46N10, 47N10, 90C26, 35Q49, 97M40
Format : Online Talk on Zoom
Author(s) :
- Alvian Alif Hidayatullah (Sepuluh Nopember Institute of Technology)
- Sena Safarina (Sepuluh Nopember Institute of Technology)
- Subchan Subchan (Sepuluh Nopember Institute of Technology)
- Makoto Yamashita (Tokyo Institute of technology)