Mair, Bernard A.

34 papers

2037651
Wilson, David C.(1-FL); Mair, Bernard A.(1-NCS)
Thin-plate spline interpolation.
Sampling, wavelets, and tomography, 311--340,
Appl. Numer. Harmon. Anal.,
Birkhäuser Boston, Boston, MA, 2004.
65D07 (41A15 41A63)
1940996 (2003m:92039)
Mair, B. A.(1-FL); Zahnen, J. A.(1-FL)
Mathematical models for 2D positron emission tomography. (English. English summary)
Inverse problems, image analysis, and medical imaging (New Orleans, LA, 2001), 153--169,
Contemp. Math., 313,
Amer. Math. Soc., Providence, RI, 2002.
92C55 (31A10 44A12 65R32)
1916317 (2003d:62072)
Mair, B. A.(1-FL); Rao, Murali(1-FL); Anderson, J. M. M.(1-FL-EL)
A minimum chi-squared method for indirect parameter estimation from Poisson data. (English. English summary)
Special issue: Frontier research in theoretical statistics, 2000 (Eindhoven).
Statist. Neerlandica 56 (2002), no. 2, 165--178.
62F10 (62B10 62M40)
1838780 (2002j:94001)
Carroll, R. B.; Mair, B. A.(1-FL)
A new model and reconstruction method for 2D PET based on transforming detector tube data into detector arc data. (English. English summary)
J. Math. Imaging Vision 14 (2001), no. 2, 165--185.
94A08 (68U05 92C55)
1772037 (2001i:62046)
Mair, Bernard A.(1-FL); Ruymgaart, Frits H.(1-TXT); Urrabazo, Theresa(1-TXT)
Some comments on Wicksell's problem. (English. English summary)
J. Statist. Plann. Inference 87 (2000), no. 1, 31--42.
62G07 (65C50)
1741238 (2001b:92014)
Mair, B. A.(1-FL)
A mathematical model incorporating the effects of detector width in 2D PET. (English. English summary)
Inverse Problems 16 (2000), no. 1, 223--246.
92C55 (31A05 33C90 44A12 65R10)
1464038
Anderson, J. M. M.(1-FL-EL); Mair, B. A.(1-FL); Rao, Murali(1-FL)
Positron emission tomography: a review. (English. English summary)
Shape optimization and scientific computations (Warsaw, 1995).
Control Cybernet. 25 (1996), no. 5, 1089--1111.
92C55 (65R10 65R30)
1439715 (99b:62051)
Dey, A. K.(1-TXT); Ruymgaart, F. H.(1-TXT); Mair, B. A.(1-FL)
Cross-validation for parameter selection in inverse estimation problems. (English. English summary)
Scand. J. Statist. 23 (1996), no. 4, 609--620.
62G05
1421659 (97h:65163)
Mair, B. A.(1-FL); Rao, Murali(1-FL); Anderson, J. M. M.(1-FL-EL)
Positron emission tomography, Borel measures and weak convergence. (English. English summary)
Inverse Problems 12 (1996), no. 6, 965--976.
65R20 (92C55)
1409127 (97k:62095)
Mair, Bernard A.(1-FL); Ruymgaart, Frits H.(1-TXT)
Statistical inverse estimation in Hilbert scales. (English. English summary)
SIAM J. Appl. Math. 56 (1996), no. 5, 1424--1444.
62G05
1349596 (96g:65126)
Mair, B. A.(1-FL); Ruymgaart, F. H.(1-TXT)
A cross validation method for first kind integral equations.
Computation and control, IV (Bozeman, MT, 1994), 259--267,
Progr. Systems Control Theory, 20,
Birkhäuser Boston, Boston, MA, 1995.
65R20 (45L05 65R30)
1303380 (95h:62065)
Mair, B. A.(1-FL)
A cross-validation method for non-parametric estimation. (English. English summary)
Modelling, identification, sensitivity analysis and control of structures.
Control Cybernet. 23 (1994), no. 4, 733--743.
62G05
1287987 (95k:33021)
Mair, B. A.(1-FL); McCullough, Scott(1-FL)
Invariance of extreme harmonic functions on an annulus; applications to theta functions.
Houston J. Math. 20 (1994), no. 3, 453--473.
33D10 (31A05)
1257145 (95c:65090)
Mair, B. A.(1-FL)
Tikhonov regularization for finitely and infinitely smoothing operators. (English. English summary)
SIAM J. Math. Anal. 25 (1994), no. 1, 135--147.
65J20 (47A50 65J10)
1247481
Mair, B. A.(1-FL)
Over-regularization of ill-posed problems.
Computation and control, III (Bozeman, MT, 1992), 255--263,
Progr. Systems Control Theory, 15,
Birkhäuser Boston, Boston, MA, 1993.
65J20 (47A50)
1226443 (94d:42045)
Mair, B. A.(1-FL); McCullough, Scott(1-FL); Rao, Murali(1-FL)
Wavelets generated by three-term two-scale relations. (English. English summary)
Ulam Quart. 2 (1993), no. 1, 24ff., approx. 8 pp. (electronic only).
42C15 (41A15)
1151970 (92m:35270)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-FL)
Stability of a convolution method for inverse heat conduction problems.
J. Math. Systems Estim. Control 1 (1991), no. 4, 487--497.
35R30 (35R25 45D05 45L05)
1140019
Gilliam, David S.(1-TXT); Lund, John R.(1-MTS); Mair, Bernard A.(1-FL); Martin, Clyde F.(1-TXT)
A regularization method for inverse heat conduction problems.
Computation and control, II (Bozeman, MT, 1990), 135--149,
Progr. Systems Control Theory, 11,
Birkhäuser Boston, Boston, MA, 1991.
49N50 (93C20)
1088220 (91m:49040)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-FL); Martin, C. F.(1-TXT)
An inverse convolution method for regular parabolic equations.
SIAM J. Control Optim. 29 (1991), no. 1, 71--88.
49N50 (35R30 49K20)
1115463 (92i:93022)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-TXT); Martin, C. F.(1-TXT)
Discrete observability of linear parabolic systems.
Signal processing, scattering and operator theory, and numerical methods (Amsterdam, 1989), 339--346,
Progr. Systems Control Theory, 5,
Birkhäuser Boston, Boston, MA, 1990.
93B07 (93C20)
1073864 (91h:65143)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-TXT); Martin, C. F.(1-TXT)
Determination of initial states of parabolic systems from discrete data.
Inverse Problems 6 (1990), no. 5, 737--747.
65M30 (35K20 35R30 93B30)
974520 (90m:31013)
Mair, B. A.(1-TXT); Philipp, Stan; Singman, David(1-GMSN)
Generalized local Fatou theorems and area integrals.
Trans. Amer. Math. Soc. 321 (1990), no. 1, 401--413.
31B25
1046852 (91h:35326)
Mair, B. A.(1-TXT)
On the recovery of surface temperature and heat flux via convolutions.
Computation and control (Bozeman, MT, 1988), 197--207,
Progr. Systems Control Theory, 1,
Birkhäuser Boston, Boston, MA, 1989.
35R30 (35B37 35K20 65N35)
1007900 (90i:43008)
Mair, B. A.(1-FL); Philipp, Stanton; Singman, David(1-GMSN)
A converse Fatou theorem on homogeneous spaces.
Illinois J. Math. 33 (1989), no. 4, 643--656.
43A85 (31B25)
989933 (90e:31006)
Mair, B. A.(1-TXT); Philipp, Stanton; Singman, David(1-GMSN)
A converse Fatou theorem.
Michigan Math. J. 36 (1989), no. 1, 3--9.
31B20
1031057
Gilliam, D. S.(1-TXT); Mair, B. A.(1-TXT); Martin, C. F.(1-TXT)
Observability and inversion for the heat equation.
Linear circuits, systems and signal processing: theory and application (Phoenix, AZ, 1987), 363--370,
North-Holland, Amsterdam, 1988.
35R30 (35K05)
976095 (89i:93014)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-TXT); Martin, C. F.(1-TXT)
Observability and determination of surface temperature. I.
Internat. J. Control 48 (1988), no. 6, 2249--2264.
93B07 (35R30 93C20)
956621 (89j:80010)
Gilliam, D. S.(1-TXT); Mair, B. A.(1-TXT); Martin, C. F.(1-TXT)
A convolution method for inverse heat conduction problems.
Math. Systems Theory 21 (1988), no. 1, 49--60.
80A20 (30E25)
876474 (88f:31011)
Mair, B. A.(1-TXT); Singman, David(1-PASME)
A generalized Fatou theorem.
Trans. Amer. Math. Soc. 300 (1987), no. 2, 705--719.
31B25 (31C99 42B25)
833703 (87h:35145)
Mair, B. A.(1-PASMA)
Boundary behavior of positive solutions of the heat equation on a semi-infinite slab.
Trans. Amer. Math. Soc. 295 (1986), no. 2, 687--697.
35K20 (31B25)
822390 (87h:35134)
Mair, B. A.(1-PASMA)
Integral representations for positive solutions of the heat equation on some unbounded domains.
Illinois J. Math. 30 (1986), no. 1, 175--184.
35K05
797068 (87h:35139)
Mair, Bernard(1-PASMA)
Erratum to: "Fine and parabolic limits for solutions of second-order linear parabolic equations on an infinite slab" [Trans. Amer. Math. Soc. 284 (1984), no. 2, 583--599; MR0743734 (85f:35102)].
Trans. Amer. Math. Soc. 291 (1985), no. 1, 381.
35K10 (31B25)
890370 (89g:31006)
Mair, Bernard(JA-UWI); Taylor, J. C.(3-MGL)
Integral representation of positive solutions of the heat equation.
Théorie du potentiel (Orsay, 1983), 419--433,
Lecture Notes in Math., 1096,
Springer, Berlin, 1984.
31B10
743734 (85f:35102)
Mair, B. A.
Fine and parabolic limits for solutions of second-order linear parabolic equations on an infinite slab.
Trans. Amer. Math. Soc. 284 (1984), no. 2, 583--599.
35K10 (31B25)

Last update made Sat Aug 13 21:25:17 EDT 2005