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Career Summary

Qualifications

  • PhD, University of New South Wales, 24/04/1990
  • Bachelor of Science, University of New South Wales, 29/04/1985

Research

Research keywords

  • Clifford analysis
  • signal processing
  • singular integrals
  • wavelets

Research expertise

Harmonic analysis:

wavelets; frames; singular integrals; Fourier analysis; signal processing; time-frequency analysis; Clifford analysis; uncertainty principles; fractional Fourier transforms; sampling; analysis on the Heisenberg group.

Languages

  • English

Fields of Research

CodeDescriptionPercentage
010106Lie Groups, Harmonic And Fourier Analysis75
010399Numerical And Computational Mathematics Not Elsewhere Classified15
010499Statistics Not Elsewhere Classified10

Teaching

Teaching keywords

  • Fourier analysis
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Highlighted Publications

For publications that are currently unpublished or in-press, details are shown in italics.

YearCitationAltmetricsLink
2005Gilbert JE, Hogan JA, Lakey JD, 'BMO, boundedness of affine operators, and frames', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18 3-24 (2005) [C1]
2009Hogan JA, Lakey J, 'Non-translation-invariance and the synchronization problem in wavelet sampling', Acta Applicandae Mathematicae, 107 373-398 (2009) [C1]
2002Gilbert JE, Han YS, Hogan JA, Lakey JD, Weiland D, Weiss G, Smooth Molecular Decompositions of Functions and Singular Integral Operators, American Mathematical Society, Newport, Rhode Island, 74 (2002) [A1]
2005Hogan JA, Lakey JD, Time-frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling, Birkhauser, Basel, Switzerland, 388 (2005) [A1]

Publications

For publications that are currently unpublished or in-press, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Book (3 outputs)

YearCitationAltmetricsLink
2012Hogan JA, Lakey JD, Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications, Birkhauser, New York, 258 (2012) [A1]
2005Hogan JA, Lakey JD, Time-frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling, Birkhauser, Basel, Switzerland, 388 (2005) [A1]
2002Gilbert JE, Han YS, Hogan JA, Lakey JD, Weiland D, Weiss G, Smooth Molecular Decompositions of Functions and Singular Integral Operators, American Mathematical Society, Newport, Rhode Island, 74 (2002) [A1]

Chapter (5 outputs)

YearCitationAltmetricsLink
2008Hogan J, Lakey JD, 'Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals', Representations, wavelets and frames : a celebration of the mathematical work of Lawrence Baggett, Springer, Berlin, Germany 275-292 (2008) [B1]
2008Hogan JA, Lakey JD, 'Periodic nonuniform sampling of bandlimited and multiband signals', Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W.Baggett, Springer, Boston 275-292 (2008) [B2]
2006Hogan J, Lakey JD, 'Periodic Nonuniform Sampling in Shift-Invariant Spaces', Harmonic Analysis and Applications : In Honor of John J. Benedetto, Birkhauser, Basel, Switzerland 253-286 (2006) [B1]
2001Hogan JA, Axelsson A, Grognard R, McIntosh A, 'Harmonic analysis of Dirac operators on bounded domains', Clifford analysis and its applications, Kluwer, Netherlands 231-246 (2001)
2001Hogan JA, Lakey JD, 'Embeddings and uncertainty principles for generalized modulation spaces', Modern Sampling Theory: Mathematics and Applications, Birkhauser, Boston 73-105 (2001)
Show 2 more

Journal article (19 outputs)

YearCitationAltmetricsLink
2014Ogburn DX, Waters CL, Sciffer MD, Hogan JA, Abbott PC, 'A finite difference construction of the spheroidal wave functions', Computer Physics Communications, 185 244-253 (2014) [C1]
2014Hogan JA, Lakey JD, 'Frame properties of shifts of prolate spheroidal wave functions', Applied and Computational Harmonic Analysis, (2014)
2013Craddock MJ, Hogan JA, 'The Fractional Clifford-Fourier Kernel', JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 19 683-711 (2013) [C1]
2013Hogan JA, Lakey JD, 'Letter to the Editor: On the Numerical Evaluation of Bandpass Prolates', Journal of Fourier Analysis and Applications, 19 439-446 (2013) [C1]
2012Lakey JD, Hogan JA, 'On the numerical computation of certain eigenfunctions of time and multiband limiting', Numerical Functional Analysis and Optimization, 33 1095-1111 (2012) [C1]
2012Hogan JA, Morris AJ, 'Quaternionic wavelets', Numerical Functional Analysis and Optimization, 33 1031-1062 (2012) [C1]
2010Hogan JA, Izu S, Lakey JD, 'Sampling approximations for time- and bandlimiting', Sampling Theory in Signal and Image Processing, 9 91-117 (2010) [C1]
2009Hogan JA, Lakey J, 'Non-translation-invariance and the synchronization problem in wavelet sampling', Acta Applicandae Mathematicae, 107 373-398 (2009) [C1]
2007Hogan J, 'Frame-based non uniform sampling in paley-wiener spaces', Journal of Applied Functional Analysis, 2 361-400 (2007) [C1]
2006Hogan JA, Lakey JD, 'On uncertainty bounds and growth estimates for fractional fourier transforms', Applicable Analysis: an international journal, 85 891-899 (2006) [C1]
2006Hogan JA, Lakey JD, 'Hardy's theorem and rotations', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 1459-1466 (2006) [C1]
2005Hogan JA, Lakey JD, 'Sampling and oversampling in shift-invariant and multiresolution spaces 1: Validation of sampling schemes', INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 3 257-281 (2005) [C1]
2005Gilbert JE, Hogan JA, Lakey JD, 'BMO, boundedness of affine operators, and frames', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18 3-24 (2005) [C1]
2000Gilbert JE, Hogan JA, Lakey JD, 'Characterization of Hardy spaces by singular integrals and 'divergence-free' wavelets', PACIFIC JOURNAL OF MATHEMATICS, 193 79-105 (2000)
2000Hogan JA, Li C, McIntosh A, Zhang K, 'Global Higher Integrability of Jacobians on Bounded Domains', Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 17 193-218 (2000)
1997Hogan JA, Gilbert JE, Lakey JD, 'Atomic decomposition of divergence-free Hardy spaces', Mathematics Moravica, Special Volume 33-52 (1997)
1995HOGAN JA, LAKEY JD, 'EXTENSIONS OF THE HEISENBERG-GROUP BY DILATIONS AND FRAMES', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2 174-199 (1995)
1993HOGAN JA, 'A QUALITATIVE UNCERTAINTY PRINCIPLE FOR UNIMODULAR GROUPS OF TYPE-I', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 340 587-594 (1993)
1988Hogan JA, 'Weighted norm inequalities for the Fourier transform on connected locally compact groups', Pacific Journal of Mathematics, 131 277-290 (1988)
Show 16 more

Conference (10 outputs)

YearCitationAltmetricsLink
2013Hogan JA, Lakey JD, 'Sampling aspects of approximately time-limited multiband and bandpass signals', Proceedings of the 10th International Conference on Sampling Theory and Applications (SampTA 2013), Bremen, Germany (2013) [E1]
2012Hogan JA, Morris AJ, 'Translation-invariant Clifford operators', Centre for Mathematics and its Applications, Macquarie University (2012) [E3]
2005Hogan J, Lakey JD, 'Non-Translation-Invariance in Principal Shift-Invariant Spaces', Advances in analysis : proceedings of the 4th International ISAAC Congress, York University, Toronto, Canada (2005) [E1]
2001Hogan JA, Lakey JD, 'Sampling and aliasing without translation-invariance', Proceedings of the 2001 International Conference on Sampling Theory and Applications, Orlando, Florida (2001)
2000Hogan JA, Lakey J, 'Sampling for shift-invariant and wavelet subspaces', WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VIII PTS 1 AND 2, SAN DIEGO, CA (2000)
1999Hogan JA, Lakey JD, 'Sharp embeddings for modulation spaces and the Poisson summation formula', Proceedings of the 1999 International Workshop on Sampling Theory and Applications, Loen, Norway (1999)
1997Hogan JA, Lakey JD, Gilbert JE, 'Wavelet subspaces for sampling and extrapolation', Proceedings of SAMPTA, Aveiro, Portugal (1997)
1996Croft MJ, Hogan JA, 'Wavelet-based signal extrapolation', ISSPA 96 - FOURTH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, PROCEEDINGS, VOLS 1 AND 2, GOLD COAST, AUSTRALIA (1996)
1996Gilbert JE, Hogan JA, Lakey JD, 'Frame decompositions of form-valued Hardy spaces', CLIFFORD ALGEBRAS IN ANALYSIS AND RELATED TOPICS, UNIV ARKANSAS, FAYETTEVILLE, AR (1996)
1988Hogan JA, 'A qualitative uncertainty principle for locally compact abelian groups', Proceedings of the Centre for Mathematical Analysis, Australian National University, Australian National University (1988)
Show 7 more
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Grants and Funding

Summary

Number of grants2
Total funding$4,000

- Indicates that the researcher may be seeking students for this project.

Click on a grant title below to expand the full details for that specific grant.

2014 (1 grants)

Faculty PVC Conference Assistance Grant 2014$2,000
Funding Body: University of Newcastle - Faculty of Science & IT

Project Team
Doctor Jeffrey Hogan
SchemeRole
PVC Conference Assistance GrantChief Investigator
Total AmountFunding StartFunding Finish
$2,00020142014
GNo:G1401195

2013 (1 grants)

Faculty PVC Conference Assistance Grant 2013$2,000
Funding Body: University of Newcastle - Faculty of Science & IT

Project Team
Doctor Jeffrey Hogan
SchemeRole
PVC Conference Assistance GrantChief Investigator
Total AmountFunding StartFunding Finish
$2,00020132013
GNo:G1401161
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Research Supervision

Number of current supervisions2
Total current UoN PhD EFTSL1.2

For supervisions undertaken at an institution other that the University of Newcastle, the institution name is listed below the program name.

Current Supervision

CommencedProposed
Completion
ProgramSupervisor TypeResearch Title
20142018PhD (Mathematics)Co-SupervisorClassification of Simple Totally Disconnected Groups.
20142018PhD (Mathematics)Principal SupervisorApplication of Clifford Analysis to Image Processing and Optics

Past Supervision

YearProgramSupervisor TypeResearch Title
2014PhD (Mathematics)Principal SupervisorFourier and Wavelet Analysis of Clifford-Valued Functions
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Dr Jeffrey Hogan

Work Phone(02) 4921 7235
Fax(02) 4921 6898
Email
PositionSenior Lecturer
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology
The University of Newcastle, Australia
Focus AreaMathematics
Office
V128,
Mathematics,
Callaghan
University Drive
Callaghan NSW 2308
Australia
URL:www.newcastle.edu.au/profile/jeff-hogan