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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

-2 votes
0 answers
113 views

How to calculate this integral [closed]

Is there a formula of this integral $$\int_{S_{2n-1}} \frac{e^{i a \langle z, \zeta \rangle}}{|z - \zeta|^{2\lambda}} \, d\sigma(\zeta)$$ and how to calculate it. Thank you in advance
Ryo Ken's user avatar
  • 113
0 votes
0 answers
35 views

Derivate involving Bessel function of second type

Let. $$f := (x, y) \mapsto \text{BesselK}(1, c \cdot (a - b \cdot (x + y))) \cdot \exp(c \cdot b \cdot (y - x))$$ Is there a close formula for this $$\frac{\partial^{m+n}}{\partial y^m \partial x^n} f …
Ryo Ken's user avatar
  • 113