Results 41 to 50 of about 1,127,435 (287)

Fourier-Mukai transforms [PDF]

, 2007
Suggestions by many people incorporated (see the acknowledgement at the end of the introduction)
Hille, Lutz, Bergh, Michel Van den
openaire   +2 more sources

Fast complexified quaternion Fourier transform

, 2006
A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued.
Bihan Stephen, J. Sangwine, Nicolas Le, Salem Said   +3 more
core   +4 more sources

Relating the Lorentzian and exponential: Fermi's approximation,the Fourier transform and causality [PDF]

, 2002
The Fourier transform is often used to connect the Lorentzian energy distribution for resonance scattering to the exponential time dependence for decaying states.
A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, Arno R. Bohm, C.F. Bharucha, C.W. Oates, E. Fermi, E. Roberts, E.P. Wigner, G. Gamow, G.C. Hegerfeldt, G.W. King, H. Jakobvits, H. Primakoff, H. Walther, H.W. Atherton, J.P. Antoine, J.P. Antoine, L. Fonda, L.A. Khalfin, L.A. Khalfin, M. Gadella, M. Levy, M.H. Stone, N. L. Harshman, O. Civitarese, R.P. Feynman, S.R. Wilkinson, U. Volz, V. Weisskopf, V. Weisskopf   +32 more
core   +2 more sources

Quantum Fourier Transform Has Small Entanglement

PRX Quantum, 2023
The quantum Fourier transform (QFT) is a key component of many important quantum algorithms, most famously being the essential ingredient in Shor’s algorithm for factoring products of primes.
Jielun Chen (陈捷伦), E.M. Stoudenmire, Steven R. White   +2 more
doaj   +1 more source

Steerable Discrete Fourier Transform

, 2017
Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT).
Fracastoro, Giulia, Magli, Enrico
core   +1 more source

Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II [PDF]

, 2015
We present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite group.
Maslen, David, Rockmore, Daniel N., Wolff, Sarah   +2 more
core   +3 more sources

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Evolutionarily divergent DUF4465 domains have a common vitamin B12‐binding function

FEBS Open Bio, EarlyView.
We show that DUF4465 family proteins, widespread across bacteria from gut microbiomes, hydrothermal vents, and soil, share a common vitamin B12‐binding function. These augmented β‐jellyroll proteins bind vitamin B12 via extended loops. Our findings establish sequence‐diverse DUF4465 proteins as a widespread class of B12‐binding proteins, highlighting ...
Charlea Clarke, Michal Banasik, Rokas Juodeikis, Martin J. Warren, Richard W. Pickersgill   +4 more
wiley   +1 more source

Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)

Fractal and Fractional
The fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy, Zeinab S. I. Mansour, Ahmed Zayed   +2 more
doaj   +1 more source

Phase-controlled Fourier-transform spectroscopy

Nature Communications, 2018
Fourier transform spectrometers are generally limited to slow scanning rates at high resolution. Here the authors demonstrate highly efficient Fourier transform spectroscopy using a dynamic phase-control technique that enables fast acquisition without ...
Kazuki Hashimoto, Takuro Ideguchi
doaj   +1 more source