Results 21 to 30 of about 1,565,058 (384)
A Besov algebra calculus for generators of operator semigroups and related norm-estimates [PDF]
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces.
C. Batty, A. Gomilko, Y. Tomilov
semanticscholar +1 more source
A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci+3 more
doaj +1 more source
The ZX-calculus is complete for the single-qubit Clifford+T group [PDF]
The ZX-calculus is a graphical calculus for reasoning about pure state qubit quantum mechanics. It is complete for pure qubit stabilizer quantum mechanics, meaning any equality involving only stabilizer operations that can be derived using matrices can ...
Miriam Backens
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Linear differential operators on contact manifolds [PDF]
We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus: noncommutative symbolic calculus, the principal symbol, and the ...
Charles H. Conley+4 more
core +3 more sources
In this paper, we develop a fractional integro‐differential operator calculus for Clifford algebra‐valued functions. To do that, we introduce fractional analogues of the Teodorescu and Cauchy‐Bitsadze operators, and we investigate some of their mapping ...
M. Ferreira+3 more
semanticscholar +1 more source
On the index of pseudo-differential operators on compact Lie groups [PDF]
In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense of Ruzhansky and Turunen).
Cardona Sanchez, Duvan
core +1 more source
Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points. [PDF]
Difference calculus compatible with polynomials (i.e., such that the divided difference operator of first order applied to any polynomial must yield a polynomial of lower degree) can only be made on special lattices well known in contemporary $q ...
Magnus, Alphonse P.
core +2 more sources
A direct extension of Meller's calculus
This paper extends the operational calculus of Meller for the operator Bα=t−αddttα+1ddt to the case where α∈(0,∞). The development is àla Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.
E. L. Koh
doaj +1 more source
In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor+2 more
doaj +1 more source
An Operational Calculus for the Mould Operad [PDF]
The operad of moulds is realized in terms of an operational calculus of formal integrals (continuous formal power series). This leads to many simplifications and to the discovery of various suboperads. In particular, we prove a conjecture of the first author about the inverse image of non-crossing trees in the dendriform operad.
Chapoton, Frédéric+3 more
openaire +4 more sources