an indefinite inverse spectral problem of stieltjes type
play

An indefinite inverse spectral problem of Stieltjes type Andreas - PowerPoint PPT Presentation

Nov 14, 2023 •8 likes •138 views

An indefinite inverse spectral problem of Stieltjes type Andreas Fleige, OTIND 2016 (joint work with Henrik Winkler) direct problem: given an operator, examine its spectral properties inverse problem: given some spectral properties, reconstruct

  1. An indefinite inverse spectral problem of Stieltjes type Andreas Fleige, OTIND 2016 (joint work with Henrik Winkler) direct problem: given an operator, examine its spectral properties

  2. inverse problem: given some spectral properties, reconstruct an associated operator

  3. indefinite generalizations: 6

  4. direct indefinite Stieltjes approach:

  5. indefinite Krein Feller operator of Stieltjes type:

  6. results according to [Fl., 1996]: Remark:

  7. two kinds of particular functions:

  8. two kinds of particular functions:

  9. characteristic properties: gonal gonal

  10. characteristic properties:

  11. inverse result: Assumptions:

  12. inverse result: Theorem:

  13. inverse result: Corollary:

Recommend

Inverse problems in a quantum waveguide Eric Soccorsi Aix Marseille Universit e In

Inverse problems in a quantum waveguide Eric Soccorsi Aix Marseille Universit e In

Introduction Inverse spectral problem Spectral analysis Uniqueness result Time dependent case More on band functions Inverse problems in a quantum waveguide Eric Soccorsi Aix Marseille Universit e In collaboration with Mourad

711 views • 41 slides
General spectral graph theory: The inverse eigenvalue problem of a graph Department of

General spectral graph theory: The inverse eigenvalue problem of a graph Department of

. . . . . . . . . . . . . . . . General spectral graph theory: The inverse eigenvalue problem of a graph Department of Mathematics and Statistics, University of Victoria Dec 10, 2017 General spectral graph theory: IEPG 1/18 .

551 views • 36 slides
On the Inverse Spectral Problem for Graphs with Cycles Pavel Kurasov Lund University, SWEDEN

On the Inverse Spectral Problem for Graphs with Cycles Pavel Kurasov Lund University, SWEDEN

On the Inverse Spectral Problem for Graphs with Cycles Pavel Kurasov Lund University, SWEDEN July 17, 2008 Kurasov (Lund) Inverse Problem for Graphs with Cycles Gregynog 2008 1 / 20 Introduction Introduction 1 Quantum graphs Spectral

456 views • 34 slides
An Inverse Spectral Problem for Inhomogeneous Media Sam Cogar (Joint work with David Colton and

An Inverse Spectral Problem for Inhomogeneous Media Sam Cogar (Joint work with David Colton and

An Inverse Spectral Problem for Inhomogeneous Media Sam Cogar (Joint work with David Colton and YJ Leung) Department of Mathematical Sciences University of Delaware October 5, 2016 Research supported by AFOSR and ARL Sam Cogar (University of

738 views • 15 slides
fi Finnish Centre of Excellence in Inverse Problems Research p. 1/28 1 Inverse problem in

fi Finnish Centre of Excellence in Inverse Problems Research p. 1/28 1 Inverse problem in

Geometric methods for inverse problems Matti Lassas AB HELSINKI UNIVERSITY OF TECHNOLOGY Institute of Mathematics fi Finnish Centre of Excellence in Inverse Problems Research p. 1/28 1 Inverse problem in applications Travel time

567 views • 28 slides
On Inverse Halftoning: A General Problem General Problem: . . . Our First Result: . . .

On Inverse Halftoning: A General Problem General Problem: . . . Our First Result: . . .

Halftoning is an Ill- . . . Inverse Halftoning: POCS Wavelet Inverse . . . Fast Inverse Halftoning What We Are . . . On Inverse Halftoning: A General Problem General Problem: . . . Our First Result: . . . Computational Complexity Reduction

443 views • 22 slides
Course on Inverse Problems Albert Tarantola Lesson VI: a) General Formulation of the Inverse

Course on Inverse Problems Albert Tarantola Lesson VI: a) General Formulation of the Inverse

Princeton University Department of Geosciences Course on Inverse Problems Albert Tarantola Lesson VI: a) General Formulation of the Inverse Problem Inverse Problems In a typical inverse problem, one has: model parameters M = { m 1 , m 2 , . .

455 views • 7 slides
Calibration: an essential Calibration: an essential inverse problem inverse problem Haroldo

Calibration: an essential Calibration: an essential inverse problem inverse problem Haroldo

Calibration: an essential Calibration: an essential inverse problem inverse problem Haroldo Fraga de Campos Velho Lab. Associado de Computao e Matemtica Aplicada E-mail: haroldo@lac.inpe.br http://www.lac.inpe.br/~haroldo 3 Colquio

826 views • 66 slides
Spectral regularization methods for statistical inverse learning problems G. Blanchard

Spectral regularization methods for statistical inverse learning problems G. Blanchard

Spectral regularization methods for statistical inverse learning problems G. Blanchard Universtit at Potsdam van Dantzig seminar, 23/06/2016 Joint work with N. M ucke (U. Potsdam) Rates for statistical inverse learning van Dantzig

414 views • 38 slides
On Non-stability of some Inverse Problem in Inverse Problem in Option Pricing Option Pricing

On Non-stability of some Inverse Problem in Inverse Problem in Option Pricing Option Pricing

On Non-stability of some On Non-stability of some Inverse Problem in Inverse Problem in Option Pricing Option Pricing Peter Math Introduction, main results Peter Math Modulus of continuity for classes of Weierstrass Institute,

840 views • 57 slides
IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral

IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral

IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral filtering, Regularization, Noise revealing a 1 , M. Ple singer 2 , Z. Strako s 3 I. Hn etynkov hnetynko@karlin.mff.cuni.cz ,

616 views • 58 slides
IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral

IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral

IllPosed Inverse Problems in Image Processing Introduction, Structured matrices, Spectral filtering, Regularization, Noise revealing a 1 , M. Ple singer 2 , Z. Strako s 3 I. Hn etynkov hnetynko@karlin.mff.cuni.cz ,

854 views • 60 slides
IMRT the inverse problem and inverse planning Laurence Court, PhD University of Texas MD

IMRT the inverse problem and inverse planning Laurence Court, PhD University of Texas MD

IMRT the inverse problem and inverse planning Laurence Court, PhD University of Texas MD Anderson Cancer Center lecourt@mdanderson.org Prepared for: School on Medical Physics for Radiation Therapy: Dosimetry and Treatment Planning for

1.21k views • 89 slides
Inverse scattering problem from an impedance obstacle Lee, Kuo-Ming Department of Mathematics,

Inverse scattering problem from an impedance obstacle Lee, Kuo-Ming Department of Mathematics,

Scattering Problem Inverse Scattering Problem Numerical examples Inverse scattering problem from an impedance obstacle Lee, Kuo-Ming Department of Mathematics, NCKU 5 th Workshop on Boundary Element Methods, Integral Equations and Related

907 views • 67 slides
Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the

Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the

Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the potentials L. Amour and J. Faupin , Abstract We consider the AKNS (Ablowitz-Kaup-Newell-Segur) operator on the unit interval with po-

518 views • 9 slides
Page 1 Inverse Problems - Examples Inverse Problems - Theory inverse problem

Page 1 Inverse Problems - Examples Inverse Problems - Theory inverse problem

Outline Theory example 1D deconvolution Fourier method Algebraic method Inverse Problems discretization matrix properties regularization solution methods Ivo Ihrke Computed Tomography (CT) Radon

304 views • 12 slides
Inverse conductivity problem and the Beltrami equation Samuli Siltanen , University of Helsinki,

Inverse conductivity problem and the Beltrami equation Samuli Siltanen , University of Helsinki,

Inverse conductivity problem and the Beltrami equation Samuli Siltanen , University of Helsinki, Finland Applied Inverse Problems, Vienna, July 21, 2009 http://math.tkk.fi/inverse-coe/ This is a joint work with Kari Astala University of

531 views • 36 slides
Inverse spectral results for Schr odinger operators on the unit interval with partial

Inverse spectral results for Schr odinger operators on the unit interval with partial

Inverse spectral results for Schr odinger operators on the unit interval with partial informations given on the potentials , J. Faupin and T. Raoux L. Amour Abstract We pursue the analysis of the Schr odinger operator on the

467 views • 18 slides
Similarity problem for indefinite SturmLiouville operators Mark Malamud (joint work with

Similarity problem for indefinite SturmLiouville operators Mark Malamud (joint work with

Similarity problem for indefinite SturmLiouville operators Mark Malamud (joint work with I.Karabash and A.Kostenko J. Diff. Eqs. 246 (2009), 964997) Institute of Applied Mathematics and Mechanics, Donetsk, Ukarine Dubrovnik 11 May, 2009

630 views • 38 slides
Problems that led me to Gunther Uhlmann David Isaacson RPI 1. Inverse problem in

Problems that led me to Gunther Uhlmann David Isaacson RPI 1. Inverse problem in

Problems that led me to Gunther Uhlmann David Isaacson RPI 1. Inverse problem in electrocardiography. 2. Inverse boundary value problem for conductivity. GU Can we improve the diagnosis and treatment of heart disease? How does the heart

1.47k views • 146 slides
Basic Definitions and The Spectral Estimation Problem Lecture 1 Lecture notes to accompany

Basic Definitions and The Spectral Estimation Problem Lecture 1 Lecture notes to accompany

Basic Definitions and The Spectral Estimation Problem Lecture 1 Lecture notes to accompany Introduction to Spectral Analysis Slide L11 by P. Stoica and R. Moses, Prentice Hall, 1997 Informal Definition of Spectral Estimation Given: A finite

1.49k views • 125 slides
Integrability for the AdS 3 / CFT 2 spectral problem Spectral problem for AdS 3 / CFT 2 : Energy

Integrability for the AdS 3 / CFT 2 spectral problem Spectral problem for AdS 3 / CFT 2 : Energy

Integrability in AdS 3 / CFT 2 Olof Ohlsson Sax Nov 16, 2015 Based on work done together with A. Babichenko, R. Borsato, A. Dekel, T. Lloyd, A. Sfondrini, B. Stefaski and A. Torrielli AdS 3 / CFT 2 AdS 3 backgrounds preserving 16

1.19k views • 103 slides
Inverse Semigroups: some open questions John Meakin University of NebraskaLincoln March 2012

Inverse Semigroups: some open questions John Meakin University of NebraskaLincoln March 2012

Inverse Semigroups: some open questions John Meakin University of NebraskaLincoln March 2012 Six Problems Problem 1: Does every finite inverse semigroup admit a finite F -inverse cover? Problem 2: Is the word problem decidable for all

394 views • 17 slides
Indefinite linear matrix pencils and the multi-eigenvalue problem Hasen Mekki ZTRK

Indefinite linear matrix pencils and the multi-eigenvalue problem Hasen Mekki ZTRK

Indefinite linear matrix pencils and the multi-eigenvalue problem Hasen Mekki ZTRK University of Reading Based on joint work with Michael Levitin August, 2017 IWOTA 1 / 37 Outline Pencils 1 A matrix pencil example 2

383 views • 37 slides

More recommend