Fractional powers of monotone operators

equipped with the inner product. (2.2) (v, w)L2s(H) :=. 0. (z1s2s v(z), z. ... H) z 3s12s v′′ L2?(H)}. Each of these spaces equipped with its natural inner product and the inducednorms.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2018/hauer-3.pdf

University of Sydney Journal of TESOL Volume 2, 2023 ...

University of Sydney Journal of TESOL. Volume 2, 2023. Aek Phakiti, Marie Stevenson, Phil Chapell and Margaret Kettle. Editors. Published by. The University of Sydney TESOL Research Collaboration Sydney School of Education and Social Work. Faculty
www.sydney.edu.au/content/dam/corporate/documents/faculty-of-arts-and-social-sciences/research/research-centres-institutes-groups/usj-of-tesol/volume-2,-june-2023.pdf

A COMPUTATIONAL METHOD TO EXTRACT MACROSCOPICVARIABLES AND THEIR DYNAMICS ...

ψ1 ψ2 ψm : X Rm. then, the product. φ1 φ2 φm : Z Rm. ... 5.1. Examples. 5.1.1. The skew-product example. We now apply Algorithm 2 to the exam-ple system (4.4)–(4.5) from Section 4.3.2.
www.maths.usyd.edu.au/u/gottwald/preprints/lev-for-pdf2.pdf

Odd reflections in the Yangian associated with gl(m|n) A. ...

satisfy conditions (3.4). The coproduct formula (2.8) implies that the Y(glm|n)-module L(λ(u))is isomorphic to a subquotient of the tensor product of finite-dimensional ... We will regard L(λ(u)) as the Y(gl1|1)-module, obtained via thecomposition with
www.maths.usyd.edu.au/u/pubs/publist/preprints/2021/molev-14.pdf

Spherical Pendulum, Actions, and Spin Dedicated to John Ross ...

copies of SO(3). In a natural way, this point of view introduces a classical. ... Taking. the direct product with the '-circle S1, we con rm the above assertion about.
www.maths.usyd.edu.au/u/dullin/preprints/spass.pdf

A COLLECTIVE COORDINATE FRAMEWORK TO STUDYSOLITARY WAVES IN STOCHASTICALLY ...

A natural question to ask is how is this remarkable property of coherence. ... We further define the vector N (Un) = 6Un DUn,where the product is done element-wise.
www.maths.usyd.edu.au/u/gottwald/preprints/stochKdV.pdf

19/04/04 LICHTENBAUM–TATE DUALITY FOR VARIETIES OVER P-ADIC FIELDS JOOST ...

These pairings satisfy the usual symmetry rules for cup products, and they induce perfectpairings. ... Product with cohomology. The pairing (1) is a special case of the Yoneda pairing.
www.maths.usyd.edu.au/u/vanhamel/Preprints/ltd-290404.pdf

Multiple competition-based FDR control and itsapplication to peptide detection? ...

More specifically, in the iid decoys case the conditional distribution of {Li : i N} givenW clearly factors into the product of the conditional distribution of each truenull Li given Wi: a ... each Fl is defined on a contiguous sequence of natural numbers
www.maths.usyd.edu.au/u/uri/my_papers/2020_multicomp_RECOMB.pdf

Contact singularities in nonstandard slow-fast dynamical systems Ian Lizarraga, ...

z′ = N(z)f(z) (10). of the layer problem. Such factorisations are natural in many applications, including chemicalreaction networks [32,33]. ... We will instead use a slightly different, though equivalent, notion of contact for two curves inthe plane
www.maths.usyd.edu.au/u/marangel/publications/ContactSingularities.pdf