-
1
-
-
0000694908
-
Matrix Stieltjes series and network models
-
S. BASU AND N. K. BOSE, Matrix Stieltjes series and network models, SIAM J. Matrix Anal. Appl., 14 (1983), pp. 209-222.
-
(1983)
SIAM J. Matrix Anal. Appl
, vol.14
, pp. 209-222
-
-
BASU, S.1
BOSE, N.K.2
-
2
-
-
67649144700
-
BEREZANS'KI&IK
-
Transl, Monogr. 17, American Mathematical Society, Providence, RI
-
JU. M. BEREZANS'KI&IK, Expansions in Eigenfunctions of Selfadjoint Operators, Transl. Math. Monogr. 17, American Mathematical Society, Providence, RI, 1968.
-
(1968)
Expansions in Eigenfunctions of Selfadjoint Operators
-
-
JU, M.1
-
3
-
-
39449110777
-
Matrix measures and random walks with a block tridiagonal transition matrix
-
H. DETTE, B. REUTHER, W. J. STUDDEN, AND M. ZYGMUNT, Matrix measures and random walks with a block tridiagonal transition matrix, SIAM J. Matrix Anal. Appl., 29 (2006), pp. 117-142.
-
(2006)
SIAM J. Matrix Anal. Appl
, vol.29
, pp. 117-142
-
-
DETTE, H.1
REUTHER, B.2
STUDDEN, W.J.3
ZYGMUNT, M.4
-
4
-
-
0003116004
-
On orthogonal polynomials with respect to positive definite matrix of measures
-
A. J. DURAN, On orthogonal polynomials with respect to positive definite matrix of measures, Canad. J. Math., 47 (1995), pp. 88-112.
-
(1995)
Canad. J. Math
, vol.47
, pp. 88-112
-
-
DURAN, A.J.1
-
5
-
-
0031488532
-
Matrix inner product having a matrix symmetric second order differential operator
-
A. J. DURAN, Matrix inner product having a matrix symmetric second order differential operator, Rocky Mountain J. Math., 27 (1997), pp. 585-600.
-
(1997)
Rocky Mountain J. Math
, vol.27
, pp. 585-600
-
-
DURAN, A.J.1
-
6
-
-
1342310078
-
Orthogonal matrix polynomials satisfying second order differential equations
-
A. J. DURAN and F. A. GRÜNBAUM, Orthogonal matrix polynomials satisfying second order differential equations, Int. Math. Res. Not., 10 (2004), pp. 461-484.
-
(2004)
Int. Math. Res. Not
, vol.10
, pp. 461-484
-
-
DURAN, A.J.1
GRÜNBAUM, F.A.2
-
7
-
-
0041728398
-
On second order differential operators
-
W. FELLER, On second order differential operators, Ann. of Math. (2), 61 (1955), pp. 90-105.
-
(1955)
Ann. of Math. (2)
, vol.61
, pp. 90-105
-
-
FELLER, W.1
-
8
-
-
84971110383
-
Random motion and analytic continued fractions
-
I. J. GOOD, Random motion and analytic continued fractions, Math. Proc. Cambridge Philos. Soc, 54 (1958), pp. 43-47.
-
(1958)
Math. Proc. Cambridge Philos. Soc
, vol.54
, pp. 43-47
-
-
GOOD, I.J.1
-
9
-
-
18144441832
-
Matrix valued Jacobi polynomials
-
F. A. GRÜNBAUM, Matrix valued Jacobi polynomials, Bull. Sci. Math., 127 (2003), pp. 207-214.
-
(2003)
Bull. Sci. Math
, vol.127
, pp. 207-214
-
-
GRÜNBAUM, F.A.1
-
10
-
-
59349114321
-
-
MSRI Publications, Cambridge University Press, Cambridge, UK, pp
-
F. A. GRÜNBAUM, Random walks and orthogonal polynomials: Some challenges, Probability, Geometry and Integrable Systems, Vol. 55, MSRI Publications, Cambridge University Press, Cambridge, UK, pp. 241-260.
-
Random walks and orthogonal polynomials: Some challenges, Probability, Geometry and Integrable Systems
, vol.55
, pp. 241-260
-
-
GRÜNBAUM, F.A.1
-
11
-
-
34548339666
-
-
F. A. GRÜNBAUM AND M. D. DE LA IGLESIA, Matrix valued orthogonal polynomials related to SU(N + 1), their algebras of differential operators and the corresponding curves. Experiment. Math., 16 (2007), pp. 189-207.
-
F. A. GRÜNBAUM AND M. D. DE LA IGLESIA, Matrix valued orthogonal polynomials related to SU(N + 1), their algebras of differential operators and the corresponding curves. Experiment. Math., 16 (2007), pp. 189-207.
-
-
-
-
12
-
-
0035824493
-
A matrix-valued solution to Bochner's problem
-
F. A. GRÜNBAUM, I. PACHARONI, and J. A. TIRAO, A matrix-valued solution to Bochner's problem, J. Phys. A: Math. Gen., 34 (2001), pp. 10647-10656.
-
(2001)
J. Phys. A: Math. Gen
, vol.34
, pp. 10647-10656
-
-
GRÜNBAUM, F.A.1
PACHARONI, I.2
TIRAO, J.A.3
-
13
-
-
0036472781
-
Matrix valued spherical functions associated to the complex projective plane
-
F. A. GRÜNBAUM, I. PACHARONI, and J. A. TIRAO, Matrix valued spherical functions associated to the complex projective plane, J. Funct. Anal., 188 (2002), pp. 350-441.
-
(2002)
J. Funct. Anal
, vol.188
, pp. 350-441
-
-
GRÜNBAUM, F.A.1
PACHARONI, I.2
TIRAO, J.A.3
-
14
-
-
1042303142
-
Matrix valued orthogonal polynomials of the Jacobi type
-
F. A. GRÜNBAUM, I. PACHARONI, and J. A. TIRAO, Matrix valued orthogonal polynomials of the Jacobi type, Indag. Math. (N.S.), 14 (2003), pp. 353-366.
-
(2003)
Indag. Math. (N.S.)
, vol.14
, pp. 353-366
-
-
GRÜNBAUM, F.A.1
PACHARONI, I.2
TIRAO, J.A.3
-
15
-
-
33847670316
-
Matrix valued orthogonal polynomials of Jacobi type: The role of group representation theory
-
F. A. GRÜNBAUM, I. PACHARONI, and J. A. TIRAO, Matrix valued orthogonal polynomials of Jacobi type: The role of group representation theory, Ann. Inst. Fourier (Grenoble), 55 (2005), pp. 2051-2068.
-
(2005)
Ann. Inst. Fourier (Grenoble)
, vol.55
, pp. 2051-2068
-
-
GRÜNBAUM, F.A.1
PACHARONI, I.2
TIRAO, J.A.3
-
16
-
-
14844349967
-
2 (C)
-
D. Healy and D. Rockmore, eds, Cambridge University Press, Cambridge, UK
-
2 (C), in Modern Signal Processing, D. Healy and D. Rockmore, eds., Cambridge University Press, Cambridge, UK, 2004, pp. 147-160.
-
(2004)
Modern Signal Processing
, pp. 147-160
-
-
GRÜNBAUM, F.A.1
PACHARONI, I.2
TIRAO, J.A.3
-
17
-
-
84968511170
-
First passages and recurrence distributions
-
T. B. HARRIS, First passages and recurrence distributions, Trans. Amer. Math. Soc, 73 (1952), pp. 471-486.
-
(1952)
Trans. Amer. Math. Soc
, vol.73
, pp. 471-486
-
-
HARRIS, T.B.1
-
18
-
-
0009275761
-
Birth and death processes and orthogonal polynomials
-
P. Nevai, ed, Kluwer Academic Publishers, Dordrecht, The Netherlands
-
M. E. H. ISMAIL, J. LETESSIER, D. MASSON, and G. VALENT, Birth and death processes and orthogonal polynomials, in Orthogonal Polynomials, P. Nevai, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990, pp. 229-255.
-
(1990)
Orthogonal Polynomials
, pp. 229-255
-
-
ISMAIL, M.E.H.1
LETESSIER, J.2
MASSON, D.3
VALENT, G.4
-
19
-
-
0001755583
-
Random walk and the theory of Brownian motion
-
M. KAC, Random walk and the theory of Brownian motion, Amer. Math. Monthly, 54 (1947), pp. 369-391.
-
(1947)
Amer. Math. Monthly
, vol.54
, pp. 369-391
-
-
KAC, M.1
-
21
-
-
0042773605
-
-
Amer. Math. Soc. Transl, 2, 97 , Providence, RI, pp
-
M. G. KREIN, Fundamental aspects of the representation theory of Hermitian operators with deficiency index (m,m), Amer. Math. Soc. Transl. Ser. 2, 97 (1971), Providence, RI, pp. 75-143.
-
(1971)
Fundamental aspects of the representation theory of Hermitian operators with deficiency index (m,m)
, pp. 75-143
-
-
KREIN, M.G.1
-
22
-
-
67649170212
-
-
M. G. KRE&IKN, Infinite J-matrices and a matrix moment problem, Dokl. Akad. Nauk SSSR, 69 (1949), pp. 125-128.
-
M. G. KRE&IKN, Infinite J-matrices and a matrix moment problem, Dokl. Akad. Nauk SSSR, 69 (1949), pp. 125-128.
-
-
-
-
23
-
-
0000911704
-
Invariant measures for quasi-birth-anddeath processes
-
G. LATOUCHE, C. E. M. PEARCE, and P. G. TAYLOR, Invariant measures for quasi-birth-anddeath processes, Comm. Statist. Stochastic Models, 14 (1998), pp. 443-460.
-
(1998)
Comm. Statist. Stochastic Models
, vol.14
, pp. 443-460
-
-
LATOUCHE, G.1
PEARCE, C.E.M.2
TAYLOR, P.G.3
-
24
-
-
0003653542
-
Introduction to Matrix Analytic Methods in Stochastic Modeling
-
SIAM, Philadelphia
-
G. LATOUCHE and V. RAMASWAMI, Introduction to Matrix Analytic Methods in Stochastic Modeling, ASA-SIAM Ser. Stat. Appl. Probab. 5, SIAM, Philadelphia, 1999.
-
(1999)
ASA-SIAM Ser. Stat. Appl. Probab
, vol.5
-
-
LATOUCHE, G.1
RAMASWAMI, V.2
-
25
-
-
0001475647
-
Spectral theory for the differential equations of simple birth and death processes
-
W. LEDERMANN and G. E. REUTER, Spectral theory for the differential equations of simple birth and death processes, Philos. Trans. Roy. Soc. London, Ser. A., 246 (1954), pp. 321-369.
-
(1954)
Philos. Trans. Roy. Soc. London, Ser. A
, vol.246
, pp. 321-369
-
-
LEDERMANN, W.1
REUTER, G.E.2
-
26
-
-
0000081447
-
Elementary solutions for certain parabolic partial differential equations
-
H. P. MCKEAN, JR., Elementary solutions for certain parabolic partial differential equations, Trans. Amer. Math. Soc., 82 (1956), pp. 519-548.
-
(1956)
Trans. Amer. Math. Soc
, vol.82
, pp. 519-548
-
-
MCKEAN JR., H.P.1
-
28
-
-
36949016443
-
A sequence of matrix valued orthogonal polynomials associated to spherical functions
-
I. PACHARONI and P. ROMAN, A sequence of matrix valued orthogonal polynomials associated to spherical functions, Constr. Approx., 28 (2007), pp. 127-147.
-
(2007)
Constr. Approx
, vol.28
, pp. 127-147
-
-
PACHARONI, I.1
ROMAN, P.2
-
29
-
-
3242655710
-
Three term recursion relation for spherical functions associated to the complex projective plane
-
I. PACHARONI and J. A. TIRAO, Three term recursion relation for spherical functions associated to the complex projective plane, Math. Phys. Anal. Geom., 7 (2004), pp. 193-221.
-
(2004)
Math. Phys. Anal. Geom
, vol.7
, pp. 193-221
-
-
PACHARONI, I.1
TIRAO, J.A.2
-
30
-
-
33847670079
-
Matrix valued orthogonal polynomials arising from the complex projective space
-
I. PACHARONI and J. A. TIRAO, Matrix valued orthogonal polynomials arising from the complex projective space, Constr. Approx., 25 (2007), pp. 177-192.
-
(2007)
Constr. Approx
, vol.25
, pp. 177-192
-
-
PACHARONI, I.1
TIRAO, J.A.2
-
31
-
-
38349091728
-
Three term recursion relation for spherical functions associated to the complex hyperbolic plane
-
I. PACHARONI and J. A. TIRAO, Three term recursion relation for spherical functions associated to the complex hyperbolic plane, J. Lie Theory, 17 (2007), pp. 791-828.
-
(2007)
J. Lie Theory
, vol.17
, pp. 791-828
-
-
PACHARONI, I.1
TIRAO, J.A.2
-
33
-
-
0004202673
-
-
American Mathematical Society Mathematical Surveys II, American Mathematical Society, Providence, RI
-
J. SHOHAT and J. TAMARKIN, The Problem of Moments, American Mathematical Society Mathematical Surveys II, American Mathematical Society, Providence, RI, 1943.
-
(1943)
The Problem of Moments
-
-
SHOHAT, J.1
TAMARKIN, J.2
-
34
-
-
84869336445
-
-
Rev. de la Unión Matem. Argentina, 28 1977, pp
-
J. A. TIRAO, Spherical functions, Rev. de la Unión Matem. Argentina, 28 (1977), pp. 75-98.
-
Spherical functions
, pp. 75-98
-
-
TIRAO, J.A.1
-
35
-
-
0038154075
-
The matrix valued hypergeometric equation
-
J. A. TIRAO, The matrix valued hypergeometric equation, Proc. Nat. Acad. Sci. USA, 100 (2003), pp. 8138-8141.
-
(2003)
Proc. Nat. Acad. Sci. USA
, vol.100
, pp. 8138-8141
-
-
TIRAO, J.A.1
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