A New Approach to Inverse Spectral Theory, I. Fundamental Formalism

Barry Simon

doi:10.2307/121061

A New Approach to Inverse Spectral Theory, I. Fundamental Formalism

Annals of Mathematics ◽

10.2307/121061 ◽

1999 ◽

Vol 150 (3) ◽

pp. 1029 ◽

Cited By ~ 76

Author(s):

Barry Simon

Keyword(s):

Spectral Theory ◽

New Approach ◽

Inverse Spectral Theory ◽

Inverse Spectral

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A New Approach to Inverse Spectral Theory, II. General Real Potentials and the Connection to the Spectral Measure

Annals of Mathematics ◽

10.2307/2661393 ◽

2000 ◽

Vol 152 (2) ◽

pp. 593 ◽

Cited By ~ 58

Author(s):

Fritz Gesztesy ◽

Barry Simon

Keyword(s):

Spectral Theory ◽

Spectral Measure ◽

New Approach ◽

Inverse Spectral Theory ◽

Inverse Spectral

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A new approach to inverse spectral theory, III. Short-range potentials

Journal d Analyse Mathématique ◽

10.1007/bf02791540 ◽

2000 ◽

Vol 80 (1) ◽

pp. 319-334 ◽

Cited By ~ 11

Author(s):

Alexander Ramm ◽

Barry Simon

Keyword(s):

Spectral Theory ◽

Short Range ◽

New Approach ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Inverse spectral theory for semiclassical Jaynes–Cummings systems

Mathematische Annalen ◽

10.1007/s00208-015-1259-z ◽

2015 ◽

Vol 364 (3-4) ◽

pp. 1393-1413 ◽

Cited By ~ 7

Author(s):

Yohann Le Floch ◽

Álvaro Pelayo ◽

San Vũ Ngọc

Keyword(s):

Spectral Theory ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Inverse spectral theory as influenced by Barry Simon

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday - Proceedings of Symposia in Pure Mathematics ◽

10.1090/pspum/076.2/2307754 ◽

2007 ◽

pp. 741-820 ◽

Cited By ~ 10

Author(s):

Fritz Gesztesy

Keyword(s):

Spectral Theory ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-96-01525-5 ◽

1996 ◽

Vol 348 (1) ◽

pp. 349-373 ◽

Cited By ~ 46

Author(s):

F. Gesztesy ◽

B. Simon

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Uniqueness Theorems ◽

One Dimensional ◽

Inverse Spectral Theory ◽

Inverse Spectral

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WITHDRAWN: A Paley–Wiener proven uniqueness theorem in the inverse spectral theory of higher order ordinary differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.10.060 ◽

2005 ◽

Author(s):

E. Andersson

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Uniqueness Theorem ◽

Spectral Theory ◽

Higher Order ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Quantum well shape tailoring via inverse spectral theory: optimizing resonant second-harmonic generation

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/10/29/012 ◽

1998 ◽

Vol 10 (29) ◽

pp. 6523-6532 ◽

Cited By ~ 6

Author(s):

Stanko Tomic ◽

Vitomir Milanovic ◽

Zoran Ikonic

Keyword(s):

Quantum Well ◽

Second Harmonic Generation ◽

Spectral Theory ◽

Harmonic Generation ◽

Second Harmonic ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Inverse Spectral Theory Based Optimization of Nonlinear Optical Rectification in Semiconductor Quantum Wells

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.61-62.219 ◽

1998 ◽

Vol 61-62 ◽

pp. 219-222

Author(s):

V. Milanović ◽

Z. Ikonić ◽

D. Tjapkin

Keyword(s):

Quantum Wells ◽

Spectral Theory ◽

Nonlinear Optical ◽

Optical Rectification ◽

Inverse Spectral Theory ◽

Semiconductor Quantum Wells ◽

Inverse Spectral ◽

Nonlinear Optical Rectification

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Inverse spectral theory using nodal points as data—A uniqueness result

Journal of Differential Equations ◽

10.1016/0022-0396(88)90111-8 ◽

1988 ◽

Vol 73 (2) ◽

pp. 354-362 ◽

Cited By ~ 123

Author(s):

Joyce R Mclaughlin

Keyword(s):

Spectral Theory ◽

Uniqueness Result ◽

Inverse Spectral Theory ◽

Nodal Points ◽

Inverse Spectral

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The boundary control approach to inverse spectral theory

Inverse Problems ◽

10.1088/0266-5611/26/4/045009 ◽

2010 ◽

Vol 26 (4) ◽

pp. 045009 ◽

Cited By ~ 16

Author(s):

Sergei Avdonin ◽

Victor Mikhaylov

Keyword(s):

Spectral Theory ◽

Boundary Control ◽

Control Approach ◽

Inverse Spectral Theory ◽

Inverse Spectral

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