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Oct
15
revised Oddify an even function and vice versa: need a Fourier transform-based formula
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Oct
15
comment Oddify an even function and vice versa: need a Fourier transform-based formula
@S. Carnahan I am not sure this answer is optimal though. I would prefer an answer that only includes integrals and no sums? because that would be easier for computer algebra systems.
Oct
15
comment Oddify an even function and vice versa: need a Fourier transform-based formula
@Noam D. Elkies when I was posting that question I had no working formula at all. Now I have the formulas, it is just that they not always converge. Thus this question is more concrete.
Oct
14
answered Oddify an even function and vice versa: need a Fourier transform-based formula
Oct
14
revised Oddify an even function and vice versa: need a Fourier transform-based formula
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Oct
14
revised Oddify an even function and vice versa: need a Fourier transform-based formula
added 75 characters in body
Oct
14
comment Oddify an even function and vice versa: need a Fourier transform-based formula
@paul garrett all features on the formulas are essential. I want FT form of the operators I provided that would extend their area of convergence.
Oct
14
comment Oddify an even function and vice versa: need a Fourier transform-based formula
@Alex Degtyarev the given operators are those, for which the formulas are provided in the question. The natural counterpart is that which produced by these formulas.
Oct
14
comment Oddify an even function and vice versa: need a Fourier transform-based formula
@paul garrett I want this coincide with the formulas I provided. I do not want other operators. I want FT forms of these formulas.
Oct
14
comment Oddify an even function and vice versa: need a Fourier transform-based formula
What's the reason for downvote?
Oct
14
comment Prove that these two definitions of “natural” integration constant coincide when both converge
What do u think about this? mathoverflow.net/questions/184437/…
Oct
14
asked Oddify an even function and vice versa: need a Fourier transform-based formula
Oct
14
awarded  Yearling
Sep
14
comment how to solve f(f(x))=x^2+x
If it were $f(f(x))=x^2+2x$ then the solution would be $f(x)=(1+x)^{\sqrt{2}}-1$ For your function the closed-form solution may be not existing.
Sep
13
revised Why does the Gamma-function complete the Riemann Zeta function?
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Sep
13
revised Why does the Gamma-function complete the Riemann Zeta function?
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Sep
12
revised Multiplicative integral of $\Gamma(x)$
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Sep
12
revised Why does the Gamma-function complete the Riemann Zeta function?
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Sep
10
comment Why does the Riemann zeta function have non-trivial zeros?
Why $F(s)$ cannot be just (properly scaled) hyperbolic cosine?
Sep
10
revised Why does the Gamma-function complete the Riemann Zeta function?
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