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Time-frequency plane behavioural studies of harmonic and chirp functions with fractional Fourier transform (FRFT) [PDF]
The behaviour of harmonic and chirp functions was studied on the time-frequency plane with the help of fractional Fourier transform (FRFT). Studies were also carried out through simulation with different numbers of samples of the functions.
Rajshree Mishra
doaj
An Analytical Dataset of Approaches to V in Mozart
Tonal functions—tonic, pre-dominant, and dominant—are a standard feature of North American music theory. The pre-dominant (PD) encompasses the largest number of chords, varying in quality and scale degrees; unlike the tonic and dominant functions, it is ...
Jenine Brown, Daphne Tan, Michelle Lin
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Path Integrals and Their Application to Dissipative Quantum Systems [PDF]
Introduction Path Integrals - Introduction - Propagator - Free Particle - Path Integral Representation of Quantum Mechanics - Particle on a Ring - Particle in a Box - Driven Harmonic Oscillator - Semiclassical Approximation ...
A. Auerbach+31 more
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The local uniform convergence of positive harmonic function sequence
The Harnack distance on space and its conformal invariance were constructed and studied by Herron. In this paper, we obtain the Harnack distance on domains in . Then, we use this concept to investigate some properties of the positive harmonic function
Dang Thinh Do+2 more
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On the truncation of the harmonic oscillator wavepacket [PDF]
We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator ...
Ali S T+11 more
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Polynomial Harmonic Decompositions
For real polynomials in two indeterminates a classical polynomial harmonic decomposition (cf. (1) below) is extended from square-norm divisors to conic ones. The main result is then applied to obtain a full polynomial harmonic decomposition, and to solve
Anghel Nicolae
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Renormalization of the commutative scalar theory with harmonic term to all orders
The noncommutative scalar theory with harmonic term (on the Moyal space) has a vanishing beta function. In this paper, we prove the renormalizability of the commutative scalar field theory with harmonic term to all orders by using multiscale analysis in ...
A. Connes+39 more
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Boundary behavior p-harmonic functions in the Heisenberg group [PDF]
We study the boundary behavior of nonnegative p-harmonic functions which vanish on a portion of the boundary of a domain in the Heisenberg group H^n. Our main results are: 1) An estimate from above which shows that, under suitable geometric assumptions ...
Cong Phuc, Nguyen, Nicola Garofalo
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GENERALIZATION OF THE THOMSON FORMULA FOR HOMOGENEOUS HARMONIC FUNCTIONS
It is shown that the Thomson formula for three-dimensional harmonic homogeneous functions can be generalized if, instead of purely algebraic linear expressions, one uses a linear algebraic form with the participation of the first order partial ...
Berdnikov Alexander+3 more
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Harmonic mappings and distance function [PDF]
We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with $C^{1,\alpha ...
Kalaj, David
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