Fourier coefficients of piecewise-monotone functions of several variables

1998 ◽  
Vol 62 (2) ◽  
pp. 247-259
Author(s):  
M I Dyachenko
Keyword(s):  
Fourier Coefficients ◽  
Monotone Functions ◽  
Piecewise Monotone ◽  
Several Variables

On Estimating Integral Moduli of Continuity of Functions of Several Variables in Terms of Fourier Coefficients

1999 ◽  
Vol 6 (4) ◽  
pp. 307-322
Author(s):  
L. Gogoladze
Keyword(s):  
Fourier Coefficients ◽  
Moduli Of Continuity ◽  
Several Variables

Abstract Inequalities are derived which enable one to estimate integral moduli of continuity of functions of several variables in terms of Fourier coefficients.

On Comonotone Approximation

1983 ◽  
Vol 26 (2) ◽  
pp. 220-224 ◽  
Author(s):  
R. K. Beatson ◽  
D. Leviatan
Keyword(s):  
Jackson Type ◽  
Monotone Functions ◽  
Piecewise Monotone ◽  
Comonotone Approximation

AbstractJackson type theorems are obtained for the comonotone approximation of piecewise monotone functions by polynomials.

Reversed Hölder Type Inequalities for Monotone Functions of Several Variables

1997 ◽  
Vol 186 (1) ◽  
pp. 67-80 ◽  
Author(s):  
Sorina Barza ◽  
Josip Pečarlć ◽  
Lars-Erik Person
Keyword(s):  
Monotone Functions ◽  
Several Variables

Rankin–Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series

2019 ◽  
Vol 15 (05) ◽  
pp. 925-933
Author(s):  
Abhash Kumar Jha ◽  
Brundaban Sahu
Keyword(s):  
Dirichlet Series ◽  
Scalar Product ◽  
Fourier Coefficients ◽  
Differential Operators ◽  
Cusp Forms ◽  
Jacobi Forms ◽  
Linear Map ◽  
Special Values ◽  
Several Variables

We construct certain Jacobi cusp forms of several variables by computing the adjoint of linear map constructed using Rankin–Cohen-type differential operators with respect to the Petersson scalar product. We express the Fourier coefficients of the Jacobi cusp forms constructed, in terms of special values of the shifted convolution of Dirichlet series of Rankin–Selberg type. This is a generalization of an earlier work of the authors on Jacobi forms to the case of Jacobi forms of several variables.

scholarly journals Fourier coefficients and growth of harmonic functions

1987 ◽  
Vol 10 (3) ◽  
pp. 443-452 ◽  
Author(s):  
A. fryant ◽  
H. Shankar
Keyword(s):  
Harmonic Functions ◽  
Fourier Coefficients ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Several Variables ◽  
Order And Type ◽  
Necessary And Sufficient

We consider Harmonic Functions,Hof several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so thatHis an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in caseHis not entire. Further, we obtain, in terms of its Fourier coefficients, the Order and Type growth measures, both in caseHis entire or non-entire.

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