Results 11 to 20 of about 1,236,961 (324)

Quantum Fourier analysis. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
SignificanceClassical Fourier analysis, discovered over 200 years ago, remains a cornerstone in understanding almost every field of pure mathematics. Its applications in physics range from classical electromagnetism to the formulation of quantum theory.
Jaffe A, Jiang C, Liu Z, Ren Y, Wu J.
europepmc   +5 more sources

Fourier analysis on the sphere [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1975
A new approach to harmonic analysis on the unit sphere in R d + 1 {{\mathbf {R}}^{d + 1}} is given, closer in form to Fourier analysis on R
Thomas Sherman
  +4 more sources

A Limitation of Fourier Analysis [PDF]

open access: bronzeIndiana University Mathematics Journal, 1967
Garrett Birkhoff
openalex   +4 more sources

On Fourier Analysis [PDF]

open access: bronzeGeophysical Journal International, 1966
Harold Jeffreys
openalex   +3 more sources

Experiment in Fourier Analysis [PDF]

open access: greenAmerican Journal of Physics, 1973
Utilizing only commonly available components and instruments, construction and performance details are given for a system capable of extracting the sinusoidal components of a 10 kHz square wave and a 10 kHz half-wave rectified sine wave to at least the seventh harmonic with an amplitude accuracy of at least 10%.
W. P. Lonc
openalex   +4 more sources

A Maximality Theorem in Fourier Analysis [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1967
Wermer's well-known maximality theorem [4], [5] has been generalized by Hoffman and Singer [2] as follows. Let G be an ordered abelian group with nonnegative class G+, and dual group P. Then the subalgebra A of C(F) generated by G+ can be extended to a maximal subalgebra of C(F), provided there exists a homomorphism t:#90 of G into the additive group R
Robert Kaufman
openalex   +3 more sources

Some Results in the Fourier Analysis [PDF]

open access: bronzeNagoya Mathematical Journal, 1966
There are many uses of Fourier analysis in the analytic number theory. In this paper we shall derive two fundamental theorems using Cramer’s method (Mathematical methods of statistics, 1946).
Tikao Tatuzawa
openalex   +4 more sources

Fourier analysis on the Heisenberg group [PDF]

open access: greenProceedings of the National Academy of Sciences, 1977
We obtain a usable characterization of the (group) Fourier transform of đť’®(H n ) (Schwartz space on the Heisenberg group). The characterization involves writing elements of [Formula: see text] as asymptotic series in Planck's constant.
Daryl Geller
openalex   +6 more sources

Krawtchouk transforms and convolutions

open access: yesBulletin of Mathematical Sciences, 2020
We present an operator calculus based on Krawtchouk polynomials, including Krawtchouk transforms and corresponding convolution structure which provides an inherently discrete alternative to Fourier analysis.
Philip Feinsilver, René Schott
doaj   +1 more source

Dynamic impedance modeling of an alkaline electrolyzer for hydrogen production

open access: yesZhejiang dianli, 2023
Modeling of the hydrogen production systerm is of great significance to energy consumption reduction and the study of the interaction characteristics of different flows in integrated energy systems.
ZHANG Hanbing   +6 more
doaj   +1 more source

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