Aurel I. Stan

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All published works

Action	Title	Year	Authors
+ PDF Chat	Meixner random variables and their quantum operators	2024	Nobuaki Obata Aurel I. Stan Hiroaki Yoshida
+ PDF Chat	Meixner random variables and their quantum operators	2024	Nobuaki Obata Aurel I. Stan Hiroaki Yoshida
+ PDF Chat	Correlated dynamics of immune network and <i>sl</i>(3, <i>R</i>) symmetry algebra	2024	Ruma Dutta Aurel I. Stan
+ PDF Chat	Random Variables with Overlapping Number and Weyl Algebras II	2023	Ruma Dutta Gabriela Popa Aurel I. Stan
+	Review of: "Negativity, zeros and extreme values of several polynomials"	2023	Aurel I. Stan
+ PDF Chat	Random Variables with Overlapping Number and Weyl Algebras I	2023	Ruma Dutta Gabriela Popa Aurel I. Stan
+	A study of random variables in terms of the number operator	2023	Aurel I. Stan Gabriela Popa Ruma Dutta
+	Conformal folding Dynamics of Amyloid $β$-$τ$ Oligomer in Neuronal Dysfunction	2023	Riteja Dutta Aurel I. Stan
+	Correlated dynamics of Immune Network and sl(3,R) Symmetry algebra	2023	Ronnie Dutta Aurel I. Stan
+	Quantum Operators of the Semicircle Distributions	2022	Gabriela Popa Aurel I. Stan
+ PDF Chat	Meromorphic Behavior of Time Dependent Schroedinger Equation	2021	Rakesh Kumar Dutta Aurel I. Stan
+	Position–momentum decomposition of linear operators defined on algebras of polynomials	2021	Aurel I. Stan Gabriela Popa Ruma Dutta
+	1-Meixner Random Vectors	2020	Aurel I. Stan Florin Catrina
+	1--Meixner random vectors	2020	Aurel I. Stan Florin Catrina
+ PDF Chat	Log-concavity of Hölder means and an application to geometric inequalities	2019	Aurel I. Stan Sergio D. Zapeta-Tzul
+	Contractivity of Gamma Wick products	2018	Florin Catrina Aurel I. Stan
+ PDF Chat	A note on Gamma Wick products	2018	Florin Catrina Aurel I. Stan
+ PDF Chat	2-Meixner random variables and semi-quantum operators	2017	Gabriela Popa Aurel I. Stan
+	A note on a local limit theorem for Wiener space valued random variables	2016	Alberto Lanconelli Aurel I. Stan
+ PDF Chat	A sharp interpolation between the Hölder and Gaussian Young inequalities	2016	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+ PDF Chat	An inequality about pairs of conjugate Hölder numbers	2016	Andres Fernandez Aurel I. Stan
+ PDF Chat	An extension of the Beckner’s type Poincaré inequality to convolution measures on abstract Wiener spaces	2015	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+ PDF Chat	Two-dimensional 1-Meixner random vectors and their semi-quantum operators	2015	Gabriela Popa Aurel I. Stan
+	A sharp interpolation between the H\"older and Gaussian Young inequalities	2015	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	A note on a local limit theorem for Wiener space valued random variables	2015	Alberto Lanconelli Aurel I. Stan
+	A sharp interpolation between the Hölder and Gaussian Young inequalities	2015	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	A note on a local limit theorem for Wiener space valued random variables	2015	Alberto Lanconelli Aurel I. Stan
+ PDF Chat	Gamma distributed random variables and their semi-quantum operators	2014	Gabriela Popa Aurel I. Stan
+	An extension of the Beckner's type Poincar\'e inequality to convolution measures on abstract Wiener spaces	2014	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	An extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces	2014	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+ PDF Chat	Moments of two noncommutative random variables in terms of their joint quantum operators	2013	Gabriela Popa Aurel I. Stan
+	A HÖLDER INEQUALITY FOR NORMS OF POISSONIAN WICK PRODUCTS	2013	Alberto Lanconelli Aurel I. Stan
+	An Itô formula for a family of stochastic integrals and related Wong–Zakai theorems	2013	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	A family of polynomials and their application to inequalities of norms of Poisson wick products	2013	Alberto Lanconelli Aurel I. Stan
+ PDF Chat	A HÖLDER–YOUNG–LIEB INEQUALITY FOR NORMS OF GAUSSIAN WICK PRODUCTS	2011	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	A H\"older--Young--Lieb inequality for norms of Gaussian Wick products	2011	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+	A Hölder--Young--Lieb inequality for norms of Gaussian Wick products	2011	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan
+ PDF Chat	Two-dimensional Meixner Random Vectors of Class ${\mathcal{M}}_{L}$	2010	Aurel I. Stan
+	Two dimensional Meixner random vectors of class ${\mathcal M}_L$	2010	Aurel I. Stan
+	BEST CONSTANTS IN NORMS OF RETARDED WICK PRODUCTS	2010	Aurel I. Stan
+	Some Norm Inequalities for Gaussian Wick Products	2010	Alberto Lanconelli Aurel I. Stan
+	Two dimensional Meixner random vectors of class ${\mathcal M}_L$	2010	Aurel I. Stan
+ PDF Chat	PAC commutators and the R-transform	2009	Aurel I. Stan
+	AN INTERACTING FOCK SPACE CHARACTERIZATION OF PROBABILITY MEASURES	2009	Luigi Accardi Hui-Hsiung Kuo Aurel I. Stan
+	A METHOD OF RECOVERING THE MOMENTS OF A PROBABILITY MEASURE FROM COMMUTATORS	2008	Aurel I. Stan John J. Whitaker
+	A CHARACTERIZATION OF PROBABILITY MEASURES IN TERMS OF WICK PRODUCT INEQUALITIES	2008	Aurel I. Stan
+	A Study of Probability Measures Through Commutators	2008	Aurel I. Stan John J. Whitaker
+ PDF Chat	Hölder-Type Inequalities for Norms of Wick Products	2008	Alberto Lanconelli Aurel I. Stan
+	BEST CONSTANTS IN NORMS OF WICK PRODUCTS	2006	Aurel I. Stan
+	A Heisenberg Inequality for Stochastic Integrals	2005	Carl Mueller Aurel I. Stan
+	ON HEISENBERG INEQUALITY	2005	Aurel I. Stan
+	The heat equation with multiplicative stable Lévy noise	2005	Carl Mueller Leonid Mytnik Aurel I. Stan
+ PDF Chat	A STOCHASTIC HEISENBERG INEQUALITY	2004	Carl Mueller Aurel I. Stan
+	A Stochastic Heisenberg Inequality	2003	Carl Mueller Aurel I. Stan
+	A HÖLDER INEQUALITY FOR HOLOMORPHIC FUNCTIONS	2003	Aurel I. Stan
+	Paley–Wiener Theorem for White Noise Analysis	2000	Aurel I. Stan
+ PDF Chat	AN INFINITE-DIMENSIONAL HEISENBERG UNCERTAINTY PRINCIPLE	1999	Yuh-Jia Lee Aurel I. Stan
+	On Harmonic Analysis for White Noise Distribution Theory.	1999	Aurel I. Stan

Common Coauthors

Coauthor	Papers Together
Alberto Lanconelli	17
Paolo Da Pelo	10
Gabriela Popa	9
Ruma Dutta	5
Carl Mueller	4
Florin Catrina	4
Hiroaki Yoshida	2
Nobuaki Obata	2
John J. Whitaker	2
Yuh-Jia Lee	1
Ronnie Dutta	1
Andres Fernandez	1
Hui-Hsiung Kuo	1
Leonid Mytnik	1
Sergio D. Zapeta-Tzul	1
Luigi Accardi	1
Rakesh Kumar Dutta	1
Riteja Dutta	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	White Noise Calculus and Fock Space	1994	Nobuaki Obata	15
+	A Study of Probability Measures Through Commutators	2008	Aurel I. Stan John J. Whitaker	9
+ PDF Chat	A HÖLDER–YOUNG–LIEB INEQUALITY FOR NORMS OF GAUSSIAN WICK PRODUCTS	2011	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan	9
+	Best constants in Young's inequality, its converse, and its generalization to more than three functions	1976	H. J. Brascamp Élliott H. Lieb	7
+	Free Random Variables	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica	7
+	Gaussian kernels have only Gaussian maximizers	1990	Élliott H. Lieb	6
+	Inequalities in Fourier Analysis	1975	William Beckner	6
+ PDF Chat	Hölder-Type Inequalities for Norms of Wick Products	2008	Alberto Lanconelli Aurel I. Stan	6
+ PDF Chat	Gamma distributed random variables and their semi-quantum operators	2014	Gabriela Popa Aurel I. Stan	6
+ PDF Chat	MOMENTS AND q-COMMUTATORS OF NONCOMMUTATIVE RANDOM VECTORS	2011	Krzysztof Drożdżewicz Wojciech Matysiak	5
+ PDF Chat	Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities	2009	Eric A. Carlen Dario Cordero–Erausquin	5
+	Some Norm Inequalities for Gaussian Wick Products	2010	Alberto Lanconelli Aurel I. Stan	5
+ PDF Chat	Orthogonal Polynomials	1971		5
+ PDF Chat	Two-dimensional Meixner Random Vectors of Class ${\mathcal{M}}_{L}$	2010	Aurel I. Stan	5
+	GAUSSIAN HILBERT SPACES (Cambridge Tracts in Mathematics 129)	1998	David Nualart	5
+ PDF Chat	On a dual pair of spaces of smooth and generalized random variables	1995	Jürgen Potthoff Matthias Timpel	5
+	An Itô formula for a family of stochastic integrals and related Wong–Zakai theorems	2013	Paolo Da Pelo Alberto Lanconelli Aurel I. Stan	5
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	5
+	WICK CALCULUS FOR THE SQUARE OF A GAUSSIAN RANDOM VARIABLE WITH APPLICATION TO YOUNG AND HYPERCONTRACTIVE INEQUALITIES	2012	Alberto Lanconelli Luigi Sportelli	4
+	Position–momentum decomposition of linear operators defined on algebras of polynomials	2021	Aurel I. Stan Gabriela Popa Ruma Dutta	4
+ PDF Chat	MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS II	2004	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo	4
+	The free Markoff field	1973	Edward Nelson	4
+	The uncertainty principle: A mathematical survey	1997	Gerald B. Folland Alladi Sitaram	4
+ PDF Chat	A Note on an Inequality Involving the Normal Distribution	1981	Herman Chernoff	4
+ PDF Chat	On a new probabilistic representation for the solution of the heat equation	2011	Paolo Da Pelo Alberto Lanconelli	4
+	BEST CONSTANTS IN NORMS OF WICK PRODUCTS	2006	Aurel I. Stan	4
+	On orthogonal polynomials	1975	P. Túrán	4
+	INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES	2006	Izumi Kubo Hui-Hsiung Kuo Suat Namli	3
+ PDF Chat	The Malliavin Calculus and Related Topics	1995	David Nualart	3
+ PDF Chat	A sharp analog of Young’s inequality on SN and related entropy inequalities	2004	Eric A. Carlen Élliott H. Lieb Michael Loss	3
+ PDF Chat	2-Meixner random variables and semi-quantum operators	2017	Gabriela Popa Aurel I. Stan	3
+	A HÖLDER INEQUALITY FOR NORMS OF POISSONIAN WICK PRODUCTS	2013	Alberto Lanconelli Aurel I. Stan	3
+	On the relation between ordinary and stochastic differential equations	1965	Eugene Wong Zakai Moshe	3
+ PDF Chat	On hypercontractivity for multipliers on orthogonal polynomials	1983	Svante Janson	3
+ PDF Chat	Interacting Fock Spaces and Gaussianization of Probability Measures	1998	Luigi Accardi Marek Bożejko	3
+	Fourier Series and Integrals	1949	Harry Dym H. P. McKean	3
+ PDF Chat	INTERACTING FOCK SPACES AND ORTHOGONAL POLYNOMIALS IN SEVERAL VARIABLES	2003	Luigi Accardi MARCOLINO NAHNI	3
+ PDF Chat	Two-dimensional 1-Meixner random vectors and their semi-quantum operators	2015	Gabriela Popa Aurel I. Stan	3
+ PDF Chat	MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS I.	2003	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo	3
+	BEST CONSTANTS IN NORMS OF RETARDED WICK PRODUCTS	2010	Aurel I. Stan	2
+	Functional Inequalities for Convolution Probability Measures	2013	Feng‐Yu Wang Jian Wang	2
+	Hall’s transform and the Segal-Bargmann map	1996	Leonard Gross Paul Malliavin	2
+ PDF Chat	Askey-Wilson polynomials and the quantum SU(2) group: Survey and applications	1996	H.T. Koelink	2
+ PDF Chat	None	1997	Yaozhong Hu	2
+ PDF Chat	Interpolation between logarithmic Sobolev and Poincare inequalities	2007	Anton Arnold Jean-Philippe Bartier Jean Dolbeault	2
+ PDF Chat	Wick Approximation of Quasilinear Stochastic Differential Equations	1996	Yaozhong Hu Bernt Øksendal	2
+	Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus	1991	Yuh-Jia Lee	2
+	Positive and Strongly Positive Wiener Functionals	1993	David Nualart Moshe Zakai	2
+	On a Hilbert space of analytic functions and an associated integral transform part I	1961	V. Bargmann	2
+ PDF Chat	A connection between the Poissonian Wick product and the discrete convolution	2011	Alberto Lanconelli Luigi Sportelli	2