Published articles/essays

These are in order from newest to oldest. I have linked to some of the full articles and some citations below.

  • Orchestral turbulence (ed. Alice Wonders): Math in the Time of Corona, Springer Nature Switzerland, Cham, Switzerland.
  • The geometry of manifolds and the perception of space, (eds.: Shyam Wupperli and Giancarlo Ghiradi): Space, Time and the Limits of Human Understanding, Springer International Publishing, Cham/Switzerland, 2017, pp. 239-252.
  • Akademische Kooperation zwischen Bremen und den Vereinigten Staaten von Amerika, (ed.: Lars U. Scholl): Bremen und Amerika. Die Verbindungen der Hansestadt mit den Vereinigten Staaten (Jahrbuch der Wittheit zu Bremen 2008/2009), Bremen, 2010, pp. 183-190.
  • Neue Rechtsformen als Finanzierungsherausforderung. (eds.: Kämmerer, J.A., Rawert, P.): Hochschulstandort Deutschland : rechtlicher Rahmen – politische Herausforderungen, Heymanns Verlag, Cologne, 2002, pp.157-165.
  • (with K. Berkner), Smoothness estimates for soft-thresholding denoising via translation-invariant wavelet transforms, Applied and Computational Harmonic Analysis, 2002, 12, pp 1-24.
  • (with J. Tian), A fast implementation of the wavelet transform for m-band filter banks, Wavelet Applications V, (ed.: H. H. Szu), Proc. SPIE 3391, 1998, pp. 534-545.
  • (with K. Berkner), A new hierarchical scheme for approximating the continuous wavelet transform with applications to edge detection, (submitted to IEEE Signal Processing Letters, July 1997).
  • (with Jun Tian), An algebraic structure of orthogonal wavelet space, Applied and Computational Harmonic Analysis, 8, pp. 223-248, 2000.
  • (with Jun Tian), L2 Convergence of Biorthogonal Coifman Wavelet Systems, in Approximation Theory IX, (eds.: C. K Chui, and L. L. Schumaker) Vanderbilt Univ. Press, Nashville, TN, pp. 327-335, 1998.
  • (with Jun Tian), Embedded Image Coding Using Wavelet Difference Reduction” to appear in Wavelet Image and Video Compression, (ed.: P. Topiwala), Kluwer Academic Publishers, Norwell, MA, pp. 289-301, 1998.
  • (with T. Netsch, Jun Tian, M. Lang, C. Evertsz, H. Juergens, and H.-O Peitgen), Automatic detection of microcalcification clusters on compressed digitized mammograms, Medical Physics (to appear), 1998.
  • (with Dong Wei, Jun Tian and C. S. Burrus), A new class of biorthogonal wavelets for image transport codingIEEE Transactions on Image Processing, (to appear), 1998.
  • (with Jun Tian), Vanishing moments and biorthogonal wavelet systems, in Mathematics in Signal Processing IV, J. (ed.: G. McWhirter), Oxford University Press, 1997.
  • (with K. Berkner), A fast approximation to the continuous wavelet transform with, Proc. Of 31thAsilomar Conference on signals, systems, and computers, Pacific Grove, CA., 1997.
  • (with J. Tian, J. E. Odegard, and C. S. Burrus), Coifman wavelet systems: approximation, smoothness, and computational algorithms, Computational Science for the 21st Century, John Wiley & Sons Ltd., pp. 831-840, 1997.
  • (with J. Ko, A. J. Kurdila, and X. Zhou) On the Stability of Numerical Boundary Measures in Wavelet Galerkin MethodsCommunications in Numerical Methods in Engineering, 12, pp. 281-294, 1996.
  • (with Jun Tian), A remark on vanishing moments, in Proc. Of 30th Asilomar Conference on signals, Systems, and computers, (ed.: A. Singh), pp. 983-987, Pacific Grove, CA, IEEE Computer Society Press, 1996.
  • (with Anne Papakonstantinou, Joe Austin and Scott Berger) Rice University Affiliates Program: the Marshall Plan, Schools in the Middle: Theory into Practice (National Assn. of Secondary School Principals), 1996.
  • (with Jun Tian, H. Guo, C. S. Burrus, and J. E. Odegard), Evaluation of a new wavelet-based compression algorithm for synthetic aperture radar images, Algorithms for Synthetic Aperture Radar Imagery III, (eds.: E. G. Zelnio, R. J. Douglass), Proc. SPIE 2557, pp. 421-430, Orlando, FL, 1996.
  • (with Jun Tian), A lossy image codec based on index coding, Proceedings of IEEE Data Compression Conference, Utah, IEEE Computer Society Press, pp. 456, 1996.
  • (with M. Lang, H. Guo, J. E. Odegard, C. S. Burrus), Noise reduction using an undecimated discrete wavelet transform, IEEE Signal Processing Letters, Vol. 3, No. 1, pp. 10-12, 1996.
  • (with Glowinski, R., Rieder, A., and Zhou, X.) A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domainsMod’elisation Math’ematique et Analyse Num’erique, 1996.
  • (with J. Tian), Image data processing in the compressed wavelet domain, in Proc of 3rd International Conference on Signal Processing, (eds.: B. Yuan, X. Tang), pp. 978-981, Beijing, China, IEEE Press, 1996.
  • (with Glowinski, R., Pan, T.W., and Zhou, X.), Wavelet Solutions for the Neumann Problem, J. Comp. Physics Vol. 126, pp. 40-51, 1996.
  • (with Glowinski, R., Rieder, A., and Zhou, X.), A preconditioned CG-method for wavelet-Galerkin discretizations of elliptic problems. Z. Angew. Math. Mech75, pp. 683-684, 1995.
  • (with Zhou, X.), Wavelet Solutions for the Dirichlet Problem. Numer. Mathematik, 70, pp. 379-396, 1995.
  • (with M. Lang, H. Guo, J. E. Odegard, C. S. Burrus), Nonlinear processing of a shift-invariant DWT for noise reduction, Wavelet Applications for Dual-Use, SPIE Proceedings, Vol. 2491, 1995.
  • (with J. E. Odegard, H. Guo, M. Lang, C. S. Burrus, L.. M. Novak, M. Hiett), Wavelet-based SAR speckle reduction and image compression, Algorithms for Synthetic Aperture Radar Imagery II, Proceedings of SPIE, Vol. 2487, pp. 259-271, 1995.
  • (with P. N. Heller and J. Shapiro), Image compression using optimal wavelet basis, Wavelet Applications for Dual-Use, SPIE Proceedings, Vol. 2491, pp. 119-130, 1995.
  • (with H. Bray, K. McCormick, and X. Zhou), Wavelet variations of the Shannon sampling theorem, Bio Systems, Vol. 34, Nos. 1-4pp. 249-257, 1994.
  • Recent advances in wavelet technology, Proceedings of Dual-Use Technology Conference, 1994. NASA Conference Publication 3263, Vol. 2, pp. 625-632, 1994.
  • (with A. Rieder and X. Zhou), On the wavelet frequency decomposition method. Wavelet Applications, Harold H. Szu (ed.), Proc SPIE 2242, pp. 14-18, 1994.
  • Multiscale applications of wavelets to solutions of partial differential equations, Proceedings of the Lanczos Conference, Raleigh, NC, (1993), 1994.
  • Adaptive wave propogation modeling, Optical Engineering, Vol. 33, No. 7, pp. 2224, 1994.
  • Wavelets and Wave Propagation Modeling. Proceedings of SPIE OE/Aerospace Sensing Conference, Orlando, 1994. Proc SPIE 2242, pp. 88-99, 1994.
  • (with Heller, P.), The spectral theory of multiresolution operators and applications, in Wavelets: Theory, Algorithms, and Applications, (Edited by C. K. Chui, L. Montefusco, L. Puccio), Academic Press, pp. 13-31, 1994.
  • (with Rieder, A., and Zhou, X.), A wavelet approach to robust multilevel solvers for anisotropic elliptic problemsApplied and Computational Harmonic Analysis1, pp. 355-367, 1994.
  • (with McCormick, Kent), Wavelet Calculus and Finite Difference OperatorsMathematics of Computation, Vol. 63, No. 207, pp. 155-173, 1994
  • (with Zhou, X.), Wavelet Interpolation and Approximate Solutions of Elliptic Partial Differential Equations, in Noncompact Lie Groups and Some of their Applications (eds.: R. Wilson and E. A. Tanner), Kluwer Acad. Press, pp. 349-366, 1994.
  • Parametrizing smooth compactly supported waveletsTrans. AMS338, No. 2, pp. 919-931, 1993.
  • (with Glowinski, R., Periaux, J., Ravachol, M., Pan, T.W., and Zhou, X.), Wavelet Methods in Computational Fluid Dynamics, in Hussainy et al. (ed.), Algorithmic Trends in Computational Fluid Dynamics, Springer-Verlag, pp. 259-276, 1993.
  • (with P. Heller, and H. L. Resnikoff), Wavelet matrices and the representation of discrete functions, (ed.: C. K. Chui), Wavelets–A Tutorial in Theory and Applications, Academic Press, pp. 15-50, 1992.
  • (with Zhou, Xiaodong), Representing the geometry of domains by wavelets with applications to partial differential equations, Curves and Surfaces in Computer Vision and Graphics III, International Society for Optical Engineering, 1992.
  • (with Resnikoff, Howard L.), Wavelet Analysis and the Geometry of Euclidean DomainsJournal of Geometry and Physics (Penrose Festschrift) (8) 1-4, pp. 273-282, 1992.
  • Projective embeddings of complex supermanifolds, Proceedings of Conference, Differential Geometric Methods in Physics — Physics and Geometry, (Ed: L.L. Chau and W. Nahm), Plenum, pp. 669-680, 1990.
  • (with Austin, J. D. and Herbert, Elizabeth), Master teachers as teacher role models, Mathematics and Education Reform, Amer. Math. Soc., pp. 189-196, 1990.
  • (with LeBrun, Claude and Poon, Y.S.), Projective embeddings of complex supermanifoldsCommun. Math. Physics, 126, pp. 433-452, 1990.
  • Supermanifolds, Twistor Geometry, and Wavelets, Proceedings of Summer School, Physics and Geometry, Lake Tahoe, CA, 1989.
  • A critique of ICME-6, American Perspectives in the Sixth International Congress on Mathematical Education, National Council of Teachers of Mathematics, pp. 56, 1989.
  • (with Haske, Carl), Serre duality for complex supermanifoldsDuke Math. J., 54, No. 2, 1987.
  • Integral geometry and twistor theory, Contemporary Mathematics, Integral Geometry (Proceedings of Conference, Bowdoin College, 1984), Amer. Math. Soc., Providence, RI, 1985.
  • Twistor geometry and classical field theory (Russian), Uspehki Math. Nauk, 40, No. 4, 1985.
  • Geometry and the Universe, Mapping the Cosmos, Rice University Studies, Houston, Texas, 1985.
  • (with Eastwood, M.G. and Pool, R.), The inverse Penrose transform of a solution to the Maxwell–Dirac–Weyl field equationsJ. Funct. Anal., 60, No. 1, Academic Press, New York and London, pp. 16–35, 1985.
  • The twistor–geometric representation of classical field theories, Lecture Notes in Mathematics, Springer–Verlag, Berlin–Heidelberg–New York, 1985.
  • Nonlinear field equations and twistor theoryMathematical Intelligencer, 7, No. 2, Springer–Verlag, New York, pp. 26–32, 1985.
  • Extensions of holomorphic vector bundles and coupled cohomology equationsProceedings of Symposia in Pure Mathematics, 41, (ed.: Y. T. Siu), Amer. Math. Soc., Providence, RI, pp. 209–216, 1984.
  • Hyperfunction solutions of the massless field equations (in Russian), Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, pp. 309–348, 1983.
  • (with Eastwood, M.G. and Penrose, Roger), Cohomology theory and massless fields, (in Russian), Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, pp. 250–308, 1983.
  • Complex manifolds and mathematical physics, Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, pp. 28–77, 1983.
  • The Cauchy–Riemann equations and differential geometry, Proc. of Symposia in Pure Mathematics, 39.1The Mathematical Heritage of Henri Poincaré, (ed.: F. Browder), Amer. Math. Soc., Providence, RI, pp. 423–435, 1983.
  • (with Bailey, T. and Ehrenpreis, L.) Weak solutions of the massless field equationsProc. Roy. Soc. Lond., A 384, pp. 403–425, 1982.
  • The Cauchy–Riemann equations and differential geometry, Bull. Amer. Math. Soc., (NS), 6, pp. 187–199, 1982.
  • The conformally invariant Laplacian and the Instanton vanishing theorem, Seminar on Differential Geometry, (ed.: S.T. Yau), Princeton Univ. Press, Princeton, NJ, pp. 483–498, 1982.
  • Hyperfunctions solutions of the zero–rest–mass field equations, Comm. Math. Phys., 78, pp. 567–600, 1981.
  • (with Eastwood, Michael and Penrose, Roger) Cohomology and massless fields, Comm. Math. Phys.,78, pp. 305–351, 1981.
  • Chern retires from Berkeley, almost!, Mathematical Intelligencer, 2, No. 2, pp. 78–80, 1980.
  • Cohomology and the Penrose transform, Complex Manifold Techniques in Theoretical Physics, (eds. D. Lerner, P. Sommers), Pitman, London, pp. 92–114, 1979.
  • Complex manifolds and mathematical physicsBull. Amer. Math. Soc. (NS), 1, pp. 296–336, 1979.
  • Deformationes des domaines strictement pseudoconvexes, Lecture Notes in Mathematics, 670Fonctions de Plusier Variables Complexes III, (ed.: F. Norguet), Springer–Verlag, Berlin–Heidelberg–New York, pp. 404–409, 1978.
  • Function theory on differentiable submanifolds, Uspehki. Math. Nauk. 33, (Russian translation by G. Henkin), pp. 152–193, 1978.
  • (with Burns, Daniel, and Snider, Steven) Deformations of strongly pseudoconvex domains, Invent. Math., 46, pp. 237–253, 1978.
  • (with Polking, John) Boundary values of Dolbeault cohomology classes and a generalized Bochner–Hartogs’ Theorem, Abhand. Math. Sem., Univ. Hamburg, 47, pp. 1–24. 1978.
  • (with Wolf, Joseph A.) Poincaré series and automorphic cohomology on flag domains, Ann. of Math., 105, pp. 397–448, 1977.
  • The invariants of E. Cartan–Chern–Moser for a real hypersurface in Cn, Analyse Complex et Geometrie Analytique (1973–75), (ed.: P. Dolbeault), Univ. of Paris VI, Paris, X–1–X.12, 1976.
  • Deformations of strongly pseudoconvex domains in C2, Proceedings of Symposia in Pure Mathematics, 30, Pt. 2, Amer. Math. Soc., Providence, RI, pp. 125–128, 1977.
  • (with Wolf, Joseph A.) Poincaré theta series and L1 cohomology, Proceedings of Symposia in Pure Mathematics, 30, Pt. 2, Amer. Math. Soc., Providence, RI, pp. 55–68, 1977.
  • (with Polking, John) Hyperfunction boundary values and a generalized Bochner–Hartogs’ Theorem, Proceedings of Symposia in Pure Mathematics, 30, Pt. 1, Amer. Math. Soc., Providence, RI, pp. 187–194, 1977.
  • (with Hunt, L.R.) Extensions of CR–functions, Am. J. of Math., 98, pp. 805–820, 1976.
  • (with Hunt, L.R.) Holomorphic extension for nongeneric CR–submanifolds, Proceedings of Symposia in Pure Mathematics, 27, Pt. 2, American Math. Soc., Providence, RI, pp. 81–88, 1975.
  • Comparison of deRham and Dolbeault cohomology for proper surjective mappingsPac. J. Math., 53, pp. 281–300, 1974.
  • Function theory on differentiable submanifolds, Contributions to Analysis, Academic Press, Inc., pp. 407–441, 1974.
  • Moisezon spaces and the Kodaira embedding theorem, Proceedings of the Tulane University Program on Value–Distribution Theory, Part A, Marcel–Dekker Inc., pp. 29–41, 1973.
  • Automorphic cohomology on homogeneous complex manifolds, Rice University Studies59, No. 2, pp. 147–155, 1973.
  • (with Harvey, Reese) Zero sets of nonnegative strictly plurisubharmonic functions, Math. Ann., 201, pp. 165–170, 1973.
  • (with Harvey, Reese) Holomorphic approximation and hyperfunction theory on a C1 totally real submanifold of a complex manifold, Math. Ann., 197, pp. 287–318, 1972.
  • (with Harvey, Reese) Holomorphic approximation on totally real submanifolds of a complex manifold, Bull. Amer. Math. Soc., 77, pp. 824–828, 1971.
  • Parametrizing the compact submanifolds of a period matrix domain by a Stein manifold, Lecture Notes in Mathematics, 184Symposium on Several Complex Variables, Park City, Utah, 1970, Springer–Verlag, Berlin–Heidelberg–New York, pp. 121–150, 1971.
  • (with Hunt, L. R.) The envelope of holomorphy of a 2–sphere in C2, Rice University Studies56, No. 2, pp. 51–62, 1970.
  • (with Bigolin, Bruno) Concerning the refined Chern classes of a holomorphic vector bundle, Ati Accad. Naz. Lincei Rend., 46, pp. 379–384, 1969.
  • Concerning the envelope of holomorphy of a compact differentiable sub-manifold of a complex manifold, Annali Scuola. Norm. di Pisa, 23, pp. 347–361, 1969.
  • (with Nirenberg, R.) Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc., 43, pp. 15–36, 1969.
  • Real–analytic subvarieties and holomorphic approximation, Math. Ann., 179, pp. 130–141, 1969.
  • Compact real submanifolds with nondegenerate holomorphic tangent bundles, Math. Ann., 179, pp. 123–129, 1969.
  • (with Harvey, Reese) Compact holomorphically convex subsets of a Stein manifold, Trans. Amer. Math. Soc., 136, pp. 509–516, 1969.
  • Holomorphic hulls and holomorphic convexity, Rice University Studies54, No. 4, pp. 75–84, 1968.
  • Holomorphic hulls and holomorphic convexity of differentiable submanifoldsTrans. Amer. Math. Soc., 132, pp. 245–262, 1968.
  • (with Nirenberg, R.) Holomorphic approximation on real submanifolds of a complex manifold, Bull. Amer. Math. Soc., 73, pp. 378–381, 1967.
  • Holomorphic approximation on real–analytic submanifolds of a complex manifold, Proc. Amer. Math. Soc., 17, pp. 1272–1275, 1966.
  • Locally holomorphic sets, J. Analyse Math., 17, pp. 337–345, 1966.
  • On the local holomorphic hull of a real submanifold in several complex variablesComm. Pure Appl. Math., 19, pp. 145–165, 1966.
  • (with Gutzwiller, M. C.) The electronic states around a dislocation, J. Phys. Chem. Solids, 27, pp. 349–352, 1966.