Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions
S Albeverio, H Gottschalk, JL Wu - Reviews in Mathematical …, 1996 - World Scientific
We construct Euclidean random fields X over by convoluting generalized white noise F with
some integral kernels G, as X= G* F. We study properties of Schwinger (or moment) …
some integral kernels G, as X= G* F. We study properties of Schwinger (or moment) …
[PDF][PDF] Generalized functionals in Gaussian spaces-the characterization theorem revisited
YG Kondratiev, P Leukert, J Potthoff, L Streit… - arxiv preprint math …, 2003 - arxiv.org
arxiv:math/0303054v1 [math.FA] 5 Mar 2003 Page 1 arxiv:math/0303054v1 [math.FA] 5
Mar 2003 February 1994 Generalized Functionals in Gaussian Spaces – The …
Mar 2003 February 1994 Generalized Functionals in Gaussian Spaces – The …
Hall's transform and the Segal-Bargmann map
L Gross, P Malliavin - Itô's stochastic calculus and probability theory, 1996 - Springer
Hall's transform and the Segal-Bargmann map Page 1 Hall's transform and the Segal-Bargmann
map Leonard GrossI and Paul Malliavin2 1 Department of Mathematics, Cornell University …
map Leonard GrossI and Paul Malliavin2 1 Department of Mathematics, Cornell University …
A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space
A rigged Hilbert space formalism is introduced to study Fock space operators. The symbols
of continuous operators on a rigged Fock space are characterized in terms of Bargmann …
of continuous operators on a rigged Fock space are characterized in terms of Bargmann …
Nonlinear quantum fields in≥ 4 dimensions and cohomology of the infinite Heisenberg group
J Pedersen, IE Segal, Z Zhou - Transactions of the American Mathematical …, 1994 - ams.org
Aspects of the cohomology of the infinite-dimensional Heisenberg group as represented on
the free boson field over a given Hilbert space are treated. The 1-cohomology is shown to be …
the free boson field over a given Hilbert space are treated. The 1-cohomology is shown to be …
The bosonic Fock representation and a generalized Shale theorem
PL Robinson - arxiv preprint arxiv:1203.5841, 2012 - arxiv.org
We detail a new approach to the bosonic Fock representation of a complex Hilbert space V:
our account places the bosonic Fock space S [V] between the symmetric algebra SV and its …
our account places the bosonic Fock space S [V] between the symmetric algebra SV and its …
Strong hypercontractivity and relative subharmonicity
L Gross - Journal of Functional Analysis, 2002 - Elsevier
A Hermitian metric, g, on a complex manifold, M, together with a smooth probability
measure, μ, on M determine minimal and maximal Dirichlet forms, QD and Qmax, given by Q …
measure, μ, on M determine minimal and maximal Dirichlet forms, QD and Qmax, given by Q …
Quantum interaction the construction of quantum field defined as a bilinear form
EP Osipov - Journal of Mathematical Physics, 2000 - pubs.aip.org
We construct the solution φ (t, x) of the quantum wave equation□ φ+ m 2 φ+ λ: φ 3:= 0 as a
bilinear form which can be expanded over Wick polynomials of the free in-field, and where …
bilinear form which can be expanded over Wick polynomials of the free in-field, and where …
The Berezin Calculus
PL Robinson - Publications of the Research Institute for Mathematical …, 1999 - ems.press
We present a canonical account of the Berezin integral and associated Berezin expectation
over Hilbert spaces of arbitrary dimension. Our account is illustrated by an extensive …
over Hilbert spaces of arbitrary dimension. Our account is illustrated by an extensive …
Heat kernel analysis on Lie groups
L Gross - Stochastic Analysis and Related Topics VII …, 2011 - Springer
Abstract Spaces of maps from one finite dimensional manifold to another finite dimensional
manifold provide a naturally occurring source of interesting infinite dimensional manifolds …
manifold provide a naturally occurring source of interesting infinite dimensional manifolds …