Journal Publications 

1.    Absolutely continuous Jacobi operators. Proc. Amer. Math. Soc.130 (2002), 2369-2376. .pdf

2.    (with Joanne Dombrowski) Spectral transition parameters for a class of Jacobi matrices. Studia Math. 152 (2002), 217-229. .pdf

3.    (with Joanne Dombrowski) Absolute continuity for unbounded Jacobi matrices with constant row sums. J. Math. Anal. Appl. 267 (2002), no. 2, 695-713. 47B36 (26A46 42XX) .pdf

4.    (with Yang Wang) Universal spectra, universal tiling sets and the spectral set conjecture. Math. Scand. 88 (2001), no. 2, 246-256. 42XX .pdf

5.    (with Palle E. T. Jorgensen) Spectral pairs in Cartesian coordinates. J. Fourier Anal. Appl. 5 (1999), no. 4, 285-302. MR 2002d:42027 (Reviewer: J. C. Lagarias) 42C05 (46L55 47A99) .pdf

6.    (with Joanne Dombrowski) Spectral properties of Jacobi matrices whose diagonal sequences are multiples of the off diagonal sequence. Math. Sci. Res. HotLine 4 (2000), no. 10, 1-21. MR 2002b:47060 (Reviewer: V. G. Kurbatov) 47B36 (39A70) .pdf

7.    (with Palle E. T. Jorgensen) Commuting selfadjoint extensions of symmetric operators defined from the partial derivatives. J. Math. Phys. 41 (2000), no. 12, 8263-8278. MR 2001k:47071 (Reviewer: Alexei Yu. Konstantinov) 47F05 (47B25) .pdf

8.    (with Alex Iosevich) How large are the spectral gaps? Pacific J. Math. 192 (2000), no. 2, 307-314. MR 2001b:42038 (Reviewer: Luca Brandolini) 42C15 .pdf

9.    (with Alex Iosevich and Nets Katz) Fourier bases and a distance problem of Erds. Math. Res. Lett. 6 (1999), no. 2, 251-255. MR 2000j:42013 (Reviewer: Luca Brandolini) 42A65 (42C30 52C10) .pdf

10.  (with Alex Iosevich) Spectral and tiling properties of the unit cube. Internat. Math. Res. Notices 1998, no. 16, 819-828. MR 2000d:52015 (Reviewer: J. C. Lagarias) 52C22 (11K70 42B05 47A13) .pdf

11.  (with Palle E. T. Jorgensen) Dense analytic subspaces in fractal L2spaces. J. Anal. Math. 75 (1998), 185-228. MR 2000a:46045 (Reviewer: Javier Soria) 46E30 (28A75 42C05 46L55 47B38) .pdf

12.  (with Mohamed Barraa) On the product of two generalized derivations. Proc. Amer. Math. Soc. 127 (1999), no. 9, 2679-2683. MR 99m:47041 (Reviewer: Martin Mathieu) 47B47 (46L57) .pdf

13.  (with Palle E. T. Jorgensen) Orthogonal harmonic analysis and scaling of fractal measures. C. R. Acad. Sci. Paris Sr. I Math. 326 (1998), no. 3, 301-306. MR 99h:28019 (Reviewer: Paul Jolissaint) 28A80 (42B10 46E30) .pdf

14.  Anticommuting derivations. Proc. Amer. Math. Soc. 127 (1999), no. 4, 1103-1108. MR 99f:46098 (Reviewer: Geoffrey Price) 46L57 .pdf

15.  (with Palle E. T. Jorgensen) Orthogonal harmonic analysis of fractal measures. Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 35-42 (electronic). MR 99b:28008 (Reviewer: Peter R. Massopust) 28A75 (28A80 42B10 42C05 47B38) .pdf

16.  (with Joanne Dombrowski) Spectral measures and Jacobi matrices related to Laguerre type systems of orthogonal polynomials. Constr. Approx. 13 (1997), no. 3, 421-433. MR 98e:47041 47B25 (33C45 42C05 47A10 47A57 47B39)

17.  Spectral sets whose spectrum is a lattice with a base. J. Funct. Anal. 141 (1996), no. 2, 496-509. MR 98b:47011a (Reviewer: Palle E. T. Jorgensen) 47A13 (11K70 20C35 28A80 42A20 42C10 46N20 47F05) .pdf

18.  (with Palle E. T. Jorgensen) Harmonic analysis of fractal measures. Constr. Approx. 12 (1996), no. 1, 1-30. MR 97c:46091 (Reviewer: Paul Jolissaint) 46L99 (28A75 42B10)

19.  (with Joanne Dombrowski) Orthogonal polynomials, spectral measures, and absolute continuity. Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994). J. Comput. Appl. Math. 65 (1995), no. 13, 115-124. MR 97b:47027 (Reviewer: Nicholay G. Tomin) 47B37 (33C45 39A70 42C05)

20.  (with Palle E. T. Jorgensen) Harmonic analysis and fractal limit measures induced by representations of a certain C* algebra. J. Funct. Anal. 125 (1994), no. 1, 90-110. MR 95i:47067 (Reviewer: Paul Jolissaint) 47B99 (42A99 46L99 47A10) .pdf

21.  (with Palle E. T. Jorgensen) Group theoretic and geometric properties of multivariable Fourier series. Exposition. Math. 11 (1993), no. 4, 309-329. MR 94k:42050 (Reviewer: Michel Gatesoupe) 42C15 (42A75 42B99 43A60 47B99)

22.  (with Palle E. T. Jorgensen) Harmonic analysis of fractal measures induced by representations of a certain C* algebra. Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 2, 228-234. MR 94b:46094 46L55 (28A80 42C05) .pdf

23.  (with Palle E. T. Jorgensen) Spectral theory for Borel sets in Rn of finite measure. J. Funct. Anal. 107 (1992), no. 1, 72-104. MR 93k:47005 (Reviewer: Ral E. Curto) 47A10 (46L99 47B25)

24.  (with Ronghui Ji) Certain full group C*-algebras without proper projections. J. Operator Theory 24 (1990), no. 2, 239-253. MR 93c:46109 (Reviewer: Masatoshi Enomoto) 46L05

25.  (with Palle E. T. Jorgensen) An algebraic spectral problem for L2(\Omega), \Omega\subset Rn. C. R. Acad. Sci. Paris Sr. I Math. 312 (1991), no. 7, 495-498. MR 92b:47043 47B38 (46E99 46L99)

26.  The product of two (unbounded) derivations. Canad. Math. Bull. 33 (1990), no. 3, 345-348. MR 92a:46081 (Reviewer: Geoffrey Price) 46L57 (46L40 47B47)

27.  Groups of isometries on operator algebras. II. Rocky Mountain J. Math. 18 (1988), no. 4, 753-765. MR 91d:46085 46L55 (47D03)

28.  (with Ameer Athavale) Moment problems and subnormality. J. Math. Anal. Appl. 146 (1990), no. 2, 434-441. MR 91c:47039 (Reviewer: Tiberiu Constantinescu) 47B20 (44A60 47A57)

29.  Anticommuting selfadjoint operators. J. Funct. Anal. 89 (1990), no. 2, 428-443. MR 91a:47027 (Reviewer: F.H. Vasilescu) 47B25

30.  Groups of isometries on operator algebras. Studia Math. 90 (1988), no. 2, 103-116. MR 90b:46124 (Reviewer: M. I. Nessonov) 46L55 (46L40)

31.  Spectral theory of commuting selfadjoint partial differential operators. J. Funct. Anal. 73 (1987), no. 1, 122-134. MR 89m:35163 35P05 (22D10 47F05)

32.  (with Palle E. T. Jorgensen) Harmonic analysis on tori. Acta Appl. Math. 10 (1987), no. 1, 87-99. MR 89e:22010 (Reviewer: Roberto J. Miatello) 22D10 (11F06 22E40 42C99)

Papers Currently Submitted

1.    The dual spectral set conjecture. .pdf

2.    (with Joanne Dombrowski, Jan Janas and Marcin Moszynski) Spectral gaps resulting from periodic pertubations of a class of Jacobi operators..pdf

Full Papers in Conference Proceedings

1.    (with Palle E. T. Jorgensen) Estimates on the spectrum of fractals arising from affine iterations. Fractal geometry and stochastics (Finsterbergen, 1994), 191-219, Progr. Probab., 37, Birkhuser, Basel, 1995. MR 97f:28017(Reviewer: Peter R. Massopust) 28A75 (28A80 42B10 46L99) .pdf

2.    (with Joanne Dombrowski) Orthogonal polynomials, spectral measures, and absolute continuity. Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994). J. Comput. Appl. Math. 65 (1995), no. 13, 115-124. MR 97b:47027 (Reviewer: Nicholay G. Tomin) 47B37 (33C45 39A70 42C05). This paper is also listed under journal publications.



Announcements in Conference Proceedings

1.    (with Ronghui Ji) Full group C*algebras and the generalized Kadison conjecture, Operator Theory: Proceedings of the 1988 GPOTS Wabash Conference (Indianapolis, IN, 1988), 43-47, Pitman Res. Notes Math. Ser., 225, Longman Sci. Tech., Harlow, 1990. MR 92c:46060 (Reviewer: Mahmood Khoshkam) 46L05


2002-11-05