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Improved upper complexity bounds for the discrete fourier transform

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-9647-5_20openalex-snapshot
Computation of Fourier Transforms on the Symmetric Group
inferredcites →https://doi.org/10.1007/978-3-642-60487-4_9openalex-snapshot
Die diskrete Fourier-Transformation
inferredcites →https://doi.org/10.1007/978-3-642-64981-3openalex-snapshot
Endliche Gruppen I
inferredcites →https://doi.org/10.1007/978-3-662-00551-4openalex-snapshot
Fast Fourier Transform and Convolution Algorithms
inferredcites →https://doi.org/10.1016/0165-1684(85)90052-0openalex-snapshot
Spectral techniques in digital logic
inferredcites →https://doi.org/10.1016/0196-8858(90)90008-mopenalex-snapshot
Fast Fourier analysis for abelian group extensions
inferredcites →https://doi.org/10.1016/0304-3975(77)90007-xopenalex-snapshot
The complexity of group algebra computations
inferredcites →https://doi.org/10.1016/0304-3975(87)90041-7openalex-snapshot
On the computational complexity of the general discrete fourier transform
inferredcites →https://doi.org/10.1016/0304-3975(89)90021-2openalex-snapshot
Fast generalized Fourier transforms
inferredcites →https://doi.org/10.1016/0378-4754(81)90075-6openalex-snapshot
Fast fourier transform and convolution algorithms
inferredcites →https://doi.org/10.1016/b978-0-12-400060-5.x5001-0openalex-snapshot
Spectral Techniques and Fault Detection
inferredcites →https://doi.org/10.1038/250610b0openalex-snapshot
Computers in mathematics
inferredcites →https://doi.org/10.1073/pnas.73.4.1005openalex-snapshot
On computing the Discrete Fourier Transform
inferredcites →https://doi.org/10.1090/s0025-5718-1965-0178586-1openalex-snapshot
An Algorithm for the Machine Calculation of Complex Fourier Series
inferredcites →https://doi.org/10.1090/s0894-0347-1990-1030655-4openalex-snapshot
Efficient Computation of the Fourier Transform on Finite Groups
inferredcites →https://doi.org/10.1109/proc.1968.6477openalex-snapshot
Discrete Fourier transforms when the number of data samples is prime
inferredcites →https://doi.org/10.1109/tau.1970.1162132openalex-snapshot
A linear filtering approach to the computation of discrete Fourier transform
inferredcites →https://doi.org/10.1109/tc.1977.1674739openalex-snapshot
Fast Fourier Transforms on Finite Non-Abelian Groups
inferredcites →https://doi.org/10.1137/0218040openalex-snapshot
Fast Fourier Transforms for Metabelian Groups
inferredcites →https://doi.org/10.1137/0220028openalex-snapshot
Some Lower and Upper Complexity Bounds for Generalized Fourier Transforms and their Inverses
inferredcites →https://doi.org/10.1137/1.9781611970364openalex-snapshot
Arithmetic Complexity of Computations
inferredcites →https://doi.org/10.2307/2153230openalex-snapshot
Computers in Mathematics.
inferredcites →https://doi.org/10.7551/mitpress/5222.003.0018openalex-snapshot
A Linear Filtering Approach to the Computation of the Discrete Fourier Transform

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4614-6624-6_86-1openalex-snapshot
Gomory Group Minimization Problem and Its Applications
inferred← citeshttps://doi.org/10.1007/bf01200062openalex-snapshot
Existence and efficient construction of fast Fourier transforms on supersolvable groups
inferred← citeshttps://doi.org/10.1007/bf02510144openalex-snapshot
Double coset decompositions and computational harmonic analysis on groups
inferred← citeshttps://doi.org/10.1007/bfb0021003openalex-snapshot
Towards an “Erlangen program” for general linear systems theory
inferred← citeshttps://doi.org/10.1007/s00041-017-9555-5openalex-snapshot
The Efficient Computation of Fourier Transforms on Semisimple Algebras
inferred← citeshttps://doi.org/10.1007/s00454-003-2946-1openalex-snapshot
The Power of Nonmonotonicity in Geometric Searching
inferred← citeshttps://doi.org/10.1016/s0020-0190(00)00044-2openalex-snapshot
Variations on computing reciprocals of power series
inferred← citeshttps://doi.org/10.1080/10586458.1992.10504252openalex-snapshot
Fast Fourier Analysis for SL2over a Finite Field and Related Numerical Experiments
inferred← citeshttps://doi.org/10.1090/s0894-0347-97-00219-1openalex-snapshot
Separation of variables and the computation of Fourier transforms on finite groups, I
inferred← citeshttps://doi.org/10.1117/12.434210openalex-snapshot
Fast quantum Fourier-Weyl-Heisenberg transforms
inferred← citeshttps://doi.org/10.1137/23m1611348openalex-snapshot
Stronger 3-SUM Lower Bounds for Approximate Distance Oracles via Additive Combinatorics
inferred← citeshttps://doi.org/10.1145/513400.513411openalex-snapshot
The power of nonmonotonicity in geometric searching
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0411037openalex-snapshot
The Hidden Subgroup Problem - Review and Open Problems
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