Profile Image

Dr Jeffrey Hogan

Senior Lecturer

School of Mathematical and Physical Sciences (Mathematics)

Career Summary

Biography

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.


Qualifications

  • PhD, University of New South Wales
  • Bachelor of Science, University of New South Wales

Keywords

  • Clifford analysis
  • Fourier analysis
  • signal processing
  • singular integrals
  • wavelets

Fields of Research

CodeDescriptionPercentage
010106Lie Groups, Harmonic and Fourier Analysis75
010399Numerical and Computational Mathematics not elsewhere classified15
010499Statistics not elsewhere classified10

Professional Experience

UON Appointment

DatesTitleOrganisation / Department
1/01/2014 - Senior LecturerUniversity of Newcastle
School of Mathematical and Physical Sciences
Australia

Academic appointment

DatesTitleOrganisation / Department
1/07/2006 - 1/12/2008Associate ProfessorUniversity of Arkansas
Department of Mathematical Sciences
United States
1/08/2000 - 1/07/2006Assistant ProfessorUniversity of Arkansas
Department of Mathematical Sciences
United States
1/09/1991 - 1/06/1993Research AssociateFlinders University
Australia
1/08/1989 - 1/08/1991LecturerUniversity of Texas At Austin
Department of Mathematics
United States
1/03/1985 - 1/07/1989TutorThe University of New South Wales
School of Mathematical Sciences
Australia
Edit

Publications

For publications that are currently unpublished or in-press, details are shown in italics.


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, Lakey JD, 'Embeddings and uncertainty principles for generalized modulation spaces', Modern Sampling Theory: Mathematics and Applications, Birkhauser, Boston 73-105 (2001)
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)
Show 2 more chapters

Journal article (21 outputs)

YearCitationAltmetricsLink
2015Hogan JA, Lakey JD, 'Frame properties of shifts of prolate spheroidal wave functions', Applied and Computational Harmonic Analysis, 39 21-32 (2015)
DOI10.1016/j.acha.2014.08.003
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]
DOI10.1016/j.cpc.2013.07.024Author URL
CitationsScopus - 2Web of Science - 1
Co-authorsColin Waters, Murray Sciffer
2014Hogan JA, Lakey JD, 'Frame properties of shifts of prolate spheroidal wave functions', Applied and Computational Harmonic Analysis, (2014)
DOI10.1016/j.acha.2014.08.003
2014Hogan JA, Kroger J, Lakey JD, 'Time and bandpass limiting and an application to EEG', Sampling Theory in Signal and Image Processing, 13 295-313 (2014) [C1]
2013Craddock MJ, Hogan JA, 'The Fractional Clifford-Fourier Kernel', JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 19 683-711 (2013) [C1]
DOI10.1007/s00041-013-9274-5Author URL
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]
DOI10.1007/s00041-012-9257-y
CitationsScopus - 1
2012Hogan JA, Morris AJ, 'Quaternionic wavelets', Numerical Functional Analysis and Optimization, 33 1031-1062 (2012) [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]
DOI10.1080/01630563.2012.682133
2010Hogan JA, Izu S, Lakey JD, 'Sampling approximations for time- and bandlimiting', Sampling Theory in Signal and Image Processing, 9 91-117 (2010) [C1]
CitationsScopus - 3
2009Hogan JA, Lakey J, 'Non-translation-invariance and the synchronization problem in wavelet sampling', Acta Applicandae Mathematicae, 107 373-398 (2009) [C1]
DOI10.1007/s10440-009-9480-y
CitationsScopus - 7Web of Science - 6
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, 'Hardy's theorem and rotations', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 1459-1466 (2006) [C1]
DOI10.1090/S0002-9939-05-08098-6Author URL
CitationsScopus - 2Web of Science - 3
2006Hogan JA, Lakey JD, 'On uncertainty bounds and growth estimates for fractional fourier transforms', Applicable Analysis: an international journal, 85 891-899 (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]
DOI10.1142/S0219691305000798Author URL
CitationsWeb of Science - 4
2005Gilbert JE, Hogan JA, Lakey JD, 'BMO, boundedness of affine operators, and frames', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18 3-24 (2005) [C1]
DOI10.1016/j.acha.2004.05.005Author URL
CitationsScopus - 3Web of Science - 5
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)
Author URL
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)
DOI10.1006/acha.1995.1013Author URL
CitationsScopus - 11Web of Science - 10
1993HOGAN JA, 'A QUALITATIVE UNCERTAINTY PRINCIPLE FOR UNIMODULAR GROUPS OF TYPE-I', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 340 587-594 (1993)
DOI10.2307/2154667Author URL
CitationsWeb of Science - 9
1988Hogan JA, 'Weighted norm inequalities for the Fourier transform on connected locally compact groups', Pacific Journal of Mathematics, 131 277-290 (1988)
Show 18 more journal articles

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)
DOI10.1117/12.408622Author URL
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)
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)
Author URL
CitationsWeb of Science - 2
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)
Author URL
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 conferences
Edit

Grants and Funding

Summary

Number of grants2
Total funding$4,000

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


20141 grants / $2,000

Faculty PVC Conference Assistance Grant 2014$2,000

Funding body: University of Newcastle - Faculty of Science & IT

Funding bodyUniversity of Newcastle - Faculty of Science & IT
Project TeamDoctor Jeffrey Hogan
SchemePVC Conference Assistance Grant
RoleLead
Funding Start2014
Funding Finish2014
GNoG1401195
Type Of FundingInternal
CategoryINTE
UONY

20131 grants / $2,000

Faculty PVC Conference Assistance Grant 2013$2,000

Funding body: University of Newcastle - Faculty of Science & IT

Funding bodyUniversity of Newcastle - Faculty of Science & IT
Project TeamDoctor Jeffrey Hogan
SchemePVC Conference Assistance Grant
RoleLead
Funding Start2013
Funding Finish2013
GNoG1401161
Type Of FundingInternal
CategoryINTE
UONY
Edit

Research Supervision

Current Supervision

CommencedResearch Title / Program / Supervisor Type
2014Quaternionic Fourier Transforms in Colour Image Analysis
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2014Poisson Boundaries and Random Walks on Totally Disconnected Groups
Mathematics, Faculty of Science and Information Technology
Co-Supervisor

Past Supervision

YearResearch Title / Program / Supervisor Type
2014Fourier and Wavelet Analysis of Clifford-Valued Functions
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
Edit

Dr Jeffrey Hogan

Position

Senior Lecturer
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology

Focus area

Mathematics

Contact Details

Emailjeff.hogan@newcastle.edu.au
Phone(02) 4921 7235
Fax(02) 4921 6898

Office

RoomV128
BuildingMathematics
LocationCallaghan
University Drive
Callaghan, NSW 2308
Australia
Edit