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Inversion formula
, 2007
"... For a function in f ∈ L1(Rn) define the Fourier transform f̂(ξ) = ..."
On inversion formulas and . . .
, 2008
"... A research problem for undergraduates and graduates is being posed as a cap for the prior antecedent regular discrete mathematics exercises. [Here cap is not necessarily CAP=Competitive Access Provider, though nevertheless...] The object of the cap problem of final interest i.e. array of fibonomial ..."
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A research problem for undergraduates and graduates is being posed as a cap for the prior antecedent regular discrete mathematics exercises. [Here cap is not necessarily CAP=Competitive Access Provider, though nevertheless...] The object of the cap problem of final interest i.e. array of fibonomial coefficients and the issue of its combinatorial meaning is to be found in A.K.Kwa´sniewski’s source papers. The cap problem number seven still opened for students has been placed on Mathemagics page of the first author
On the Generalized Möbius Inversion Formulas
"... We provide a wide class of Möbius inversion formulas in terms of the generalized Möbius functions and its application to the setting of the Selberg multiplicative functions. ..."
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We provide a wide class of Möbius inversion formulas in terms of the generalized Möbius functions and its application to the setting of the Selberg multiplicative functions.
Inversion Formula for Continuous Multifractals
, 1997
"... In a previous paper [MR] the authors introduced the inverse measure y of a probability measure on [0; 1]. It was argued that the respective multifractal spectra are linked by the `inversion formula' f y (ff) = fff(1=ff). Here, the statements of [MR] are put in more mathematical terms and ..."
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Cited by 12 (5 self)
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In a previous paper [MR] the authors introduced the inverse measure y of a probability measure on [0; 1]. It was argued that the respective multifractal spectra are linked by the `inversion formula' f y (ff) = fff(1=ff). Here, the statements of [MR] are put in more mathematical terms
THE COMPLEX INVERSION FORMULA REVISITED
"... Abstract. We give a simplified proof of the complex inversion formula for semigroups and — more generally — solution families for scalartype Volterra equations, including the stronger versions on UMD spaces. Our approach is based on (elementary) Fourier analysis. 1. ..."
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Abstract. We give a simplified proof of the complex inversion formula for semigroups and — more generally — solution families for scalartype Volterra equations, including the stronger versions on UMD spaces. Our approach is based on (elementary) Fourier analysis. 1.
Recurrent Inversion Formulas
 Some Properties and Open Problems of Hessian Nilpotent polynomials, In preparation. Department of Mathematics, Illinois State University, Normal, IL 617904520. Email: wzhao@ilstu.edu
"... Abstract. Let F(z) = z − H(z) with o(H(z)) ≥ 2 be a formal map from C n to C n and G(z) the formal inverse of F(z). In this paper, we fist study the deformation Ft(z) = z − tH(z) and its formal inverse map Gt(z). We then derive two recurrent formulas for the formal inverse G(z). The first formula ..."
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Cited by 2 (2 self)
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Abstract. Let F(z) = z − H(z) with o(H(z)) ≥ 2 be a formal map from C n to C n and G(z) the formal inverse of F(z). In this paper, we fist study the deformation Ft(z) = z − tH(z) and its formal inverse map Gt(z). We then derive two recurrent formulas for the formal inverse G(z). The first
INVERSION FORMULA FOR CREGULARIZED SEMIGROUPS
"... Abstract. In this paper, we establish an inversion formula for exponentially bounded Cregularized semigroup. 1. ..."
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Abstract. In this paper, we establish an inversion formula for exponentially bounded Cregularized semigroup. 1.
The Jacobi inversion formula
 COMPLEX VARIABLES
, 1999
"... We look for differential equations satisfied by the generalized Jacobi polynomials α,β,M,N Pn (x) } ∞ which are orthogonal on the interval [−1, 1] with respect to the weight n=0 function Γ(α + β + 2) 2 α+β+1 Γ(α + 1)Γ(β + 1) (1 − x)α (1 + x) β + Mδ(x + 1) + Nδ(x − 1), where α> −1, β> −1, M ≥ ..."
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Cited by 6 (1 self)
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≥ 0 and N ≥ 0. In order to find explicit formulas for the coefficients of these differential equations we have to solve systems of equations of the form i=1 where the coefficients {Ai(x)} ∞ unique solution given by Ai(x) = 2 i i∑ j=1 Ai(x)D i P (α,β) n (x) = Fn(x), n = 1, 2, 3,..., i=1
Results 1  10
of
2,262