Results 21 to 30 of about 1,565,058 (384)

A Besov algebra calculus for generators of operator semigroups and related norm-estimates [PDF]

open access: yesMathematische Annalen, 2018
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

open access: yesJournal of Inequalities and Applications, 2016
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]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
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
doaj   +1 more source

Linear differential operators on contact manifolds [PDF]

open access: yes, 2012
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

A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus

open access: yesMathematical methods in the applied sciences, 2019
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]

open access: yes, 2019
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]

open access: yes, 1995
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
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

Some Subordination Results Defined by Using the Symmetric q-Differential Operator for Multivalent Functions

open access: yesAxioms, 2023
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]

open access: yesInternational Mathematics Research Notices, 2010
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

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