Multidimensional Fourier interpolation and fast Fourier transforms

The equality of the coefficients of the interpolation polynomial over a parallelepipedal grid for a multidimensional function to the coefficients of the interpolation polynomial over a uniform grid for a one-dimensional function is proved, for which the fast Fourier transform can be applied according to various schemes.

Authors

Institutions

Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления
Published
2024-10-03
DOI
https://doi.org/10.31857/s2686954324030074
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Multidimensional Fourier interpolation and fast Fourier transforms

N. N. Dobrovolsky, Владимир Николаевич Чубариков, Yu. A. Basalov
Доклады Российской академии наук Математика информатика процессы управления
Electromagnetic Scattering and Analysis
article

Multidimensional Fourier interpolation and fast Fourier transforms

N. N. Dobrovolsky, Владимир Николаевич Чубариков, Yu. A. Basalov
article en

Abstract

The equality of the coefficients of the interpolation polynomial over a parallelepipedal grid for a multidimensional function to the coefficients of the interpolation polynomial over a uniform grid for a one-dimensional function is proved, for which the fast Fourier transform can be applied according to various schemes.

Доклады Российской академии наук Математика информатика процессы управленияVol. 517(1)
Lomonosov Moscow State University (RU), Tula State Pedagogical University named after L.N. Tolstoy (RU), Moscow State University (TJ)
Openalex Percentile: Top 85%
Electromagnetic Scattering and Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.