Results 21 to 30 of about 67,137 (101)

An H∞ calculus of admissible operators [PDF]

open access: yes, 2010
—Given a Hilbert space and the generator A of a strongly continuous, exponentially stable, semigroup on this Hilbert space. For any g(−s) ∈ H ∞ we show that there exists an inf nite-time admissible output operator g(A).
Zwart, Hans
core   +1 more source

Continuous slice functional calculus in quaternionic Hilbert spaces

open access: yes, 2013
The aim of this work is to define a continuous functional calculus in quaternionic Hilbert spaces, starting from basic issues regarding the notion of spherical spectrum of a normal operator.
Adler S. L.   +15 more
core   +1 more source

The $H^\infty$-functional calculus for right slice hyperholomorphic functions and right linear Clifford operators

open access: yes
In 2016, the spectral theory on the $S$-spectrum was used to establish the $H^\infty$-functional calculus for quaternionic or Clifford operators. This calculus applies for example to sectorial or bisectorial right linear operators $T$ and left slice hyperholomorphic functions $f$ that can grow as polynomials.
Colombo, Fabrizio   +2 more
openaire   +2 more sources

Spectral calculations on locally convex vector spaces I

open access: yes, 2012
We develop a holomorphic functional calculus for (multivalued linear) operators on locally convex vector spaces.
Lakos, Gyula
core  

Linear-algebraic lambda-calculus

open access: yes, 2005
With a view towards models of quantum computation and/or the interpretation of linear logic, we define a functional language where all functions are linear operators by construction.
Arrighi, Pablo, Dowek, Gilles
core   +1 more source

Beyond the Spectral Theorem: Spectrally Decomposing Arbitrary Functions of Nondiagonalizable Operators

open access: yes, 2016
Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, often the linear operator techniques that one would then use simply fail since the operators cannot be diagonalized.
Crutchfield, James P., Riechers, Paul M.
core  

Wavelets in Banach Spaces

open access: yes, 1998
We describe a construction of wavelets (coherent states) in Banach spaces generated by ``admissible'' group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned.
Kisil, Vladimir V.
core   +2 more sources

The Generalized Fractional Calculus of Variations

open access: yes, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana   +1 more
core  

Discrete stochastic maximal regularity. [PDF]

open access: yesMath Ann
Evangelopoulos-Ntemiris F, Veraar M.
europepmc   +1 more source

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