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Uniqueness of a one-dimensional phase retrieval problem
被引:8
作者
:
Klibanov, Michael V.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Klibanov, Michael V.
[
1
]
Kamburg, Vladimir G.
论文数:
0
引用数:
0
h-index:
0
机构:
Penza State Univ Architecture & Bldg, Dept Informat & Comp Syst, Penza 440028, Russia
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Kamburg, Vladimir G.
[
2
]
机构
:
[1]
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
[2]
Penza State Univ Architecture & Bldg, Dept Informat & Comp Syst, Penza 440028, Russia
来源
:
INVERSE PROBLEMS
|
2014年
/ 30卷
/ 07期
关键词
:
phase problem;
uniqueness of phase retrieval;
complex zeros;
INVERSE SCATTERING;
RECONSTRUCTION;
ALGORITHMS;
MODULUS;
D O I
:
10.1088/0266-5611/30/7/075004
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
A uniqueness theorem is proven for the problem of the reconstruction of a compactly supported complex valued function from the modulus of its Fourier transform in the one-dimensional case.
引用
收藏
页数:10
相关论文
共 16 条
[11]
On the recovery of a 2-D function from the modulus of its Fourier transform
Klibanov, Michael V.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Klibanov, Michael V.
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2006,
323
(02)
: 818
-
843
[12]
PHASELESS INVERSE SCATTERING PROBLEMS IN THREE DIMENSIONS
Klibanov, Michael V.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Klibanov, Michael V.
[J].
SIAM JOURNAL ON APPLIED MATHEMATICS,
2014,
74
(02)
: 392
-
410
[13]
PHASELESS INVERSE SCATTERING AND THE PHASE PROBLEM IN OPTICS
KLIBANOV, MV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
KLIBANOV, MV
SACKS, PE
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
SACKS, PE
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1992,
33
(11)
: 3813
-
3821
[14]
THE PHASE RETRIEVAL PROBLEM
KLIBANOV, MV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
KLIBANOV, MV
SACKS, PE
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
SACKS, PE
TIKHONRAVOV, AV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
TIKHONRAVOV, AV
[J].
INVERSE PROBLEMS,
1995,
11
(01)
: 1
-
28
[15]
Klibanov MV., 1987, DIFF EQUAT, V22, P1232
[16]
Reconstruction of the impedance Schrodinger equation from the modulus of the reflection coefficients
Nazarchuk, Z. T.
论文数:
0
引用数:
0
h-index:
0
机构:
Karpenko Physicomech Inst, UA-79060 Lvov, Ukraine
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Nazarchuk, Z. T.
Hryniv, R. O.
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Univ Rzeszow, Inst Math, PL-35959 Rzeszow, Poland
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Hryniv, R. O.
Synyavskyy, A. T.
论文数:
0
引用数:
0
h-index:
0
机构:
Karpenko Physicomech Inst, UA-79060 Lvov, Ukraine
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Synyavskyy, A. T.
[J].
WAVE MOTION,
2012,
49
(08)
: 719
-
736
←
1
2
→
共 16 条
[11]
On the recovery of a 2-D function from the modulus of its Fourier transform
Klibanov, Michael V.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Klibanov, Michael V.
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2006,
323
(02)
: 818
-
843
[12]
PHASELESS INVERSE SCATTERING PROBLEMS IN THREE DIMENSIONS
Klibanov, Michael V.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
Klibanov, Michael V.
[J].
SIAM JOURNAL ON APPLIED MATHEMATICS,
2014,
74
(02)
: 392
-
410
[13]
PHASELESS INVERSE SCATTERING AND THE PHASE PROBLEM IN OPTICS
KLIBANOV, MV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
KLIBANOV, MV
SACKS, PE
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
SACKS, PE
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1992,
33
(11)
: 3813
-
3821
[14]
THE PHASE RETRIEVAL PROBLEM
KLIBANOV, MV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
KLIBANOV, MV
SACKS, PE
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
SACKS, PE
TIKHONRAVOV, AV
论文数:
0
引用数:
0
h-index:
0
机构:
IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011
TIKHONRAVOV, AV
[J].
INVERSE PROBLEMS,
1995,
11
(01)
: 1
-
28
[15]
Klibanov MV., 1987, DIFF EQUAT, V22, P1232
[16]
Reconstruction of the impedance Schrodinger equation from the modulus of the reflection coefficients
Nazarchuk, Z. T.
论文数:
0
引用数:
0
h-index:
0
机构:
Karpenko Physicomech Inst, UA-79060 Lvov, Ukraine
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Nazarchuk, Z. T.
Hryniv, R. O.
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Univ Rzeszow, Inst Math, PL-35959 Rzeszow, Poland
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Hryniv, R. O.
Synyavskyy, A. T.
论文数:
0
引用数:
0
h-index:
0
机构:
Karpenko Physicomech Inst, UA-79060 Lvov, Ukraine
Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
Synyavskyy, A. T.
[J].
WAVE MOTION,
2012,
49
(08)
: 719
-
736
←
1
2
→