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SpherePacking
.
MagicFunction
.
b
.
Eigenfunction
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source
Imports
Init
SpherePacking.MagicFunction.b.Schwartz
Imported by
MagicFunction
.
b
.
Fourier
.
perm_J₁_J₂
MagicFunction
.
b
.
Fourier
.
perm_J₅
MagicFunction
.
b
.
Fourier
.
perm_₃_J₄
MagicFunction
.
b
.
Fourier
.
perm_J₆
MagicFunction
.
b
.
Fourier
.
eig_b
source
theorem
MagicFunction
.
b
.
Fourier
.
perm_J₁_J₂
:
(
SchwartzMap.fourierTransformCLE
ℂ
)
(
SchwartzIntegrals.J₁
+
SchwartzIntegrals.J₂
)
=
-
(
SchwartzIntegrals.J₃
+
SchwartzIntegrals.J₄
)
source
theorem
MagicFunction
.
b
.
Fourier
.
perm_J₅
:
(
SchwartzMap.fourierTransformCLE
ℂ
)
SchwartzIntegrals.J₅
=
-
SchwartzIntegrals.J₆
source
theorem
MagicFunction
.
b
.
Fourier
.
perm_₃_J₄
:
(
SchwartzMap.fourierTransformCLE
ℂ
)
(
SchwartzIntegrals.J₃
+
SchwartzIntegrals.J₄
)
=
-
(
SchwartzIntegrals.J₁
+
SchwartzIntegrals.J₂
)
source
theorem
MagicFunction
.
b
.
Fourier
.
perm_J₆
:
(
SchwartzMap.fourierTransformCLE
ℂ
)
SchwartzIntegrals.J₆
=
-
SchwartzIntegrals.J₅
source
theorem
MagicFunction
.
b
.
Fourier
.
eig_b
:
(
SchwartzMap.fourierTransformCLE
ℂ
)
FourierEigenfunctions.b
=
-
FourierEigenfunctions.b