-
1
-
-
84980085922
-
Some hints on Huygens' principle and Hadamard's conjecture
-
MR 18:487d
-
L. Asgeirsson, Some hints on Huygens' principle and Hadamard's conjecture, Comm. Pure Appl. Math., 9 (1956), 307-326. MR 18:487d
-
(1956)
Comm. Pure Appl. Math.
, vol.9
, pp. 307-326
-
-
Asgeirsson, L.1
-
2
-
-
0000311887
-
Lacunas for hyperbolic differential operators with constant coefficients I
-
MR 5T:10252a
-
M.F. Atiyah, R. Bott, and L. Carding, Lacunas for hyperbolic differential operators with constant coefficients I, Acta Math., 124 (1970), 109-189. MR 5T:10252a
-
(1970)
Acta Math.
, vol.124
, pp. 109-189
-
-
Atiyah, M.F.1
Bott, R.2
Carding, L.3
-
3
-
-
0001565106
-
Lacunas for hyperbolic differential operators with constant coefficients II
-
MR 57:10252b
-
M.F. Atiyah, R. Bott, and L. Carding, Lacunas for hyperbolic differential operators with constant coefficients II, Acta Math., 131 (1973), 145-206. MR 57:10252b
-
(1973)
Acta Math.
, vol.131
, pp. 145-206
-
-
Atiyah, M.F.1
Bott, R.2
Carding, L.3
-
4
-
-
0039937348
-
Lacunae of hyperbolic Riesz kernels and commutative rings of partial differential operators
-
MR 98k:58103
-
Yu.Yu. Bercst, Lacunae of hyperbolic Riesz kernels and commutative rings of partial differential operators, Lett. Math. Phys. 41 (1997), 227-235. MR 98k:58103
-
(1997)
Lett. Math. Phys.
, vol.41
, pp. 227-235
-
-
Bercst, Y.Y.1
-
5
-
-
0031498011
-
Solution of a restricted Hadamard problem on Minkowski spaces
-
MR 99c:35135
-
Yu.Yu. Bcrest, Solution of a restricted Hadamard problem on Minkowski spaces, Comm. Pure Appl. Math., 50 (1997), 1019-1052. MR 99c:35135
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, pp. 1019-1052
-
-
Bcrest, Y.Y.1
-
6
-
-
33646895007
-
-
(J.-F. van Diejeii and L. Vinet, Eds.), CRM Series in Mathematical Physics, Springer-Verlag (1998), to appear.
-
Yu.Yu. Berest, The theory of lacunas and quantum integrable systems, in Proceedings of the Workshop The Calogero-Moser-Sutherland Model (J.-F. van Diejeii and L. Vinet, Eds.), CRM Series in Mathematical Physics, Springer-Verlag (1998), to appear.
-
The Theory of Lacunas and Quantum Integrable Systems, in Proceedings of the Workshop the Calogero-Moser-Sutherland Model
-
-
Berest, Y.Y.1
-
7
-
-
21844496103
-
Fundamental solutions for partial differential operators with reflection group invariance
-
MR 96c:35005
-
Yu.Yu. Berest, and Yu.A. Molchanov, Fundamental solutions for partial differential operators with reflection group invariance, J. Math. Phys. 36(8) (1995), 4324-4339. MR 96c:35005
-
(1995)
J. Math. Phys.
, vol.36
, Issue.8
, pp. 4324-4339
-
-
Berest, Y.Y.1
Molchanov, Y.A.2
-
8
-
-
84956224104
-
Huygens' principle and Coxeter groups
-
MR 94i:35110
-
Yu.Yu. Bercst, and A.P. Veselov, Huygens' principle and Coxeter groups, Russian Math. Surveys, 48(2) (1993), 183-184. MR 94i:35110
-
(1993)
Russian Math. Surveys
, vol.48
, Issue.2
, pp. 183-184
-
-
Bercst, Y.Y.1
Veselov, A.P.2
-
9
-
-
0009109633
-
Hadamard's problem and Coxeter groups: New examples of Huygens' equations
-
MR 95h:58131
-
Yu.Yu. Berest, and A.P. Veselov, Hadamard's problem and Coxeter groups: new examples of Huygens' equations, Funct. Anal. Appl., 28 (1994), 3-12. MR 95h:58131
-
(1994)
Funct. Anal. Appl.
, vol.28
, pp. 3-12
-
-
Berest, Y.Y.1
Veselov, A.P.2
-
10
-
-
84957337849
-
Huygens' principle and integrability
-
MR 96a:35003
-
Yu.Yu. Berest, and A.P. Veselov, Huygens' principle and integrability, Russian Math. Surveys, 49(6) (1994), 5-77. MR 96a:35003
-
(1994)
Russian Math. Surveys
, vol.49
, Issue.6
, pp. 5-77
-
-
Berest, Y.Y.1
Veselov, A.P.2
-
11
-
-
33646879463
-
Some sufficient conditions for the absence of lacunas
-
(Russian) MR 25:5284
-
V.A. Borovikov, Some sufficient conditions for the absence of lacunas, Mat. Sbornik, 55 (3) (1961), 237-254. (Russian) MR 25:5284
-
(1961)
Mat. Sbornik
, vol.55
, Issue.3
, pp. 237-254
-
-
Borovikov, V.A.1
-
12
-
-
84908253040
-
Lacunas and transmissions in Seminar on Singularities of Solutions of Linear Partial Differential Equations
-
Princeton Univ. Press, Princeton, MR 80k:58092
-
L. Boutct de Monvcl, Lacunas and transmissions in Seminar on Singularities of Solutions of Linear Partial Differential Equations, Ann. of Math. Stud. 91, Princeton Univ. Press, Princeton, 1978, pp. 209-218. MR 80k:58092
-
(1978)
Ann. of Math. Stud.
, vol.91
, pp. 209-218
-
-
De Boutct Monvcl, L.1
-
14
-
-
0001089976
-
-
MR 91g:58106
-
O.A. Chalykh, and A.P. Veselov, Commutative rings of partial differential operators and Lie algebras, Comm. Math. Phys., 126 (1990), 597-611. MR 91g:58106
-
(1990)
Commutative Rings of Partial Differential Operators and Lie Algebras, Comm. Math. Phys.
, vol.126
, pp. 597-611
-
-
Chalykh, O.A.1
Veselov, A.P.2
-
15
-
-
21144464321
-
-
MR 94a:58160
-
O.A. Chalykh, and A.P. Veselov, Integrability in the theory of the Schrödinger operator and harmonic analysis, Comm. Math. Phys., 152 (1993), 29-40. MR 94a:58160
-
(1993)
Integrability in the Theory of the Schrödinger Operator and Harmonic Analysis, Comm. Math. Phys.
, vol.152
, pp. 29-40
-
-
Chalykh, O.A.1
Veselov, A.P.2
-
16
-
-
33646872510
-
Hypergeometric partial differential equations
-
T.W. Chaundy, Hypergeometric partial differential equations, Quart. J. Math., Oxford Ser. 6 (1935), 288-303;
-
(1935)
Quart. J. Math., Oxford Ser.
, vol.6
, pp. 288-303
-
-
Chaundy, T.W.1
-
23
-
-
84948867463
-
Singularities, supports and lacunas, in Advances in Microlocal Analysis
-
Reidel, Dordrecht-Boston, MR 87j:35003
-
G.F.D. Duff, Singularities, supports and lacunas, in Advances in Microlocal Analysis, NATO Adv. Sei. Inst. Ser. C: JNlath. Phys. Sei., 168, Reidel, Dordrecht-Boston, 1986, pp. 73-133. MR 87j:35003
-
(1986)
NATO Adv. Sei. Inst. Ser. C: JNlath. Phys. Sei.
, vol.168
, pp. 73-133
-
-
Duff, G.F.D.1
-
24
-
-
0001359817
-
-
MR 52:9300
-
J.J. Duistermaat, and L. Hörmander, Fourier integral operators II, Acta Math., 128 (1972), 183-269. MR 52:9300
-
(1972)
Fourier Integral Operators II, Acta Math.
, vol.128
, pp. 183-269
-
-
Duistermaat, J.J.1
Hörmander, L.2
-
28
-
-
33646888710
-
-
Nauka, Moscow, 1986, pp. 449-156. MR 88f:01059
-
A.M. Gabrielov, and A.P. Palamodov, Huygens' principle and its generalizations in I.G.Petrovsky "Selected Works", Nauka, Moscow, 1986, pp. 449-156. MR 88f:01059;
-
Huygens' Principle and Its Generalizations in I.G.Petrovsky "Selected Works"
-
-
Gabrielov, A.M.1
Palamodov, A.P.2
-
29
-
-
0011686240
-
"Selected Works", Part I
-
Gordon and Breach Publ., Amsterdam
-
English transi, in: I. G. Petrovsky, "Selected Works", Part I, Classics of Soviet Mathematics 5, Gordon and Breach Publ., Amsterdam, 1996, pp. 485-495.
-
(1996)
Classics of Soviet Mathematics
, vol.5
, pp. 485-495
-
-
Petrovsky, I.G.1
-
30
-
-
33646867930
-
The Cauchy problem for differential operators decomposing into wave factors
-
MR 37:585
-
S.A. Gal'pern, and V.E. Kondrashov, The Cauchy problem for differential operators decomposing into wave factors, Trans. Moscow Math. Soc., 16 (1967), 117-145. MR 37:585
-
(1967)
Trans. Moscow Math. Soc.
, vol.16
, pp. 117-145
-
-
Gal'Pern, S.A.1
Kondrashov, V.E.2
-
31
-
-
0001541026
-
The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals
-
MR 9:240a
-
L. Carding, The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals, Ann. Math., 48 (1947), 785-826. MR 9:240a
-
(1947)
Ann. Math.
, vol.48
, pp. 785-826
-
-
Carding, L.1
-
32
-
-
34250597684
-
Linear hyperbolic partial differential equations with constant coefficients
-
MR 12:831g
-
L. Carding, Linear hyperbolic partial differential equations with constant coefficients, Acta Math., 85 (1950), 1-62. MR 12:831g
-
(1950)
Acta Math.
, vol.85
, pp. 1-62
-
-
Carding, L.1
-
33
-
-
85024424014
-
-
MR 57:10253a
-
L. Carding, Sharp fronts of paired oscillatory integrals, Publ. RIMS, Kyoto Univer., 12 (1977), 53-68 (Corrections: ibid. MR 57:10253a.
-
(1977)
Sharp Fronts of Paired Oscillatory Integrals, Publ. RIMS, Kyoto Univer.
, vol.12
, pp. 53-68
-
-
Carding, L.1
-
34
-
-
0003582452
-
-
Springer-Verlag, Berlin, MR 88k:35002
-
L. Gärding, Singularities in Linear Wave Propagation, Lecture Notes in Math, 1241, Springer-Verlag, Berlin, 1987. MR 88k:35002
-
(1987)
Singularities in Linear Wave Propagation, Lecture Notes in Math
, vol.1241
-
-
Gärding, L.1
-
35
-
-
33646884683
-
-
MR
-
I.M. Gel'fand, and G.E. Shilov, Generalized Functions I, Academic Press, New York, 1964. MR 29:3869
-
(1964)
Generalized Functions I, Academic Press, New York
, vol.29
, pp. 3869
-
-
Gel'Fand, I.M.1
Shilov, G.E.2
-
37
-
-
0039722396
-
Tube Domains and the Cauchy Problem
-
Amer. Math. Soc., Providence, RI, MR 94d:35028
-
S.G. Gindikin, Tube Domains and the Cauchy Problem, 111, Amer. Math. Soc., Providence, RI, 1992. MR 94d:35028
-
(1992)
3ETransi. Math. Monographs
, vol.111
-
-
Gindikin, S.G.1
-
39
-
-
0003518805
-
-
Yale Univ. Press, New Haven, 1923 reprinted by Dover, N. Y., MR 14:474f
-
J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale Univ. Press, New Haven, 1923 (reprinted by Dover, N. Y., 1956). MR 14:474f
-
(1956)
Lectures on Cauchy's Problem in Linear Partial Differential Equations
-
-
Hadamard, J.1
-
41
-
-
0000648317
-
-
MR 94c:20075
-
G.J. Heckman, A remark on the Dunkl differential-difference operators, Progr. in Math., 101 Birkhäuser, Boston, 1991, pp. 181-191. MR 94c:20075
-
(1991)
A Remark on the Dunkl Differential-difference Operators, Progr. in Math.
, vol.101
, pp. 181-191
-
-
Heckman, G.J.1
-
45
-
-
0003668851
-
-
I-IV, Springer-Verlag, Berlin, MR 85g:35002a, MR 85g:35002b; MR 87d:35002a; MR 87d:35002b
-
L. Hörmander, The Analysis of Linear Partial Differential Operators, I-IV, Springer-Verlag, Berlin, 1983-85. MR 85g:35002a, MR 85g:35002b; MR 87d:35002a; MR 87d:35002b
-
(1983)
The Analysis of Linear Partial Differential Operators
-
-
Hörmander, L.1
-
53
-
-
0007456353
-
Quantum integrable systems related to Lie algebras
-
MR 84k:81007
-
M.A. Olshanetsky, arid "A.M. Perelomov, Quantum integrable systems related to Lie algebras, Phys. Reps., 94 (1983), 313-404. MR 84k:81007
-
(1983)
Phys. Reps.
, vol.94
, pp. 313-404
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
54
-
-
0003166185
-
-
MR 90k:17012; MR 90c:58079
-
E. Opdam Root systems and hypergeometric functions HI, IV, Compositio Math., 67 (1988), 21-49, 191-209. MR 90k:17012; MR 90c:58079
-
(1988)
Root Systems and Hypergeometric Functions HI, IV, Compositio Math.
, vol.67
, pp. 21-49
-
-
Opdam, E.1
-
55
-
-
0000775503
-
-
MR 95j:33044
-
E. Opdam, Dunkl operators, Bessel functions, and the discriminant of a finite Coxeter group, Compositio Math., 85 (1993), 333-373. MR 95j:33044
-
(1993)
Dunkl Operators, Bessel Functions, and the Discriminant of a Finite Coxeter Group, Compositio Math.
, vol.85
, pp. 333-373
-
-
Opdam, E.1
-
58
-
-
0039345156
-
-
MR 15:710e
-
K.L. Stellmacher, Ein Beispiel einer Huyghensschen Differentialgleichung, Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl, Ha, 10 (1953), 133-138. MR 15:710e
-
(1953)
Ein Beispiel Einer Huyghensschen Differentialgleichung, Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl, Ha
, vol.10
, pp. 133-138
-
-
Stellmacher, K.L.1
-
61
-
-
0040699330
-
A strengthened Huygens' principle for a class of differential operators with constant coefficients
-
MR 37:3176
-
B.R. Vainberg, S.G. Gindikin, A strengthened Huygens' principle for a class of differential operators with constant coefficients, Trans. Moscow Math. Soc., 16 (1967), 163-196. MR 37:3176
-
(1967)
Trans. Moscow Math. Soc.
, vol.16
, pp. 163-196
-
-
Vainberg, B.R.1
Gindikin, S.G.2
-
62
-
-
33646884682
-
Sharpness and local Petrovsky condition for strictly hyperbolic operators with constant coefficients
-
V.A. Vassiliev, Sharpness and local Petrovsky condition for strictly hyperbolic operators with constant coefficients, Izv. Akad. Nauk SSSR Ser. Mat. 50(2) (1986), 243-284;
-
(1986)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.50
, Issue.2
, pp. 243-284
-
-
Vassiliev, V.A.1
-
63
-
-
0012230942
-
-
MR 88a:58193
-
English transi, Math. USSR Izv. 28 (1987), 233-273. MR 88a:58193
-
(1987)
Math. USSR Izv.
, vol.28
, pp. 233-273
-
-
-
64
-
-
0007464689
-
Ramified Integrals, Singularities and Lacunas
-
Kluwcr Acad. Publ., MR 96h:32052
-
V.A. Vassiliev, Ramified Integrals, Singularities and Lacunas, Mathematics and its Appl., 315, Kluwcr Acad. Publ., 1995. MR 96h:32052
-
(1995)
Mathematics and Its Appl.
, vol.315
-
-
Vassiliev, V.A.1
-
65
-
-
34250082118
-
-
MR 94j:35151
-
A.P. Veselov, K.L. Styrkas, and O.A. Chalykh, Algebraic integrability for the Schrödinger operator and reflection groups, Theor. Math. Phys. 94 (1993), 182-197. MR 94j:35151
-
(1993)
Algebraic Integrability for the Schrödinger Operator and Reflection Groups, Theor. Math. Phys.
, vol.94
, pp. 182-197
-
-
Veselov, A.P.1
Styrkas, K.L.2
Chalykh, O.A.3
-
66
-
-
0000868410
-
-
A.P. Veselov, M.V. Feigin, and O.A. Chalykh, New integrable generalizations of quantum Calogero-Moser problem, Usp. Mat. Nauk, 51(3) (1996), 185-186;
-
(1996)
New Integrable Generalizations of Quantum Calogero-Moser Problem, Usp. Mat. Nauk
, vol.51
, Issue.3
, pp. 185-186
-
-
Veselov, A.P.1
Feigin, M.V.2
Chalykh, O.A.3
-
67
-
-
33646881582
-
-
MR 97e:58122
-
English transi, in Russian Math. Surveys 57 (1996), no. 3. MR 97e:58122
-
(1996)
Russian Math. Surveys
, vol.57
, Issue.3
-
-
|