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Toeplitz operators in a quarter-plane
Author:
Gilbert Strang
Journal:
Bull. Amer. Math. Soc. 76 (1970), 1303-1307
MSC (1970):
Primary 4255, 4725; Secondary 4425
MathSciNet review:
0268698
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References |
Similar Articles |
Additional Information
- 1.
L.
S. Gol′denšteĭn and I.
C. Gohberg, On a multidimensional integral equation on a half-space
whose kernel is a function of the difference of the arguments, and on a
discrete analogue of this equation, Soviet Math. Dokl.
1 (1960), 173–176. MR 0117519
(22 #8298)
- 2.
L.
S. Gol′denšteĭn, Criteria for one-sided
invertibility of functions of several isometric operators and their
applications, Dokl. Akad. Nauk SSSR 155 (1964),
28–31 (Russian). MR 0161195
(28 #4403)
- 3.
R.
G. Douglas and Roger
Howe, On the 𝐶*-algebra of Toeplitz
operators on the quarterplane, Trans. Amer.
Math. Soc. 158
(1971), 203–217. MR 0288591
(44 #5787), http://dx.doi.org/10.1090/S0002-9947-1971-0288591-1
- 4.
V.
A. Malyšev, The solution of the discrete Wiener-Hopf
equations in a quarter-plane., Dokl. Akad. Nauk SSSR
187 (1969), 1243–1246 (Russian). MR 0262858
(41 #7463)
- 5.
Stanley
J. Osher, On certain Toeplitz operators in two variables,
Pacific J. Math. 34 (1970), 123–129. MR 0267408
(42 #2310)
- 6.
S. N. Busenberg, Iterative solution of the Wiener-Hopf problem in several variables, Proc. Amer. Math. Soc. (submitted).
- 7.
Edgar
A. Kraut and Guy
W. Lehman, Diffraction of electromagnetic waves by a right-angle
dielectric wedge., J. Mathematical Phys. 10 (1969),
1340–1348. MR 0249037
(40 #2285)
- 8.
P. D. Lax, Toeplitz operators, AFOSR Lectures in Differential Equations, George Washington University, Washington, D. C., 1967.
- 9.
I.
B. Simonenko, Convolution type operators in cones, Mat. Sb.
(N.S.) 74 (116) (1967), 298–313 (Russian). MR 0222723
(36 #5773)
- 1.
- L. S. Gol'denšteĭn and I. C. Gohberg, On a multi-dimensional integral equation on a half-space whose kernel is a function of the arguments and on a discrete analogue of this equation, Dokl. Akad. Nauk SSSR 131 (1960), 9-12=Soviet Math. Dokl. 1 1960), 173-176. MR 22 #8298. MR 117519
- 2.
- L. S. Gol'denšteĭn, Criteria for one-sided invertibility of functions of several isometric operators and their applications, Dokl. Akad. Nauk SSSR 155 (1964), 28-31=Soviet Math. Dokl. 5 (1964), 330-334. MR 28 #4403. MR 161195
- 3.
- R. G. Douglas and R. Howe, On the C*-algebra of Toeplitz operators on the quarter-plane(to appear). MR 288591
- 4.
- V. A. Malyšev, On the solution of discrete Wiener-Hopf equations in a quarter-plane, Dokl. Akad. Nauk SSSR 187 (1969), 1243-1246=Soviet Math. Dokl. 10 (1969), 1032-1036. MR 262858
- 5.
- S. J. Osher, On certain Toeplitz operators in two variables, Pacific J. Math. (to appear). MR 267408
- 6.
- S. N. Busenberg, Iterative solution of the Wiener-Hopf problem in several variables, Proc. Amer. Math. Soc. (submitted).
- 7.
- E. A. Kraut and G. W. Lehman, Diffraction of electromagnetic waves by a rightangle dielectric wedge, J. Mathematical Phys. 10 (1969), 1340-1348. MR 249037
- 8.
- P. D. Lax, Toeplitz operators, AFOSR Lectures in Differential Equations, George Washington University, Washington, D. C., 1967.
- 9.
- I. B. Simonenko, Operators of convolution type in cones, Mat. Sb. 74 (116) (1967) 298-313=Math. USSR Sb. 3 (1967), 279-293. MR 36 #5773. MR 222723
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12651-9
PII:
S 0002-9904(1970)12651-9
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