Magnetic Dirichlet Laplacian in curved waveguides

Authors: Barseghyan, Diana, Bernstein, Swanhild, Schneider, Baruch, Zimmermann, Martha Lina

Subject Terms: Mathematics - Spectral Theory, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2502.21247

Paley-Wiener Type Theorems associated to Dirac Operators of Riesz-Feller type

Authors: Bernstein, Swanhild, Faustino, Nelson

Subject Terms: Mathematics - Complex Variables, Mathematics - Functional Analysis, 15A66, 30G35, 35S10, 42B10, 47A11

Access URL: http://arxiv.org/abs/2405.04989

Hardy decomposition of higher order Lipschitz classes by polymonogenic functions

Authors: Toranzo, Lianet De la Cruz, Blaya, Ricardo Abreu, Bernstein, Swanhild

Subject Terms: Mathematics - Complex Variables, 30G35, 31B10, 47B38, 47A05

Access URL: http://arxiv.org/abs/2404.16447

Decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions

Authors: Toranzo, Lianet De la Cruz, Blaya, Ricardo Abreu, Bernstein, Swanhild

Source: J. Math. Anal. Appl. 536 (2024) 128242

Subject Terms: Mathematics - Complex Variables, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2305.15838

Construction of Weighted Clifford Prolate Spheroidal wave Functions

Authors: Ghaffari, Hamed Baghal, Bernstein, Swanhild

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2302.02748

Magnetic Neumann Laplacian on a domain with hole

Authors: Barseghyan, Diana, Bernstein, Swanhild, Schneider, Baruch

Subject Terms: Mathematics - Spectral Theory, Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2301.09181

First steps towards $q$-deformed Clifford analysis

Authors: Zimmermann, Martha Lina, Bernstein, Swanhild, Schneider, Baruch

Subject Terms: Mathematics - Complex Variables, Mathematical Physics, 30G35, 81R50

Access URL: http://arxiv.org/abs/2203.14560

Brownian motion, martingales and It\^o formula in Clifford analysis

Authors: Bernstein, Swanhild, Legatiuk, Dmitrii

Subject Terms: Mathematics - Probability, Mathematics - Functional Analysis, 30G35, 60H40, 46G99, 60H15

Access URL: http://arxiv.org/abs/2201.05876

The Segal-Bargmann Transform in Clifford Analysis

Authors: Bernstein, Swanhild, Schufmann, Sandra

Subject Terms: Mathematics - Complex Variables, 30G35, 42B10, 44A15, 42C05

Access URL: http://arxiv.org/abs/2106.09956

Magnetic Neumann Laplacian on a domain with a hole

Authors: Barseghyan, Diana ^*, Schneider, Baruch, Bernstein, Swanhild

Source: In Reports on Mathematical Physics December 2023 92(3):259-278

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Fractional Riesz-Hilbert transforms and fractional monogenic signals

Authors: Bernstein, Swanhild

Subject Terms: Mathematics - Functional Analysis, 44A15, 30G35, 94A12, 94A08

Access URL: http://arxiv.org/abs/1507.05035

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Complex Turing patterns in chaotic dynamics of autocatalytic reactions with the Caputo fractional derivative.

Authors: Owolabi, Kolade M.¹, kmowolabi@futa.edu.ng, Agarwal, Ravi P.², Pindza, Edson³, Bernstein, Swanhild⁴, Osman, Mohamed S.⁵

Source: Neural Computing & Applications; May2023, Vol. 35 Issue 15, p11309-11335, 27p

Crystallographic and geodesic Radon transforms on SO(3): motivation, generalization, discretization

Authors: Bernstein, Swanhild, Pesenson, Isaac Z.

Subject Terms: Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1210.2652

Diffusive wavelets on the Spin group

Authors: Bernstein, Swanhild, Ebert, Svend, Sommen, Franciscus

Subject Terms: Mathematics - Functional Analysis, Mathematics - Complex Variables, Mathematics - Group Theory, Mathematics - Representation Theory, 42C40, 43A75, 43A77, 43A85, 43A90

Access URL: http://arxiv.org/abs/1202.1252

Generalized splines for Radon transform on compact Lie groups with applications to crystallography

Authors: Bernstein, Swanhild, Ebert, Svend, Pesenson, Isaac Z.

Source: J. Fourier Anal. Appl. 19 (2013), no. 1, 140-166

Subject Terms: Mathematics - Functional Analysis, Mathematical Physics

Access URL: http://arxiv.org/abs/1112.5862

Factorization of the nonlinear Schroedinger equation and applications

Authors: Bernstein, Swanhild

Subject Terms: Mathematics - Complex Variables, Mathematical Physics, 30G35, 35J10, 35F30, 35Q55

Access URL: http://arxiv.org/abs/math/0509018

A one-dimensional Radon transform on SO(3) and its application to texture goniometry

Authors: Bernstein, Swanhild, Schaeben, Helmut

Subject Terms: Mathematical Physics, 44A12, 65R10

Access URL: http://arxiv.org/abs/math-ph/0407027