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- Hans G. Feichtinger

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
11,960
170
World Ranking
877
National Ranking
15

- Mathematical analysis
- Algebra
- Fourier transform

Hans G. Feichtinger spends much of his time researching Modulation space, Mathematical analysis, Pure mathematics, Banach space and Algebra. His study looks at the intersection of Modulation space and topics like Gabor atom with Eigenvalues and eigenvectors, Linear map and Pointwise multiplication. His Mathematical analysis study combines topics in areas such as Time–frequency analysis and Gabor transform.

Hans G. Feichtinger has included themes like Besov space and Type in his Pure mathematics study. The concepts of his Algebra study are interwoven with issues in Topological tensor product and Fréchet space. Hans G. Feichtinger combines subjects such as Banach manifold and Lp space with his study of Fréchet space.

- Banach spaces related to integrable group representations and their atomic decompositions, I (671 citations)
- Banach spaces related to integrable group representations and their atomic decompositions, I (671 citations)
- Modulation Spaces on Locally Compact Abelian Groups (458 citations)

His primary areas of investigation include Pure mathematics, Algorithm, Mathematical analysis, Discrete mathematics and Fourier transform. His Algorithm research incorporates elements of Signal processing, Gabor wavelet and Time–frequency analysis. His Mathematical analysis study combines topics from a wide range of disciplines, such as Function and Gabor transform.

The study incorporates disciplines such as Interpolation space, Bounded function and Abelian group in addition to Discrete mathematics. His Interpolation space research includes themes of Banach manifold, Eberlein–Šmulian theorem and Topological tensor product. His Modulation space study contributes to a more complete understanding of Algebra.

- Pure mathematics (28.65%)
- Algorithm (21.35%)
- Mathematical analysis (19.79%)

- Pure mathematics (28.65%)
- Mathematical analysis (19.79%)
- Modulation space (15.10%)

His scientific interests lie mostly in Pure mathematics, Mathematical analysis, Modulation space, Function space and Hilbert space. His Pure mathematics research is multidisciplinary, incorporating perspectives in Class, Fourier transform and Group representation. His Modulation space research is multidisciplinary, relying on both Calculus, Banach space, Combinatorics and Tensor product.

He interconnects Context, Lp space, Bounded function, Space and Real line in the investigation of issues within Function space. His work carried out in the field of Lp space brings together such families of science as Birnbaum–Orlicz space, Locally convex topological vector space, Topological tensor product, Compact-open topology and Fréchet space. His Hausdorff space study integrates concerns from other disciplines, such as Abelian group and Algebra.

- Gabor Analysis and Algorithms (217 citations)
- Advances in Gabor Analysis (171 citations)
- Wiener Amalgams over Euclidean Spaces and Some of Their Applications (64 citations)

- Mathematical analysis
- Algebra
- Fourier transform

His primary scientific interests are in Algorithm, Mathematical analysis, Discrete mathematics, Algebra and Communication channel. His research investigates the connection between Algorithm and topics such as Mathematical optimization that intersect with problems in Ambiguity function, Function, Transformation, Ambiguity and Waveform. In Mathematical analysis, Hans G. Feichtinger works on issues like Wavelet, which are connected to Upper half-plane, Hardy space and Lattice.

His research in Discrete mathematics intersects with topics in Lambda, Lattice, Lattice multiplication and Linear combination. His research in Algebra is mostly concerned with Random matrix. His biological study spans a wide range of topics, including Matching pursuit algorithms, Fourier series, Signal and Compressed sensing.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Gabor Analysis and Algorithms: Theory and Applications

Hans G. Feichtinger;T. Strohmer.

**(1997)**

1186 Citations

Gabor Analysis and Algorithms: Theory and Applications

Hans G. Feichtinger;T. Strohmer.

**(1997)**

1186 Citations

Banach spaces related to integrable group representations and their atomic decompositions, I

Hans G Feichtinger;Hans G Feichtinger;K.H Gröchenig;K.H Gröchenig.

Journal of Functional Analysis **(1989)**

1104 Citations

Banach spaces related to integrable group representations and their atomic decompositions, I

Hans G Feichtinger;Hans G Feichtinger;K.H Gröchenig;K.H Gröchenig.

Journal of Functional Analysis **(1989)**

1104 Citations

Modulation Spaces on Locally Compact Abelian Groups

Hans G. Feichtinger.

**(2003)**

630 Citations

Modulation Spaces on Locally Compact Abelian Groups

Hans G. Feichtinger.

**(2003)**

630 Citations

Frame-theoretic analysis of oversampled filter banks

H. Bolcskei;F. Hlawatsch;H.G. Feichtinger.

IEEE Transactions on Signal Processing **(1998)**

460 Citations

Frame-theoretic analysis of oversampled filter banks

H. Bolcskei;F. Hlawatsch;H.G. Feichtinger.

IEEE Transactions on Signal Processing **(1998)**

460 Citations

Theory and practice of irregular sampling

Hans G. Feichtinger;Karlheinz Gröchenig.

**(2021)**

451 Citations

Theory and practice of irregular sampling

Hans G. Feichtinger;Karlheinz Gröchenig.

**(2021)**

451 Citations

Journal of Fourier Analysis and Applications

(Impact Factor: 1.273)

Journal of Approximation Theory

(Impact Factor: 0.993)

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