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2016, Graduate studies in mathematics, ISBN 1470430959, Volume 177, xxiii, 275 pages
Book
Advances in Mathematics, ISSN 0001-8708, 10/2016, Volume 302, pp. 410 - 432
It is observed that the infinite matrix with entries (mnlog⁡(mn))−1 for m,n≥2 appears as the matrix of the integral operator Hf(s):=∫1/2+∞f(w)(ζ(w+s)−1)dw with... 
Carleson measure | Commutation | Multiplicative Hankel forms | Operator norm | Hardy spaces of Dirichlet series | Riemann zeta function | Bohr lift | Hilbert matrix | Infinite dimensional torus | Spectrum | Mellin transform
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2011, Volume 59, Issue 3, pp. 964 - 978
Journal Article
The European Physical Journal B, ISSN 1434-6028, 9/2017, Volume 90, Issue 9, pp. 1 - 10
Quantum correlations between two free spinless dissipative distinguishable particles (interacting with a thermal bath) are studied analytically using the... 
Condensed Matter Physics | Solid State Physics | Physics, general | Fluid- and Aerodynamics | Complex Systems | Physics | PHYSICS, CONDENSED MATTER | QUANTUM WALK | Atoms | Physics - Quantum Physics
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 05/2013, Volume 25, Issue 4, p. 1350006
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 10/2017, Volume 222, Issue 2, pp. 787 - 814
We investigate complex structures on twisted Hilbert spaces, with special attention paid to the Kalton–Peck Z 2 space and to the hyperplane problem. For any... 
Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | INTERPOLATION | MATHEMATICS | THEOREM | BANACH-SPACES | L-P | SUMS | Hilbert space | Research | Mathematical research | Complex systems
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 4/2017, Volume 351, Issue 1, pp. 1 - 44
We study determinantal point processes on $${\mathbb{C}}$$ C induced by the reproducing kernels of generalized Fock spaces as well as those on the unit disc... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | GAMMA KERNEL | Derivatives (Financial instruments) | Information management | Dynamical Systems | Mathematics
Journal Article
ADVANCES IN MATHEMATICS, ISSN 0001-8708, 03/2013, Volume 235, pp. 580 - 626
In this paper, we study the birational geometry of the Hilbert scheme P-2[n] of n-points on P-2. We discuss the stable base locus decomposition of the... 
MATHEMATICS | ALGEBRAIC FAMILIES | BUNDLES | Hilbert scheme | K3 SURFACES | COMPLEXES | MODULI SPACE | Minimal model program | CURVES | Bridgeland stability conditions | Quiver representations | SEMISTABLE OBJECTS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2019, Volume 276, Issue 5, pp. 1622 - 1679
Suppose H is a finite dimensional reproducing kernel Hilbert space of functions on X. If H has the complete Pick property then there is an isometric map, Φ,... 
Complete Pick property | Complex hyperbolic space | INTERPOLATION | MATHEMATICS | SHAPE INVARIANT | TRIANGLES | OPERATOR-ALGEBRAS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2011, Volume 260, Issue 9, pp. 2826 - 2842
We provide a reasonably optimal answer to the natural question of the conditions under which an analytic function on an infinite-dimensional Hilbert space... 
Gradient inequality | Analytic functionals | Hilbert space | Łojasiewicz theorem | DISSIPATION | DECAY | SEMILINEAR EVOLUTION-EQUATIONS | MATHEMATICS | ANALYTIC NONLINEARITY | EQUILIBRIUM | Lojasiewicz theorem | CONVERGENCE | SYSTEMS | BOUNDED SOLUTIONS | WAVE-EQUATION
Journal Article
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, ISSN 0219-8878, 05/2019, Volume 16, Issue 5
An orthogonality space is a set endowed with a symmetric, irreflexive binary relation. By means of the usual orthogonality relation, each anisotropic quadratic... 
orthogonality space | orthomodular lattice | THEOREM | orthomodular space over an ordered star-field | QUANTUM | Characterization of the complex Hilbert space | PHYSICS, MATHEMATICAL
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 08/2015, Volume 17, Issue 4, pp. 1550016 - 1-1550016-42
We consider bordered Riemann surfaces which are biholomorphic to compact Riemann surfaces of genus g with n regions biholomorphic to the disk removed. We... 
Rigged moduli space | Weil-Petersson class Teichmüller space | MATHEMATICS | MATHEMATICS, APPLIED | Weil-Petersson class Teichmuller space | COMPLEX STRUCTURE | CURVE | Manifolds | Riemann surfaces | Mathematical analysis | Disks | Field theory | Mapping | Inclusions | Expansion | Mathematics | Naturvetenskap | Natural Sciences | Matematik
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2015, Volume 64, Issue 2, pp. 577 - 612
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2014, Volume 39, Issue 1, pp. 231 - 258
If g is an analytic function in the unit disc D, we consider the generalized Hilbert operator H-g defined by H(g()f)(z) = integral(1)(0) f(t)g'(tz)dt. We study... 
Dirichlet spaces | Generalized Hilbert operators | Bergman spaces | Hardy spaces | MATHEMATICS | MATRIX | HARDY | ANALYTIC-FUNCTIONS
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 12/2015, Volume 200, pp. 221 - 226
Several interesting formulas concerning finite Hilbert transform and logarithmic integrals are proved with application determining equilibrium measures. 
Equilibrium measures | Hilbert transform | Boundary functions | Complex Hardy spaces | MATHEMATICS
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 12/2017, Volume 40, Issue 18, pp. 7240 - 7254
Aveiro method is a sparse representation method in reproducing kernel Hilbert spaces, which gives orthogonal projections in linear combinations of reproducing... 
pre‐orthogonal greedy algorithm | Aveiro method | reproducing Kernel | Reproducing Kernel | Pre-orthogonal greedy algorithm | DECOMPOSITION | MATHEMATICS, APPLIED | pre-orthogonal greedy algorithm | Kernels | Greedy algorithms | Dictionaries | Hilbert space | Quantum theory | Uniqueness | Mathematics - Complex Variables
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2015, Volume 276, Issue 2, pp. 287 - 307
We show that Rochberg's generalized interpolation spaces X-(n) arising from analytic families of Banach spaces form exact sequences 0 -> X-(n) -> X(n+k) ->... 
Twisted sums of banach spaces | Complex interpolation | MATHEMATICS | BANACH-SPACES | twisted sums of Banach spaces | SUMS | Mathematics - Functional Analysis
Journal Article
ANNALES HENRI POINCARE, ISSN 1424-0637, 11/2018, Volume 19, Issue 11, pp. 3321 - 3355
Quantum Theories can be formulated in real, complex or quaternionic Hilbert spaces as established in Soler's theorem. Quantum states are here pictured in terms... 
PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Atoms | Projectors | Physicists | Quantum theory
Journal Article
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