Swanhild Bernstein

About Swanhild Bernstein

Swanhild Bernstein, With an exceptional h-index of 17 and a recent h-index of 8 (since 2020), a distinguished researcher at Technische Universität Bergakademie Freiberg, specializes in the field of Harmonic analysis, wavelets, frames, monogenic signals, Cliford analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

Hardy decomposition of higher order Lipschitz classes by polymonogenic functions

Hardy decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions

Quaternionic phase and axis/colour retrieval

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

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

Construction of Weighted Clifford Prolate Spheroidal wave Functions

Rock classification with features based on higher order Riesz transform

Brownian motion, martingales and Itô formula in Clifford analysis

Swanhild Bernstein Information

University

Position

Institute of Applied Analysis

Citations(all)

869

Citations(since 2020)

249

Cited By

837

hIndex(all)

17

hIndex(since 2020)

8

i10Index(all)

32

i10Index(since 2020)

7

Email

University Profile Page

Technische Universität Bergakademie Freiberg

Google Scholar

View Google Scholar Profile

Swanhild Bernstein Skills & Research Interests

Harmonic analysis

wavelets

frames

monogenic signals

Cliford analysis

Top articles of Swanhild Bernstein

Title

Journal

Author(s)

Publication Date

Hardy decomposition of higher order Lipschitz classes by polymonogenic functions

arXiv preprint arXiv:2404.16447

Lianet De la Cruz Toranzo

Ricardo Abreu Blaya

Swanhild Bernstein

2024/4/25

Hardy decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions

Journal of Mathematical Analysis and Applications

Lianet De la Cruz Toranzo

Ricardo Abreu Blaya

Swanhild Bernstein

2024/2/19

Quaternionic phase and axis/colour retrieval

Signal, Image and Video Processing

Martha L Zimmermann

Swanhild Bernstein

Bettina Heise

2023/10

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

arXiv preprint arXiv:2305.15838

Lianet De la Cruz Toranzo

Ricardo Abreu Blaya

Swanhild Bernstein

2023/5/25

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

Neural Computing and Applications

Kolade M Owolabi

Ravi P Agarwal

Edson Pindza

Swanhild Bernstein

Mohamed S Osman

2023/5

Construction of Weighted Clifford Prolate Spheroidal wave Functions

arXiv preprint arXiv:2302.02748

Hamed Baghal Ghaffari

Swanhild Bernstein

2023/2/6

Rock classification with features based on higher order Riesz transform

Advances in Applied Clifford Algebras

Martin Reinhardt

Swanhild Bernstein

Johanna Richter

2022/11

Brownian motion, martingales and Itô formula in Clifford analysis

Advances in Applied Clifford Algebras

Swanhild Bernstein

Dmitrii Legatiuk

2022/7

Multi-scale orientation estimation using higher order Riesz transforms

International Journal of Wavelets, Multiresolution and Information Processing

Martin Reinhardt

Swanhild Bernstein

Bettina Heise

2022/5/4

Automatic adjoint differentiation for gradient descent and model calibration Preface

International Journal of Wavelets, Multiresolution and Information Processing

Dmitri Goloubentsev

Evgeny Lakshtanov

2022/5/14

First steps towards -deformed Clifford analysis

arXiv preprint arXiv:2203.14560

Martha Lina Zimmermann

Swanhild Bernstein

Baruch Schneider

2022/3/28

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

arXiv preprint arXiv:2201.05876

Swanhild Bernstein

Dmitrii Legatiuk

2022/1/15

Toward infinite‐dimensional Clifford analysis

Mathematical Methods in the Applied Sciences

Swanhild Bernstein

2021

The Segal–Bargmann transform in clifford analysis

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative: Chapman University, November 2019

Swanhild Bernstein

Sandra Schufmann

2021

The fractional Clifford Fourier transform based on a deformed Hamiltonian for the harmonic oscillator

AIP Conference Proceedings

Swanhild Bernstein

Nelson Faustino

2020/11/24

See List of Professors in Swanhild Bernstein University(Technische Universität Bergakademie Freiberg)

Co-Authors

H-index: 22
Uwe Kaehler

Uwe Kaehler

Universidade de Aveiro

H-index: 16
Paula Cerejeiras

Paula Cerejeiras

Universidade de Aveiro

H-index: 10
Jean-Luc Bouchot

Jean-Luc Bouchot

Beijing Institute of Technology

H-index: 3
Martin Reinhardt

Martin Reinhardt

Technische Universität Bergakademie Freiberg

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