Construction of irregular complete interpolation sets for shift-invariant spaces
K Priyanka, AA Selvan - arXiv preprint arXiv:2408.09099, 2024 - arxiv.org
For several shift-invariant spaces, there exists a real number $ a\in\mathbb {R} $ such that
the set $ a+\mathbb {Z} $ is a complete interpolation set. In this paper, we characterize the …
the set $ a+\mathbb {Z} $ is a complete interpolation set. In this paper, we characterize the …
NON-MSF A-WAVELETS FROM A-WAVELET SETS
NK Shukla - International Journal of Wavelets, Multiresolution and …, 2013 - World Scientific
Generalizing the result of Bownik and Speegle [Approximation Theory X: Wavelets, Splines
and Applications, Vanderbilt University Press, pp. 63–85, 2002], we provide plenty of non …
and Applications, Vanderbilt University Press, pp. 63–85, 2002], we provide plenty of non …
Constructing non-MSF wavelets from generalized Journé wavelet sets
Dai and Larson [Mem. Amer. Math. Soc. 134 (1998), no. 640] obtained a family of wavelet
sets using the Journé wavelet set. In this paper, we expand this family and call its members …
sets using the Journé wavelet set. In this paper, we expand this family and call its members …
Contractibility of Simple Scaling Sets
In this paper, we show that the space of three-interval scaling functions with the induced
metric of L^2(\mathbbR) consists of three pathcomponents each of which is contractible and …
metric of L^2(\mathbbR) consists of three pathcomponents each of which is contractible and …
CONTRACTIBILITY OF SlMPLE SCALING SETS.
NK SHUKLA, GCS YADAV - … in Mathematical Analysis, 2014 - search.ebscohost.com
In this paper, we show that the space of three-interval scaling functions with the induced
metric of L² (ℝ) consists of three path-components each of which is contractible and hence …
metric of L² (ℝ) consists of three path-components each of which is contractible and hence …