Mathematical Analysis and Transform Methods
Mathematical Analysis and Transform Methods is a research topic within Applied Mathematics. Science Explorer counts 16k research works in it since 1950. 15.9% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores advances in the analysis and applications of the Fractional Fourier Transform, including topics such as frames, wavelets, sampling, signal processing, shearlets, modulation spaces, Gabor frames, uncertainty principles, Dunkl transform, and spectral measures.
- Frames
- Wavelets
- Sampling
- Signal Processing
- Shearlets
- Modulation Spaces
- Gabor Frames
- Uncertainty Principles
- Dunkl Transform
- Spectral Measures
- Research works
- 16k fractional, since 1950
- In the world top 10%
- 2.6k per year above
- Top-10% rate
- 15.9% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -5% the tick is no change
Which countries lead Mathematical Analysis and Transform Methods research?
By volume, China and India publish the most (424 and 248 works in 2022–2025).
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Mathematical Analysis and Transform Methods research?
By volume in 2022–2025, University of Hassan II Casablanca publishes the most Mathematical Analysis and Transform Methods research, followed by University of Vienna and St Petersburg University.
By volume, 2022–2025
- 1 University of Hassan II Casablanca Morocco 25 works
- 2 University of Vienna Austria 19 works
- 3 St Petersburg University Russia 16 works
- 4 University of Delhi India 16 works
- 5 Ghent University Belgium 14 works
- 6 Beijing Institute of Technology China 14 works
- 7 Banaras Hindu University India 14 works
- 8 Indian Institute of Technology Dhanbad India 13 works
- 9 Université Ibn-Tofail Morocco 13 works
- 10 University of Kashmir India 13 works
Who are the leading researchers in Mathematical Analysis and Transform Methods?
The most-cited researchers publishing on Mathematical Analysis and Transform Methods include David L. Donoho, Richard G. Baraniuk and Yonina C. Eldar.
- 1 David L. Donoho 4.7k citations
- 2 Richard G. Baraniuk 4.4k citations
- 3 Yonina C. Eldar 4k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Mathematical Analysis and Transform Methods research done?
The largest centres of Mathematical Analysis and Transform Methods research in 2022–2025 are Beijing (China), Moscow (Russia), Vienna (Austria) and New Delhi (India). Among places with at least 20 works in it, it is an unusually large share of all research in Casablanca, Srinagar and Tunis.
Largest cities, 2022–2025
Where it is the local speciality
- CasablancaMA · 24.9 works25×
- SrinagarIN · 22.6 works23×
- TunisTN · 27.6 works19×
Location quotient: how much more of its research is in Mathematical Analysis and Transform Methods than the world average.
Where is the best place to study Mathematical Analysis and Transform Methods?
Among universities, judged by research, University of Hassan II Casablanca, Taibah University and Islamic University of Science and Technology score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | University of Hassan II Casablanca Morocco | 70.8 | 18.3% | 43.5× | 25 | +373.9% |
| 2 | Taibah University Saudi Arabia | 67.7 | 26.4% | 30.1× | 10 | +264.7% |
| 3 | Islamic University of Science and Technology India | 66.9 | 51.4% | 160.9× | 12 | — |
| 4 | Indian Institute of Technology Dhanbad India | 65.7 | 38.7% | 28.4× | 13 | +136.5% |
| 5 | Tunis El Manar University Tunisia | 63.1 | 22.2% | 29.5× | 11 | +210.1% |
| 6 | Banaras Hindu University India | 61.0 | 23.6% | 13.2× | 14 | +179.0% |
| 7 | University of Vienna Austria | 60.1 | 22.4% | 17.5× | 19 | +5.5% |
| 8 | Politecnico di Milano Italy | 57.6 | 56.6% | 6.6× | 10 | +40.3% |
| 9 | University of Kashmir India | 55.4 | 27.0% | 39.5× | 13 | +82.9% |
| 10 | Tunis University Tunisia | 49.1 | 22.0% | 41.6× | 8 | +39.4% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Mathematical Analysis and Transform Methods research growing?
Output in 2018–2022 was 5% lower than in 2013–2017, peaking in 2024. The fastest-growing topics are Mathematical Analysis and Transform Methods.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.