International Workshop on Transmutation Operators and Related Topics

First Announcement

The Department of Mathematics, Cinvestav is pleased to invite you to participate in the International Workshop on Transmutation Operators and Related Topics to be held on 17 and 18 September, 2019 in the Main Auditorium of the Querétaro Campus of the Cinvestav. The program of the workshop will include one-hour lectures and 20-minute talks on recent progress in transmutation (transformation) operator theory and applications, the spectral parameter power series method, spectral theory, forward and inverse spectral and coefficient problems, and related methods and models of mathematical physics. The Organizing Committee will have limited support available for students wishing to take part in the Workshop. No registration fee will be charged.

Those who wish to participate are asked to kindly send an e-mail to the address wise2016queretaro@gmail.com before September 6, 2019. Be sure to include your full name and your institution. If you are interested in giving a talk or a lecture, give us its title and a brief abstract. The detailed program will be announced later.

Photos

Program

Program in PDF: HERE

Tuesday, September 17, 2019

Place: Auditorium

10:00–11:00 REGISTRATION
11:00–11:10 OPENING CEREMONY
Chair: V. Kravchenko
11:10–12:00 SERGEY SITNIK
Historical survey of transmutation theory: persons and results
12:10–13:00 VLADIMIR RABINOVICH
One-dimensional Dirac operators with delta-interactions
13:00–13:20 SERGII TORBA
An improved NSBF representation for regular solution of perturbed
Bessel equations
13:20–14:20 L U N C H
Chair: S. Torba
14:20–15:10 RAFAEL DEL RÍO
Resonances under Rank One Perturbations
15:10–16:00 SERGEI GRUDSKY
Soliton theory and Hankel operators
16:00–16:20 B R E A K
Chair: R. del Río
16:20–17:10 VLADISLAV KRAVCHENKO
A method for practical solution of forward and inverse spectral problems on finite and infinite intervals
17:10–18:00 LUIS O. SILVA
Sampling, oversampling, and subsampling in de Branges spaces: recent results
18:00–18:20 ULISES VELASCO
Non-Linear Fourier transform using transmutation operators and SPPS representations
18:20–18:40 FRANCISCO EDUARDO URBANO ALTAMIRANO
Research of dispersion problem in quantum waveguides by means of spectral parameter power series

Wednesday, September 18, 2019

Place: Auditorium

Chair: V. Barrera
9:30–10:20 ELINA SHISHKINA
Method of Riesz potentials applied to solution to nonhomogeneous singular wave equations
10:20–11:10 SERGEY SITNIK
Integral Transform Composition Method (ITCM) in transmutation theory: how it works
11:10–11:30 B R E A K
Chair: M. Porter
11:30–12:20 VÍCTOR BARRERA-FIGUEROA
On the spectra of one-dimensional Schrödinger operators with interactions on R
12:20–13:10 RAÚL CASTILLO PÉREZ
A method for computation of scattering amplitudes and Green functions of whole axis problems
13:10–13:20 CONFERENCE PHOTO
13:20–14:20 L U N C H
Chair: R. Castillo
14:20–15:10 JOAO MORAIS
To Be Announced
15:10–15:30 R. MICHAEL PORTER
Perturbed Bessel equation with several spectral parameters
15:30–15:50 VÍCTOR ALFONSO VICENTE BENÍTEZ
Transmutation operators and complete systems of solutions for the d-dimensional radial Schrödinger equation
15:50–16:10 B R E A K
Chair: E. Shishkina
16:10–16:30 SAMANTHA ANA CRISTINA LOREDO RAMÍREZ
On the Green’s function of a quantum waveguide with perturbations
16:30–16:50 LETICIA OLIVERA RAMÍREZ
Spectral analysis of one-dimensional Schrödinger operators with two point interactions
16:50–17:10 FLOR ALBA GÓMEZ GÓMEZ
Neumann series of Bessel functions representations for solutions of linear higher order differential equations
17:10–17:20 B R E A K
Chair: J. Morais
17:20–17:40 LUIS ENRIQUE GEN ROMERO
Analytical and numerical analysis of waveguides and photonic crystals using the SPPS method
17:40–18:00 RAYBEL GARCÍA ANCONA
Contragenic Functions on Spheroidal Domains
18:00–18:20 PABLO ENRIQUE MOREIRA GALVÁN
Runge theorem for solutions of (D +Mα )φ = 0
18:20–18:30 CLOSING PROGRAM

Organizing Committee

  • Vladislav V. Kravchenko
  • R. Michael Porter
  • Sergii M. Torba