-
2
-
-
84972553791
-
A moment problem for positive measures on the unit disc
-
A. ATZMON, A moment problem for positive measures on the unit disc, Pacific J. Math. 59(1975), 317-325.
-
(1975)
Pacific J. Math.
, vol.59
, pp. 317-325
-
-
Atzmon, A.1
-
3
-
-
0000203558
-
A remark on the multidimensional moment problem
-
C. BERG, J. CHRISTENSEN, C. JENSEN, A remark on the multidimensional moment problem, Math. Ann. 243(1979), 163-169.
-
(1979)
Math. Ann.
, vol.243
, pp. 163-169
-
-
Berg, C.1
Christensen, J.2
Jensen, C.3
-
4
-
-
0000396067
-
Polynomially positive definite sequences
-
C. BERG, P. MASERICK, Polynomially positive definite sequences, Math. Ann. 259 (1982), 487-495.
-
(1982)
Math. Ann.
, vol.259
, pp. 487-495
-
-
Berg, C.1
Maserick, P.2
-
5
-
-
0000893882
-
n et décompositions de polynômes a plusieurs variables
-
n et décompositions de polynômes a plusieurs variables, J. Funct. Anal. 58(1984), 254-266.
-
(1984)
J. Funct. Anal.
, vol.58
, pp. 254-266
-
-
Cassier, G.1
-
6
-
-
0029684826
-
Solution of the truncated complex moment problem for flat data
-
R.E. CURTO, L. A. FIALKOW, Solution of the truncated complex moment problem for flat data, Mem. Amer. Math. Soc. 119(1996), no. 568.
-
(1996)
Mem. Amer. Math. Soc.
, vol.119
, Issue.568
-
-
Curto, R.E.1
Fialkow, L.A.2
-
7
-
-
0001881572
-
Flat extensions of positive moment matrices: Relations in analytic or conjugate terms
-
Birkhäuser Verlag, Basel
-
R. CURTO, L. FIALKOW, Flat extensions of positive moment matrices: Relations in analytic or conjugate terms, Oper. Theory Adv. Appl., vol. 104, Birkhäuser Verlag, Basel 1998, pp. 59-82.
-
(1998)
Oper. Theory Adv. Appl.
, vol.104
, pp. 59-82
-
-
Curto, R.1
Fialkow, L.2
-
8
-
-
21944445317
-
Flat extensions of positive moment matrices: Recursively generated relations
-
R. CURTO, L. FIALKOW, Flat extensions of positive moment matrices: Recursively generated relations, Mem. Amer. Math. Soc. 136(1998), no. 648.
-
(1998)
Mem. Amer. Math. Soc.
, vol.136
, Issue.648
-
-
Curto, R.1
Fialkow, L.2
-
9
-
-
0000728349
-
The quadratic moment problem for the unit disk and unit circle
-
R. CURTO, L. FIALKOW, The quadratic moment problem for the unit disk and unit circle, Integral Equations Operator Theory 38(2000), 377-409.
-
(2000)
Integral Equations Operator Theory
, vol.38
, pp. 377-409
-
-
Curto, R.1
Fialkow, L.2
-
10
-
-
23044517911
-
The truncated complex K-moment problem
-
R. CURTO, L. FIALKOW, The truncated complex K-moment problem, Trans. Amer. Math. Soc. 352(2000), 2825-2855.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 2825-2855
-
-
Curto, R.1
Fialkow, L.2
-
11
-
-
0037095604
-
A duality proof of Tchakaloff's theorem
-
R. CURTO, L. FIALKOW, A duality proof of Tchakaloff's theorem, J. Math. Anal. Appl. 269(2002), 519-532.
-
(2002)
J. Math. Anal. Appl.
, vol.269
, pp. 519-532
-
-
Curto, R.1
Fialkow, L.2
-
12
-
-
0036763607
-
Solution of the singular quartic moment problem
-
R. CURTO, L. FIALKOW, Solution of the singular quartic moment problem, J. Operator Theory 48(2002), 315-354.
-
(2002)
J. Operator Theory
, vol.48
, pp. 315-354
-
-
Curto, R.1
Fialkow, L.2
-
14
-
-
21644478264
-
Solution of the truncated hyperbolic moment problem
-
R. CURTO, L. FIALKOW, Solution of the truncated hyperbolic moment problem, Integral Equations Operator Theory 52(2005), 181-218.
-
(2005)
Integral Equations Operator Theory
, vol.52
, pp. 181-218
-
-
Curto, R.1
Fialkow, L.2
-
15
-
-
0034660836
-
Moments and positivity
-
O. DEMANZE, Moments and positivity, J. Math. Anal. Appl. 247(2000), 570-587.
-
(2000)
J. Math. Anal. Appl.
, vol.247
, pp. 570-587
-
-
Demanze, O.1
-
17
-
-
0000362253
-
Positivity, extensions and the truncated complex moment problem
-
L. FIALKOW, Positivity, extensions and the truncated complex moment problem, Contemp. Math. 185(1995), 133-150.
-
(1995)
Contemp. Math.
, vol.185
, pp. 133-150
-
-
Fialkow, L.1
-
18
-
-
0001297038
-
Minimal representing measures arising from rank-increasing moment matrix extensions
-
L. FIALKOW, Minimal representing measures arising from rank-increasing moment matrix extensions, J. Operator Theory 42(1999), 425-436.
-
(1999)
J. Operator Theory
, vol.42
, pp. 425-436
-
-
Fialkow, L.1
-
19
-
-
0037275929
-
Truncated complex moment problems with a ZZ̄ relation
-
L. FIALKOW, Truncated complex moment problems with a ZZ̄ relation, Integral Equations Operator Theory 45(2003), 405-435.
-
(2003)
Integral Equations Operator Theory
, vol.45
, pp. 405-435
-
-
Fialkow, L.1
-
21
-
-
0001923625
-
The multidimensional moment problem
-
B. FUGLEDE, The multidimensional moment problem, Exposition. Math. 1(1983), 47-65.
-
(1983)
Exposition. Math.
, vol.1
, pp. 47-65
-
-
Fuglede, B.1
-
22
-
-
0001656889
-
On the momentum problem for distributions in more than one dimension. I
-
E.K. HAVILAND, On the momentum problem for distributions in more than one dimension. I, Amer. J. Math. 57(1935), 562-568;
-
(1935)
Amer. J. Math.
, vol.57
, pp. 562-568
-
-
Haviland, E.K.1
-
23
-
-
0000336262
-
On the momentum problem for distributions in more than one dimension. II
-
On the momentum problem for distributions in more than one dimension. II, Amer. J. Math. 58(1936), 164-168.
-
(1936)
Amer. J. Math.
, vol.58
, pp. 164-168
-
-
-
24
-
-
27844562496
-
-
Transl. Math. Monographs, Amer. Math. Soc., Providence, R.I.
-
M.G. KREIN, A.A. NUDEL'MAN, The Markov Moment Problem and Extremal Problems, Transl. Math. Monographs, vol. 50, Amer. Math. Soc., Providence, R.I. 1977.
-
(1977)
The Markov Moment Problem and Extremal Problems
, vol.50
-
-
Krein, M.G.1
Nudel'man, A.A.2
-
25
-
-
0036830643
-
Positivity, sums of squares and the multidimensional moment problem
-
S. KUHLMANN, M. MARSHALL, Positivity, sums of squares and the multidimensional moment problem, Trans. Amer. Math. Soc. 354(2002), 4285-4301.
-
(2002)
Trans. Amer. Math. Soc.
, vol.354
, pp. 4285-4301
-
-
Kuhlmann, S.1
Marshall, M.2
-
26
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
J.B. LASSERRE, Global optimization with polynomials and the problem of moments, SIAM J. Optim. 11(2001), 796-817.
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 796-817
-
-
Lasserre, J.B.1
-
27
-
-
0036387295
-
Bounds on measures satisfying moment conditions
-
J.B. LASSERRE, Bounds on measures satisfying moment conditions, Ann. Appl. Probab. 12(2002), 1114-1137.
-
(2002)
Ann. Appl. Probab.
, vol.12
, pp. 1114-1137
-
-
Lasserre, J.B.1
-
28
-
-
0036034519
-
Polynomials nonnegative on a grid and discrete optimization
-
J.B. LASSERRE, Polynomials nonnegative on a grid and discrete optimization, Trans. Amer. Math. Soc. 354(2002), 631-649.
-
(2002)
Trans. Amer. Math. Soc.
, vol.354
, pp. 631-649
-
-
Lasserre, J.B.1
-
29
-
-
18744395436
-
Semidefinite representations for finite varieties
-
M. LAURENT, Semidefinite representations for finite varieties, Math. Programming, to appear.
-
Math. Programming
-
-
Laurent, M.1
-
30
-
-
0141517272
-
A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming
-
M. LAURENT, A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming, Math. Oper. Res. 28(2003), 470-496.
-
(2003)
Math. Oper. Res.
, vol.28
, pp. 470-496
-
-
Laurent, M.1
-
31
-
-
26444549416
-
Revisiting two theorems of Curto and Fialkow on moment matrices
-
M. LAURENT, Revisiting two theorems of Curto and Fialkow on moment matrices, Proc. Amer. Math. Soc. 133(2005), 2965-2976.
-
(2005)
Proc. Amer. Math. Soc.
, vol.133
, pp. 2965-2976
-
-
Laurent, M.1
-
32
-
-
23044523312
-
Polynomials that are positive on an interval
-
V. POWERS, B. REZNICK, Polynomials that are positive on an interval, Trans. Amer. Math. Soc. 352(2000), 4677-4692.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 4677-4692
-
-
Powers, V.1
Reznick, B.2
-
33
-
-
0001276275
-
A new bound for Pólya's theorem with applications to polynomials positive on polyhedra
-
V. POWERS, B. REZNICK, A new bound for Pólya's theorem with applications to polynomials positive on polyhedra, J. Pure Appl. Algebra 164(2001), 221-229.
-
(2001)
J. Pure Appl. Algebra
, vol.164
, pp. 221-229
-
-
Powers, V.1
Reznick, B.2
-
34
-
-
0005232063
-
The moment problem for non-compact semialgebraic sets
-
V. POWERS, C. SCHEIDERER, The moment problem for non-compact semialgebraic sets, Adv. Geom. 1(2001), 71-88.
-
(2001)
Adv. Geom.
, vol.1
, pp. 71-88
-
-
Powers, V.1
Scheiderer, C.2
-
35
-
-
27844478040
-
Bounds for representations of polynomials positive on compact semi-algebraic sets
-
Fields Inst. Commun., Amer. Math. Soc., Providence, RI
-
A. PRESTEL, Bounds for representations of polynomials positive on compact semi-algebraic sets, in Valuation Theory and its Applications, vol. I (Saskatoon, SK, 1999), Fields Inst. Commun., vol. 32, Amer. Math. Soc., Providence, RI 2002, pp. 253-260.
-
(2002)
Valuation Theory and Its Applications, Vol. I (Saskatoon, SK, 1999)
, vol.1-32
, pp. 253-260
-
-
Prestel, A.1
-
36
-
-
38249026822
-
A two-dimensional moment problem
-
M. PUTINAR, A two-dimensional moment problem, J. Funct. Anal. 80(1988), 1-8.
-
(1988)
J. Funct. Anal.
, vol.80
, pp. 1-8
-
-
Putinar, M.1
-
37
-
-
0000135301
-
Positive polynomials on compact semi-algebraic sets
-
M. PUTINAR, Positive polynomials on compact semi-algebraic sets, Indiana Univ. Math. J. 42(1993), 969-984.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 969-984
-
-
Putinar, M.1
-
38
-
-
21744461770
-
On Tchakaloff's Theorem
-
M. PUTINAR, On Tchakaloff's Theorem, Proc. Amer. Math. Soc. 125(1997), 2409-2414.
-
(1997)
Proc. Amer. Math. Soc.
, vol.125
, pp. 2409-2414
-
-
Putinar, M.1
-
39
-
-
0033416838
-
Solving moment problems by dimensional extension
-
M. PUTINAR, F.-H. VASILESCU, Solving moment problems by dimensional extension, Ann. of Math. 149(1999), 1087-1107.
-
(1999)
Ann. of Math.
, vol.149
, pp. 1087-1107
-
-
Putinar, M.1
Vasilescu, F.-H.2
-
40
-
-
0001667254
-
Sums of even powers of real linear forms
-
B. REZNICK, Sums of even powers of real linear forms, Mem. Amer. Math. Soc. 96(1992), no. 463.
-
(1992)
Mem. Amer. Math. Soc.
, vol.96
, Issue.463
-
-
Reznick, B.1
-
41
-
-
0011456635
-
Sur le problème des moments, Troisième Note
-
M. RIESZ, Sur le problème des moments, Troisième Note, Arkiv för Matematik, Astronomi och Fysik 17(1923), 1-52.
-
(1923)
Arkiv för Matematik, Astronomi Och Fysik
, vol.17
, pp. 1-52
-
-
Riesz, M.1
-
42
-
-
33646876901
-
Sums of squares of regular functions on real algebraic varieties
-
C. SCHEIDERER, Sums of squares of regular functions on real algebraic varieties, Trans. Amer. Math. Soc. 352(2000), 1039-1069.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 1039-1069
-
-
Scheiderer, C.1
-
43
-
-
0001250675
-
The K-moment problem for compact semi-algebraic sets
-
K. SCHMÜDGEN, The K-moment problem for compact semi-algebraic sets, Math. Ann. 289(1991), 203-206.
-
(1991)
Math. Ann.
, vol.289
, pp. 203-206
-
-
Schmüdgen, K.1
-
45
-
-
0000030826
-
An operator Hellinger integral
-
J.L. SMUL'JAN, An operator Hellinger integral, [Russian], Mat. Sb. (N.S.) 49(1959), 381-430.
-
(1959)
Mat. Sb. (N.S.)
, vol.49
, pp. 381-430
-
-
Smul'jan, J.L.1
-
46
-
-
0001399197
-
Moment functions on real algebraic sets
-
J. STOCHEL, Moment functions on real algebraic sets, Ark. Mat. 30(1992), 133-148.
-
(1992)
Ark. Mat.
, vol.30
, pp. 133-148
-
-
Stochel, J.1
-
47
-
-
0035568273
-
Solving the truncated moment problem solves the moment problem
-
J. STOCHEL, Solving the truncated moment problem solves the moment problem, Glasgow J. Math. 43(2001), 335-341.
-
(2001)
Glasgow J. Math.
, vol.43
, pp. 335-341
-
-
Stochel, J.1
-
48
-
-
0001998633
-
Algebraic operators and moments on algebraic sets
-
J. STOCHEL, F.H. SZAFRANIEC, Algebraic operators and moments on algebraic sets, Portugal. Math. 51(1994), 25-15.
-
(1994)
Portugal. Math.
, vol.51
, pp. 25-115
-
-
Stochel, J.1
Szafraniec, F.H.2
-
49
-
-
0000055633
-
The complex moment problem and subnormality: A polar decomposition approach
-
J. STOCHEL, F.H. SZAFRANIEC, The complex moment problem and subnormality: A polar decomposition approach, J. Funct. Anal. 159(1998), 432-491.
-
(1998)
J. Funct. Anal.
, vol.159
, pp. 432-491
-
-
Stochel, J.1
Szafraniec, F.H.2
-
51
-
-
0000300752
-
Boundedness of the shift operator related to positive definite forms: An application to moment problems
-
F.H. SZAFRANIEC, Boundedness of the shift operator related to positive definite forms: an application to moment problems, Ark. Mat. 19(1981), 251-259.
-
(1981)
Ark. Mat.
, vol.19
, pp. 251-259
-
-
Szafraniec, F.H.1
-
52
-
-
0002554368
-
Moments on compact sets
-
North-Holland, Amsterdam
-
F.H. SZAFRANIEC, Moments on compact sets, in Prediction Theory and Harmonic Analysis, The Pesi Masani Volume, North-Holland, Amsterdam 1983, pp. 379-385.
-
Prediction Theory and Harmonic Analysis, the Pesi Masani Volume
, vol.1983
, pp. 379-385
-
-
Szafraniec, F.H.1
-
53
-
-
0001630435
-
Formules de cubatures mécaniques à coefficients non négatifs
-
V. TCHAKALOFF, Formules de cubatures mécaniques à coefficients non négatifs, Bull. Sci. Math. 81(1957), 123-134.
-
(1957)
Bull. Sci. Math.
, vol.81
, pp. 123-134
-
-
Tchakaloff, V.1
-
54
-
-
0003503814
-
-
Wolfram Research, Inc., Champaign, IL
-
WOLFRAM RESEARCH, INC., Mathematica, Version 3.0, Wolfram Research, Inc., Champaign, IL 1996.
-
(1996)
Mathematica, Version 3.0
-
-
|