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

Code Description Percentage
010106 Lie Groups, Harmonic and Fourier Analysis 75
010399 Numerical and Computational Mathematics not elsewhere classified 15
010499 Statistics not elsewhere classified 10

Professional Experience

UON Appointment

Title Organisation / Department
Senior Lecturer University of Newcastle
School of Mathematical and Physical Sciences
Australia

Academic appointment

Dates Title Organisation / Department
1/07/2006 - 1/12/2008 Associate Professor University of Arkansas
Department of Mathematical Sciences
United States
1/08/2000 - 1/07/2006 Assistant Professor University of Arkansas
Department of Mathematical Sciences
United States
1/09/1991 - 1/06/1993 Research Associate Flinders University
Australia
1/08/1989 - 1/08/1991 Lecturer University of Texas At Austin
Department of Mathematics
United States
1/03/1985 - 1/07/1989 Tutor The 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For publications that are currently unpublished or in-press, details are shown in italics.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 (5 outputs)

Year Citation Altmetrics Link
2012 Hogan JA, Lakey JD, Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications, Birkhauser, New York, 258 (2012) [A1]
2012 Duong X, AMSI International Conference on Harmonic Analysis and Applications (Macquarie University, February 2011), Centre for Mathematics and its Applications, Canberra, 147 (2012)
2012 Duong X, AMSI International Conference on Harmonic Analysis and Applications (Macquarie University, February 2011), Centre for Mathematics and its Applications, Canberra, 147 (2012)
2005 Hogan JA, Lakey JD, Time-frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling, Birkhauser, Basel, Switzerland, 388 (2005) [A1]
2002 Gilbert 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]
Show 2 more books

Chapter (7 outputs)

Year Citation Altmetrics Link
2012 Hogan JA, Morris AJ, 'Translation-invariant Clifford operators', , Australian National University 48 (2012) [E3]
2008 Hogan 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]
2006 Hogan 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]
2005 Hogan J, Lakey JD, 'Non-Translation-Invariance in Principal Shift-Invariant Spaces', , World Scientific Publishing, Hackensack, New Jersey, USA 471-485 (2005) [E1]
2001 Hogan JA, Lakey JD, 'Embeddings and uncertainty principles for generalized modulation spaces', Modern Sampling Theory: Mathematics and Applications, Birkhauser, Boston 73-105 (2001)
2001 Hogan 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)
1998 Hogan JA, Lakey JD, Gilbert JE, 'Fourier and wavelet characterizations of massless Hardy spaces', Dirac operators in analysis, Addison Wesley Longman, Harlow, Essex, UK 25-40 (1998)
Show 4 more chapters

Journal article (22 outputs)

Year Citation Altmetrics Link
2016 Hogan JA, Lakey JD, 'On the Numerical Evaluation of Bandpass Prolates II', Journal of Fourier Analysis and Applications, 1-16 (2016)

© 2016 Springer Science+Business Media New YorkWe provide a technique for numerical evaluation of certain eigenfunctions of the integral kernel operator corresponding to time tru... [more]

© 2016 Springer Science+Business Media New YorkWe provide a technique for numerical evaluation of certain eigenfunctions of the integral kernel operator corresponding to time truncation of a square-integrable function on the real line to a finite interval, followed by frequency limiting to frequencies in an annular band. When the width of the annulus is small relative to the mean radius of the annulus the method is more accurate than one previously suggested by the authors.

DOI 10.1007/s00041-016-9465-y
2015 Hogan JA, Lakey JD, 'Frame properties of shifts of prolate spheroidal wave functions', Applied and Computational Harmonic Analysis, 39 21-32 (2015) [C1]
DOI 10.1016/j.acha.2014.08.003
Citations Scopus - 2
2014 Ogburn 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]
DOI 10.1016/j.cpc.2013.07.024
Citations Scopus - 4Web of Science - 2
Co-authors Colin Waters, Murray Sciffer
2014 Hogan 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]
Citations Scopus - 2
2013 Craddock MJ, Hogan JA, 'The Fractional Clifford-Fourier Kernel', JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 19 683-711 (2013) [C1]
DOI 10.1007/s00041-013-9274-5
2013 Hogan 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]
DOI 10.1007/s00041-012-9257-y
Citations Scopus - 1
2012 Hogan JA, Morris AJ, 'Quaternionic wavelets', Numerical Functional Analysis and Optimization, 33 1031-1062 (2012) [C1]
Citations Scopus - 1
2012 Lakey 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]
DOI 10.1080/01630563.2012.682133
2010 Hogan JA, Izu S, Lakey JD, 'Sampling approximations for time- and bandlimiting', Sampling Theory in Signal and Image Processing, 9 91-117 (2010) [C1]
Citations Scopus - 4
2009 Hogan JA, Lakey J, 'Non-translation-invariance and the synchronization problem in wavelet sampling', Acta Applicandae Mathematicae, 107 373-398 (2009) [C1]
DOI 10.1007/s10440-009-9480-y
Citations Scopus - 8Web of Science - 6
2007 Hogan J, 'Frame-based non uniform sampling in paley-wiener spaces', Journal of Applied Functional Analysis, 2 361-400 (2007) [C1]
2006 Hogan JA, Lakey JD, 'Hardy's theorem and rotations', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 1459-1466 (2006) [C1]
DOI 10.1090/S0002-9939-05-08098-6
Citations Scopus - 2Web of Science - 3
2006 Hogan JA, Lakey JD, 'On uncertainty bounds and growth estimates for fractional fourier transforms', Applicable Analysis: an international journal, 85 891-899 (2006) [C1]
2005 Hogan 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]
DOI 10.1142/S0219691305000798
Citations Web of Science - 4
2005 Gilbert JE, Hogan JA, Lakey JD, 'BMO, boundedness of affine operators, and frames', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18 3-24 (2005) [C1]
DOI 10.1016/j.acha.2004.05.005
Citations Scopus - 3Web of Science - 5
2001 Kirkup H, Pitman AJ, Hogan J, Brierley G, 'An Initial Analysis of River Discharge and Rainfall in Coastal New South Wales, Australia Using Wavelet Transforms', Australian Geographical Studies, 39 313-334 (2001)
DOI 10.1111/1467-8470.00149
2000 Gilbert JE, Hogan JA, Lakey JD, 'Characterization of Hardy spaces by singular integrals and 'divergence-free' wavelets', PACIFIC JOURNAL OF MATHEMATICS, 193 79-105 (2000)
2000 Hogan 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)
1997 Hogan JA, Gilbert JE, Lakey JD, 'Atomic decomposition of divergence-free Hardy spaces', Mathematics Moravica, Special Volume 33-52 (1997)
1995 HOGAN JA, LAKEY JD, 'EXTENSIONS OF THE HEISENBERG-GROUP BY DILATIONS AND FRAMES', APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2 174-199 (1995)
DOI 10.1006/acha.1995.1013
Citations Scopus - 12Web of Science - 11
1993 HOGAN JA, 'A QUALITATIVE UNCERTAINTY PRINCIPLE FOR UNIMODULAR GROUPS OF TYPE-I', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 340 587-594 (1993)
DOI 10.2307/2154667
Citations Scopus - 12Web of Science - 9
1988 Hogan JA, 'Weighted norm inequalities for the Fourier transform on connected locally compact groups', Pacific Journal of Mathematics, 131 277-290 (1988)
Show 19 more journal articles

Conference (10 outputs)

Year Citation Altmetrics Link
2015 Hogan JA, Lakey JD, 'Prolate shift frames and their duals', 2015 International Conference on Sampling Theory and Applications, SampTA 2015 (2015) [E1]
DOI 10.1109/SAMPTA.2015.7148862
2015 Hogan JA, Lakey JD, 'Wavelet frames generated by bandpass prolate functions', 2015 International Conference on Sampling Theory and Applications, SampTA 2015 (2015) [E1]

© 2015 IEEE.We refer to eigenfunctions of the kernel corresponding to truncation in a time interval followed by truncation in a frequency band as bandpass prelates (BPPs). We pro... [more]

© 2015 IEEE.We refer to eigenfunctions of the kernel corresponding to truncation in a time interval followed by truncation in a frequency band as bandpass prelates (BPPs). We prove frame bounds for certain families of shifts of bandpass prolates, and we numerically construct dual frames for finite dimensional analogues. In the continuous case, the corresponding families produce wavelet frames for the space of square-integrable functions.

DOI 10.1109/SAMPTA.2015.7148863
Citations Scopus - 1
2013 Hogan 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) (2013) [E1]
2001 Hogan JA, Lakey JD, 'Sampling and aliasing without translation-invariance', Proceedings of the 2001 International Conference on Sampling Theory and Applications (2001)
2000 Hogan JA, Lakey J, 'Sampling for shift-invariant and wavelet subspaces', WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VIII PTS 1 AND 2 (2000)
DOI 10.1117/12.408622
1999 Hogan JA, Lakey JD, 'Sharp embeddings for modulation spaces and the Poisson summation formula', Proceedings of the 1999 International Workshop on Sampling Theory and Applications (1999)
1997 Hogan JA, Lakey JD, Gilbert JE, 'Wavelet subspaces for sampling and extrapolation', Proceedings of SAMPTA (1997)
1996 Gilbert JE, Hogan JA, Lakey JD, 'Frame decompositions of form-valued Hardy spaces', CLIFFORD ALGEBRAS IN ANALYSIS AND RELATED TOPICS (1996)
Citations Web of Science - 2
1996 Croft MJ, Hogan JA, 'Wavelet-based signal extrapolation', ISSPA 96 - FOURTH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, PROCEEDINGS, VOLS 1 AND 2 (1996)
1988 Hogan JA, 'A qualitative uncertainty principle for locally compact abelian groups', Proceedings of the Centre for Mathematical Analysis, Australian National University (1988)
Show 7 more conferences
Edit

Grants and Funding

Summary

Number of grants 4
Total funding $573,979

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


20161 grants / $564,979

Relaxed reflection methods for feasibility and matrix completion problems$564,979

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Laureate Professor Jon Borwein, Doctor Jeffrey Hogan, Associate Professor Russell Luke
Scheme Discovery Projects
Role Investigator
Funding Start 2016
Funding Finish 2018
GNo G1500027
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20141 grants / $2,000

Faculty PVC Conference Assistance Grant 2014$2,000

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

Funding body University of Newcastle - Faculty of Science & IT
Project Team Doctor Jeffrey Hogan
Scheme PVC Conference Assistance Grant
Role Lead
Funding Start 2014
Funding Finish 2014
GNo G1401195
Type Of Funding Internal
Category INTE
UON Y

20131 grants / $2,000

Faculty PVC Conference Assistance Grant 2013$2,000

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

Funding body University of Newcastle - Faculty of Science & IT
Project Team Doctor Jeffrey Hogan
Scheme PVC Conference Assistance Grant
Role Lead
Funding Start 2013
Funding Finish 2013
GNo G1401161
Type Of Funding Internal
Category INTE
UON Y

20101 grants / $5,000

Hypercomplex Signal Processing$5,000

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Doctor Jeffrey Hogan
Scheme New Staff Grant
Role Lead
Funding Start 2010
Funding Finish 2010
GNo G1000074
Type Of Funding Internal
Category INTE
UON Y
Edit

Research Supervision

Number of supervisions

Completed1
Current2

Total current UON EFTSL

PhD1.2

Current Supervision

Commenced Level of Study Research Title / Program / Supervisor Type
2014 PhD Quaternionic Fourier Transforms in Colour Image Analysis
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Principal Supervisor
2014 PhD Poisson Boundaries and Random Walks on Totally Disconnected Groups
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Co-Supervisor

Past Supervision

Year Level of Study Research Title / Program / Supervisor Type
2014 PhD Fourier and Wavelet Analysis of Clifford-Valued Functions
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Principal Supervisor
Edit

News

PhD opportunity

PhD Scholarship - Optimization/Functional Analysis/Operator Theory/Harmonic Analysis

February 3, 2016

A PhD scholarship is available for a student to work on the ARC 2016 Discovery Project Relaxed Reflection Methods for feasibility and matrix completion problems under the supervision of Laureate Professor Jon Borwein and Dr Jeff Hogan.

Australian Research Council (ARC)

ARC Discovery Projects funding success

November 4, 2015

Laureate Professor Jon Borwein, Dr Jeffrey Hogan and Professor Dr Russell Luke have been awarded more than $560,000 in ARC Discovery Project funding commencing in 2016 for their research project Relaxed reflection methods for feasibility and matrix completion problems.

Dr Jeffrey Hogan

Position

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

Focus area

Mathematics

Contact Details

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

Office

Room V128
Building Mathematics
Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
Edit