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math.FA2023★ 2 cited
Nonlinear expansions in reproducing kernel Hilbert spaces
Javad Mashreghi, William Verreault
We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The…
math.NT2023
On the tower factorization of integers
Jean-Marie De Koninck, William Verreault
Under the fundamental theorem of arithmetic, any integer can be uniquely written as a product of prime powers ; factoring each exponent as a product of prime powers…
math.NT2023
Arithmetic functions at factorial arguments
Jean-Marie De Koninck, William Verreault
For various arithmetic functions , the behavior of and that of can be intriguing. For instance, for some functions , w…