An inverse spectral theory of Gel'fand-Levitan-type for higher order differential operators

W. W. Zachary

doi:10.1007/bf00418116

An inverse spectral theory of Gel'fand-Levitan-type for higher order differential operators

Letters in Mathematical Physics ◽

10.1007/bf00418116 ◽

1984 ◽

Vol 8 (5) ◽

pp. 403-411 ◽

Cited By ~ 1

Author(s):

W. W. Zachary

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Higher Order ◽

Inverse Spectral Theory ◽

Inverse Spectral

Download Full-text

WITHDRAWN: A Paley–Wiener proven uniqueness theorem in the inverse spectral theory of higher order ordinary differential equations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

Download Full-text

A UNIQUENESS THEOREM IN THE INVERSE SPECTRAL THEORY OF A CERTAIN HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATION USING PALEY–WIENER METHODS

Journal of the London Mathematical Society ◽

10.1112/s0024610704005770 ◽

2005 ◽

Vol 72 (01) ◽

pp. 169-184

Author(s):

E. ANDERSSON

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Uniqueness Theorem ◽

Spectral Theory ◽

Higher Order ◽

Order Ordinary Differential Equation ◽

Inverse Spectral Theory ◽

Inverse Spectral

Download Full-text

On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators

Trends in Mathematics - Transmutation Operators and Applications ◽

10.1007/978-3-030-35914-0_15 ◽

2020 ◽

pp. 337-367

Author(s):

Sergey Buterin

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Transformation Operator ◽

Operator Approach ◽

Inverse Spectral Theory ◽

Inverse Spectral

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text