John J. Benedetto PUBLICATIONS PATENT U.S. Patent 5,388,182 (Feb. 7, 1995), Nonlinear method and apparatus for coding and decoding acoustic signals with data compression and noise suppression using cochlear filters, wavelet analysis, and irregular sampling reconstruction, with A. Teolis. BOOKS AND PRINTED LECTURE NOTES 1. Generalized Functions, Institute for Fluid Dynamics and Applied Math., BN-431 (1966) 1-380. 2. Pseudo-measures and Harmonic Synthesis, University of Maryland, Department of Mathematics Lecture Notes 5 (1968) 1-316. 3. Harmonic Analysis on Totally Disconnected Sets, Lecture Notes in Mathematics, 202, Springer-Verlag, 1971. 4. Spectral Synthesis, Pure and applied mathematics series, 66, Academic Press, N.Y., 1975. 5. Real Variable and Integration with Historical Notes, Math. Leitfaden series, Teubner, Stuttgart, 1976. 6. A Mathematical Approach to Mathematics Appreciation, Department of Mathematics Lecture Notes 17 (1977) 1-167. 7. Editor of Euclidean Harmonic Analysis, Lecture Notes in Mathematics 779, Springer-Verlag, 1979. 8. Editor (with M. Frazier) of Wavelets: Mathematics and Applications, CRC Press, Boca Raton, FL, 1994. 9. Japanese Translation of Wavelets: Mathematics and Applications, Springer-Verlag, 1995. 10. Harmonic Analysis and Applications, CRC Press, Boca Raton, FL, 1997. 11. Editor (with P. Ferreira) of Modern Sampling Theory: Mathematics and Applications, Birkhauser, Boston, MA, 2000. TECHNICAL REPORTS (UNPUBLISHED MATERIAL) 12. A mathematical introduction to the control problem, RCA Aerospace Communications and Controls Division, (1962), 1-77. 13. Several classified reports on the Early Warning System, RCA Aerospace Communications and Controls Division, (1961-1963). 14. The orbit of an equatorial satellite (with P. Sconzo), IBM Independent Research and Development Report, (1964), 1-42. 15. The Banach-Saks theorem in nuclear spaces, University of Maryland, Department of Mathematics, TR 68-75 (1968), 1-7. 16. Dirichlet series, spectral synthesis, and algebraic number fields, Part I, University of Maryland, Department of Mathematics, TR 71-41 (1971), 1-23. 17. Zeta functions for idelic pseudo-measures, University of Maryland, Department of Mathematics, TR 74-55 (1975), 1-46. 18. Analytic properties of idelic pseudo-measures, University of Maryland, Department of Mathematics, TR 77-62 (1977), 1-33. 19. The role of Wiener's Tauberian theorem in power spectrum computation, University of Maryland, Department of Mathematics, TR 81-41 (1981), 1-44. 20. Spectral deconvolution, University of Maryland, Department of Mathematics, TR 81-63 (1981), 1-25. 21. Estimation problems and stochastic image analysis (with S. Belbas), University of Maryland, Department of Mathematics, TR89-67 (1983), 1-15. 22. Heisenberg wavelets and the uncertainty principle, Prometheus Inc., TR (1990), 1-3. 23. Wavelet auditory models and irregular sampling, Prometheus Inc., TR (1990), 1-6. 24. Irregular sampling and the theory of frames, in The Role of Wavelets in Signal Processing Applications, AFT Science and Research Center, Wright-Patterson Air Force Base, TR(1992), 21-44. 25. An elementary RMS calculation for spread spectrum synchronization, The MITRE Corp., TR (1992), 1-13. 26. Noise reduction filters in mathematical models of biological systems, The MITRE Corp., TR (1994), 1-6. PUBLISHED PAPERS 27. Representation theorem for the Fourier transform of integrable functions, Bull. Soc. Roy. Sci. de Liege 9-10 (1965), 601-604. 28. Onto Criterion for adjoint maps, Bull. Soc. Roy. Sci. de Liege 9-10 (1965), 605-609. 29. The Laplace transform of generalized functions, Canad. J. Math. 18 (1966), 357-374. 30. Tauberian translation algebras, Ann. di Mat. 74 (1967), 255-282. 31. Analytic representation of generalized functions, Math .Zeit. 97 (1967), 303-319. 32. A strong form of spectral resolution, Ann. di Mat. 86 (1970), 313-324. 33. Sets without true distributions, Bull. Soc. Roy. Sci. de Liege 7-8 (1970), 434-437. 34. Support preserving measure algebras and spectral synthesis, Math. Zeit. 118 (1970), 271-280. 35. Trigonometric sums associated with pseudo-measures, Ann. Scuola Norm. Sup., Pisa 25 (1971), 229-248. 36. Sui problemi di sintesi spettrale, Rend. Sem. Mat., Milano 4l (1971), 55-61. 37. Il Problema degli insiemi Helson-S, Rend. Sem. Mat., Milano 41 (1971), 63-68. 38. (LF) spaces and distributions on compact groups and spectral synthesis on R/Z, Math. Ann. 194 (197l), 52-67. 39. Ensembles de Helson et synthese spectrale, CRAS, Paris 274 (1972), 169-170. 40. Construction de fonctionnelles multiplicatives discontinues sur des algebres metriques, CRAS, Paris 274 (1972), 254-256. 41. A support preserving Hahn-Banach property to determine Helson-S Sets, Inventiones Math. 16 (1972), 214-228. 42. Idele characters in spectral synthesis on R/Z, Ann. Inst. Fourier 23 (1973), 45-64. 43. Pseudo-measure energy and spectral synthesis, Can. J. Math. 26 (1974), 985-1001. 44. Tauberian theorems, Wiener's spectrum, and spectral synthesis, Rend. Sem. Mat., Milano 44 (1974), 63-73. 45. The Wiener spectrum in spectral synthesis, Studies in Applied Math. (MIT) 54 (1975), 91-115. 46. Idelic pseudo-measures and Dirichlet series, Symposia Mathematica, Academic Press, 1976 Conference on Harmonic Analysis, Rome 22 (1977), 205-222. 47. Zeta Functions for idelic pseudo-measures, Ann. Scuola Norm. Sup., Pisa 6 (1979) 367-377. 48. Fourier analysis of Riemann distributions and explicit formulas, Math. Ann. 252 (1980), 141-164. 49. The theory of constructive signal analysis, Studies in Applied Math. (MIT) 65 (1981), 37-80. 50. A closure problem for signals in semigroup invariant systems, SIAM J. Math. Analysis 13 (1982),180-207. 51. Harmonic analysis and spectral estimation, J. Math. Analysis and Applications 91 (1983), 444-509. 52. Weighted Hardy spaces and the Laplace transform (with H. Heinig), Lecture Notes in Mathematics, 992, Springer Verlag (Cortona Conference, 1982), (1983), 240-277. 53. Wiener's Tauberian theorem and the uncertainty principle, Proc. of Modern Harmonic Analysis Conference, Torino-Milano (1982), (1983), 863-887. 54. A local uncertainty principle, SIAM, J. Math. Analysis 15 (1984), 988-995. 55. An inequality associated with the uncertainty principle, Rend. Circ. Mat. di Palermo 34 (1985), 407-421. 56. Some mathematical methods for spectrum estimation, in Fourier Techniques and Applications, J.F. Price, editor, Plenum Publishing (1985), 73-100. 57. Fourier uniqueness criteria and spectrum estimation theorems, in Fourier Techniques and Applications, J.F. Price, editor, Plenum Publishing (1985), 149-172. 58. Inequalities for spectrum estimation, Linear Algebra and Applications 84 (1986), 377-383. 59. Weighted Hardy spaces and the Laplace transform II (with H. Heinig and R. Johnson), Math. Nachrichten (Triebel commemorative volume), 132 (1987), 29-55. 60. Fourier inequalities with A_p weights (with H. Heinig and R. Johnson), General Inequalities 5, Oberwolfach, (1986), ISNM 80 (1987), 217-232. 61. A quantitative maximum entropy theorem for the real line, Integral Equations and Operator Theory 10 (1987), 761-779. 62. Gabor representations and wavelets, AMS Contemporary Mathematics, 91 (1989), 9-27. 63. The Wiener-Plancherel formula in Euclidean space, (with G. Benke and W. Evans), Advances in Applied Math., 10 (1989), 457-487. 64. Uncertainty principle inequalities and spectrum estimation, NATO-ASI, in Fourier Analysis and its Applications 1989, J. Byrnes, editor, Kluwer Publishers, The Netherlands, Series C, 315 (1990), 143-182. 65. Irregular sampling and the theory of frames, I (with W. Heller), Mat. Note, 10, Suppl.n.1 (1990), 103-125. 66. Fourier transform norm inequalities for Beurling algebras, (with C. Karanikas), Rend. Sem. Mat., Roma, 11 (1991), 157-174. 67. The spherical Wiener-Plancherel formula and spectral estimation, SIAM Math. Analysis, 22 (1991), 1110-1130. 68. Fourier transform inequalities with measure weights II (with H. Heinig), Second International Conference on Function Spaces 1989, Poznan, Poland, Teubner Texte zur Mathematik series, 120 (1991), 140-151. 69. A multidimensional Wiener-Wintner theorem and spectrum estimation, Trans. AMS, 327 (1991), 833-852. 70. Stationary frames and spectral estimation, NATO-ASI, in Probabilistic and Stochastic Methods in Analysis, with Applications 1991, J. Byrnes, editor, Kluwer Publishers, The Netherlands, Series C, (1992), 117-161. 71. Uncertainty principles for time-frequency operators (with C. Heil and D. Walnut), Operator Theory: Advances and Applications, Birkhauser, 58 (1992), 1-25. 72. An auditory motivated time-scale signal representation (with A. Teolis), IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (1992), 49-52. 73. Fourier transform inequalities with measure weights(with H. Heinig), Advances in Math., 96 (1992), 194-225. 74. Irregular sampling and frames, in Wavelets - a Tutorial in Theory and Applications, C. Chui, editor, Academic Press, Boston, (1992), 445-507. 75. Frame decompositions, sampling, and uncertainty principle inequalities, in Wavelets: Mathematics and Applications, J. Benedetto and M. Frazier, editors, CRC Press, Boca Raton, FL, (1993), 247-304. 76. Gabor frames for L^2 and related spaces (with D. Walnut), in Wavelets: Mathematics and Applications, J. Benedetto and M. Frazier, editors, CRC Press, Boca Raton, FL (1993), 97-162. 77. Multiresolution analysis frames with applications (with S. Li), IEEE - ICASSP, III (1993), 304-307. 78. On frames and filter banks (with S. Li), The Johns Hopkins Conference on Information Sciences and Systems, (1993). 79. A wavelet auditory model and data compression (with A. Teolis), Applied and Computational Harmonic Analysis, 1(1993), 3-28. 80. Local frames (with A. Teolis), SPIE, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, 2034 (1993), 310-321. 81. Wavelets and sampling, in Wavelets and their Applications, SA-IEEE (1993), 1-37. 82. From a wavelet auditory model to definitions of the Fourier transform, NATO-ASI, in Wavelets and their Applications 1992, J. Byrnes, editor, Kluwer Publishers, The Netherlands, Series C, (1993). 83. Noise suppression using a wavelet model (with A. Teolis), IEEE - ICASSP (1994). 84. Subband coding for sigmoidal nonlinear operations (with S. Saliani), SPIE, Wavelet Applications, 2242 (1994),19-27. 85. Subband coding and noise reduction in multiresolution analysis frames (with S. Li), SPIE, Wavelet Applications in Signal and Image Processing II, 2303 (1994), 154-165. 86. The definition of the Fourier transform for weighted inequalities (with J. Lakey), J. of Functional Analysis, 120 (1994), 403-439. 87. Analysis and feature extraction of epileptiform EEG waveforms (with D. Colella, G. Jacyna, et al.), Fifth International Cleveland Clinic - Bethel Epilepsy Symposium, 1994, Poster. 88. Narrow band frame multiresolution analysis with perfect reconstruction (with Shidong Li), IEEE - SP International Symposium on Time-Frequency and Time-Scale Analysis, (1994), 36-39. 89. Pyramidal Riesz products associated with subband coding and self-similarity, with E. Bernstein, SPIE, Wavelet Applications for Dual Use, 2491 (1995), 212-221, invited. 90. Poisson's summation formula in the construction of wavelet bases, with G. Zimmermann, Proceedings of ICIAM, Hamburg, 1995, , invited. 91. Wavelet-based analysis of EEG signals for detection and localization of epileptic seizures (with G. Benke, M. Bozek-Kuzmicki, D. Colella, G. Jacyna), SPIE, Wavelet Applications for Dual Use, 2491 (1995), 760-769. 92. Differentiation and the Balian-Low theorem (with C. Heil and D. Walnut), J. of Fourier Analysis and Applications, 1 (1995), 355-402. 93. Wavelet analysis of spectrogram seizure chirps (with D. Colella), SPIE, Wavelet Applications in Signal and Image Processing III, 2569 (1995), 512-521, invited. 94. Local frames and noise reduction (with A. Teolis), Signal Processing, 45 (1995), 369-387. 95. Frame signal processing applied to biolectric data, in Wavelets in Biology and Medicine, A. Aldroubi and M. Unser, editors, CRC Press, Inc., Boca Raton, FL, 1996, Chapter 18, pages 467-486, invited. 96. Generalized harmonic analysis and Gabor and wavelet systems, AMS Proceedings of Symposia in Applied Mathematics, volume 52, Wiener Centenary Volume, 1997, pages 85-113, invited. 97. Sampling operators and the Poisson summation formula, (with G. Zimmermann), Journal of Fourier Analysis and Applications, 3 (1997), 505-523. 98. Wavelet detection of periodic behavior in EEG and ECoG data (with G. Pfander), Proceedings of 15th IMACS World Congress on Scientific Computation, Modelling, and Applied Mathematics, Berlin, 1 (1997) 75-80, invited. 99. Gabor systems and the Balian-Low Theorem (with C. Heil and D. Walnut), in Gabor Analysis and Algorithms, Theory and Applications, H. G. Feichtinger and T. Strohmer, editors, Birkhauser, Boston, 1998, pages 85-122, invited. 100. Noise reduction in terms of the theory of frames, in Signal and Image Representation in Combined Spaces, J. Zeevi and R. Coifman, editors, Academic Press, New York, 1998, pages 259-284, invited. 101. Self-similar pyramidal structures and signal reconstruction (with M. Leon and S. Saliani), SPIE, Wavelet Applications V, 3391 (1998), 304-314, invited. 102. The theory of multiresolution frames and applications to filter banks (with S. Li), Applied and Computational Harmonic Analysis, 5 (1998), 389-427. 103. Frames, sampling, and seizure prediction, in Advances in Wavelets, K.-S. Lau, editor, Springer-Verlag, New York, 1998, Chapter 1, pages 1-25, invited. 104. Wavelet periodicity detection algorithms (with G. Pfander), SPIE, Wavelet Applications in Signal and Image Processing VI, 3458 (1998), 48-55, invited. 105. A multidimensional irregular sampling algorithm and applications (with H.-C. Wu), IEEE - ICASSP, Phoenix, Special Session on Recent Advances in Sampling Theory and Applications, 4 (1999), 4 pages, invited. 106. The construction of multiple dyadic minimally supported frequency wavelets on R^d (with M. Leon), AMS Contemporary Math. Series, 247 (1999), 43-74. 107. A Beurling covering theorem and multidimensional irregular sampling (with H.-C. Wu), SampTA'99, Loen, Norway, 1999, pages 142 - 148, invited. 108. Frames, irregular sampling, and a wavelet auditory model, (with S. Scott), in Sampling Theory and Practice, F. Marvasti, editor, Plenum Publishers, 2000, invited. 109. Wavelet frames: multiresolution analysis and extension principles (with O. Treiber), in Wavelet Transforms and Time-Frequency Signal Analysis, L. Debnath, editor, Birkhauser, Boston, 2000, invited. 110. Ten books on wavelets, SIAM Review, 42 (2000), 127-138. (Although not a research paper, this is an extensive review I was asked to write of recent books on wavelet theory.) 111. Sampling theory and wavelets, NATO-ASI, in Signal Processing for Multimedia 1998, J. Byrnes, editor, Kluwer Publishers, The Netherlands, 2000, invited. 112. Non-uniform sampling theory and spiral MRI reconstruction (with H.-C. Wu), SPIE, Wavelet Applications in Signal and Image Processing VIII, 4119 (2000), invited. 113. The construction of single wavelets in d-dimensions (with M. Leon), J. Geometric Analysis, accepted. 114. The theory of local sampling (with N. Atreas and C. Karanikas), to be submitted. 115. Wavelet periodicity detection (with G. Pfander), to be submitted. 116. The Beurling-Landau theory of Fourier frames and applications (with H.-C. Wu), in preparation. 117. Generalized Riesz products and secure transmission (with E. Bernstein), in preparation. 118. Nonlinear wavelet packets (with S. Saliani), in preparation.