Utility Functions#

Bandlimiting functions.#
Function Name	Description
`L0_j()`	Computes the minimum harmonic index supported by the given wavelet scale \(j\).
`n_wav_scales()`	Evalutes the total number of wavelet scales.
`j_max()`	Computes maximum wavelet scale required to ensure exact reconstruction.
`LN_j()`	Computes the harmonic bandlimit and directionality for scale \(j\).
`scal_bandlimit()`	Returns the harmominc bandlimit of the scaling coefficients.
`wav_j_bandlimit()`	Returns the harmominc bandlimit of the scaling coefficients.

Shape functions.#
Function Name	Description
`f_scal()`	Computes the shape of scaling coefficients in pixel-space.
`f_wav_j()`	Computes the shape of wavelet coefficients \(f^j\) in pixel-space.
`flmn_wav_j()`	Returns the shape of wavelet coefficients \(f^j_{\ell m n}\) in Wigner space.

Array constructing and shape checking functions.#
Function Name	Description
`construct_f()`	Defines a list of arrays corresponding to f_wav.
`construct_flm()`	Returns the shape of scaling coefficients in harmonic space.
`construct_flmn()`	Defines a list of arrays corresponding to flmn.
`wavelet_shape_check()`	Checks the shape of wavelet coefficients are correct.