Selected papers
Signals & Waves
3803 Tonkawa Trail #2, Austin, TX, USA
email: kaiser(at)wavelets(dot)com

Notice: The material on these web pages is intended as a scientific resource for the private use of individual scholars.

None of it may be used commercially, or for financial gain. Some of the material is protected by copyright.

Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher or from Gerald Kaiser, as appropriate.

• Huygens’ Principle for Complex Spheres (with Thorkild Hansen). Preprint submitted to IEEE Transactions in Antennas & Propagation, July 2010
  
  
• Huygens' principle in classical electrodynamics: a distributional approach, Preprint, 2009
  
  
• Generalized Huygens principle with pulsed-beam wavelets  (with Thorkild Hansen), J. Phys. A: Math. Theor. 42 (2009) 475403
  
  
• The Inverse Source Problem for Wavelet Fields (with A J Devaney, A Marengo, R Albanese, and G Erdmann). IEEE TRANS. ANTENNAS AND PROPAGATION, Vol. 56 No. 10, 2008
  
  
• Extended wave propagators as pulsed-beam communication channels. Plenary lecture, Days on Diffraction, St. Petersburg, Russia, May 30-June 2, 2006
  
  
• Analytic Pulsed-Beam Communication Channels. PIERS 2006, Cambridge, MA, March 26-29, 2006
  
  
• Pulsed-Beam Wavelets and Wave Equations. IMA Workshop on Imaging from Wave Propagation, Minneapolis, MN, October 17-21, 2005
  
  
• Making electromagnetic wavelets II: Spheroidal shell antennas. J. Phys. A: Math. Gen. 38 (2005) 495 - 508
  
  
• Eigenwavelets of the Wave equation. In Harmonic Analysis, Signal Processing, and Complexity, I. Sabadini, D.C. Struppa and D.F. Walnut, editors, Birkhauser, 2005, pages 121 - 134
  
  
• Distributional sources for Newman's holomorphic Coulomb fields. J. Phys. A: Math. Gen. 37 (2004) 8735 - 8745
  
  
• Making electromagnetic wavelets. J. Phys. A: Math. Gen. 37 (2004) 5929 - 5947
  
  
• Energy-momentum conservation in pre-metric electrodynamics with magnetic charges. J. Phys. A: Math. Gen. 37 (2004) 7163 - 7168
  
  
• Helicity, polarization, and Riemann-Silberstein vortices. J. Opt. A: Pure Appl. Opt. 6 (2004) S243 - S245
  
  
• Physical wavelets and their sources: Real physics in complex spacetime. Topical Review, Journal of Physics A: Mathematical and General Vol. 36, Nr. 30, R291 - R338, 2003
  
  
• Complex-distance potential theory, wave equations, and physical wavelets (PDF, 1.2MB). Invited paper, Special Issue on Clifford Analysis in Applications, F. Sommen and W. Sproessig, Editors. Mathematical Methods in the Applied Sciences 25:1577 - 1588, 2002
  
  
• Communications via holomorphic Green functions. In Clifford Analysis and its Applications, edited by F. Brackx, J.S.R. Chisholm and V. Soucek, Kluwer NATO Science Series, 2001
  
  
• Complex-distance potential theory and hyperbolic equations, in Clifford Algebras and their Applications in Mathematical Physics, Volume 2: Clifford Analysis J. Ryan and W. Sproessig (Editors), Birkhauser-Boston, 2000
  
  
• Physical source realization of complex-source pulsed beams (PDF, 376K) (with E. Heyman and V. Lomakin). Journal of the Acoustical Society of America, Vol. 107, pp. 1880 - 1891, 2000
  
  
• Highly focused pulsed-beam wavelets, Radar Processing, Technology, and Applications IV, SPIE Conference Proceedings #3810, Denver, CO, July 21 - 22, 1999
  
  
• Directed electromagnetic wavelets, in Intense Microwave Pulses VI, SPIE Conference Proceedings #3702, Orlando, FL, April, 1999.
  
  
• New results on pulsed-beam wavelets, invited paper, in Wavelet Applications VI, SPIE Conference Proceedings #3723, Orlando, FL, April, 1999.
  
  
• Electromagnetic pulsed-beam wavelets for radar, Invited paper, 28th European Microwave Conference, Amsterdam, October 5 - 9, Miller Freeman, 1998.
  
  
• Wavelet analysis as a wideband generalization of time-frequency analysis, Invited paper, 136th Meeting of the Acoustical Society of America, JASA Vol. 104 #3, September 1998.
  
  
• The fast Haar transform: Gateway to wavelets, IEEE Potentials Magazine, April/May, 1998.
  
  
• Recovery of Kolmogorov statistics in thermal mixing in the troposphere: The hazards of real data (with L. Rossi and D. Washburn), in Airborne Laser Advanced Technology, SPIE Conference Proceedings #3381, Orlando, FL, April, 1998.
  
  
• Short-pulse radar via electromagnetic wavelets (PDF, 100K), in Ultra-Wideband, Short-Pulse Electromagnetics 3, C E Baum, L Carin and A P Stone, eds., Plenum Press, 1997.
  
  
• Scale filtering in the wavelet domain, in Proceedings of the 30th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November, 1996.
  
  
• Wavelet filtering in the scale domain, in Wavelet Applications in Signal and Image Processing, IEEE Conference Proceedings #2825, Denver, CO, August, 1996.
  
  
• Wavelet filtering in the scale domain, invited paper, in Wavelet Applications III, SPIE Conference Proceedings #2762, Orlando, FL, April, 1996.
  
  
• Wavelet filtering with the Mellin transform, in Applied Mathematics Letters 9 #5, 69 - 74, 1996.
  
  
• Physical wavelets and radar (PDF, 408K), IEEE Antennas and Propagation Magazine, February, 1996.
  
  
• A variational approach to radar signal analysis, invited paper, in Proceedings of the 29-th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, October, 1995.
  
  
• Physical wavelets and ambiguity functionals: A new tool for radar, invited paper given at the Progress in Electromagnetics Research Conference (PIERS), Seattle, WA, July, 1995.
  
  
• Remote sensing with electromagnetic and acoustic wavelets: A variational approach, invited paper, in Wavelet Applications for Dual Use, SPIE Conference Proceedings #2491, Orlando, FL, April, 1995.
  
  
• Wavelet electrodynamics, part II: Atomic composition of electromagnetic waves, in Applied and Computational Harmonic Analysis 1, 246 - 260, 1994.
  
  
• Deformations of Gabor frames, in Journal of Mathematical Physics 35, 1172 - 1376, 1994.
  
  
• Wavelet electrodynamics, in Wavelet Analysis and Applications, Y. Meyer and S. Roques, eds., Editions Frontieres, Paris, 1993.
  
  
• Space-time-scale analysis of electromagnetic waves, in Proceedings of IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis Victoria, Canada, 1992.
  
  
• Wavelet electrodynamics I, in Physics Letters A 168 28 - 34, 1992.
  
  
• Windowed Radon transforms, analytic signals, and the wave equation (with R. F. Streater), in Wavelets: A Tutorial in Theory and Applications, edited by C.K. Chui, Academic Press, New York, pp. 399 - 441, 1992.
  
  
• An algebraic theory of wavelets I. Operational calculus and complex structure (PDF, 368K), in SIAM Journal of Mathematical Analysis 23, 222 - 243, 1992.
  
  
• Generalized Wavelet Transforms II: The Multivariate Analytic-Signal Transform (PDF, 320K), Technical Report #19, University of Lowell Department of Mathematical Sciences, 1990.
  
  
• Generalized Wavelet Transforms I: The Windowed X-Ray Transform (PDF, 280K), Technical Report #18, University of Lowell Department of Mathematical Sciences, 1990.
  
  
• Quantized fields in complex spacetime (PDF, 416K) Annals of Physics 173, 338 - 354, 1987.
  
  
• A sampling theorem in the joint time-frequency domain (unpublished) (PDF, 88K)
  
  
• Phase-space approach to relativistic quantum mechanics III: Quantization, relativity, localization and gauge freedom (PDF, 572K). J. Math. Phys. 22, 705 - 714, 1981.
  
  
• Holomorphic gauge theory, in Geometric Methods in Mathematical Physics, G. Kaiser and J.E. Marsden, eds., Lecture Notes in Mathematics # 775, Springer-Verlag, New York, 1980.
  
  
• Local Fourier analysis and synthesis, with applications (PDF, 144K), unpublished. NSF Proposal #MCS-7822673, 1978.
  
  
• Phase-space approach to relativistic quantum mechanics II: Geometrical aspects (PDF, 296K). J. Math. Phys. 19, 502 - 507, 1978.
  
  
• Phase-space approach to relativistic quantum mechanics I: Coherent-state representations for massive scalar particles (PDF, 384K). J. Math. Phys. 18, 952 - 959, 1977.
  
  
• Relativistic coherent-state representations, Conference on Group-Theoretical Methods in Physics, Montreal, 1976 (PDF, 124K). In Group-Theoretical Methods in Physics, R. Sharp and B. Coleman, eds., Academic Press, NY, 1977.
  
  
• Coherent states and asymptotic representations, Third International Colloquium on Group-Theoretical Methods in Physics, Marseille, 1974.

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